VU Matematikos ir informatikos instituto autoriaus 'Jonas Šiaulys' publikacijų sąrašas
pagal Lietuvos akademinių bibliotekų tinklo (LABT) publikacijų bazes VUB [nuo 2011 m. iki dabar] ir LMAVB [iki 2010 m. imtinai]:

Eil. Nr. Publikacija
1Leipus, Remigijus; Šiaulys, Jonas. On a closure property of convolution equivalent class of distributions // Journal of mathematical analysis and applications. San Diego, CA : Academic Press Inc. Elsevier Science. ISSN 0022-247X. eISSN 1096-0813. 2020, vol. 490, iss. 1, art. no. 124226, p. [1-8]. DOI: 10.1016/j.jmaa.2020.124226.
2Gylys, Rokas; Šiaulys, Jonas. Estimation of uncertainty in Mortality projections using state-space Lee-Carter model // Mathematic. Basel : MDPI. eISSN 2227-7390. 2020, vol.8, no. 7, art. no.1053, p. [1-23]. DOI: 10.3390/math8071053.
3Sprindys, Jonas; Šiaulys, Jonas. Regularly distributed randomly stopped sum, minimum, and maximum // Nonlinear analysis: modelling and control. Vilnius : Vilniaus universiteto leidykla. ISSN 1392-5113. eISSN 2335-8963. 2020, vol. 25, no. 3, p. 509-522. DOI: 10.15388/namc.2020.25.16661.
4Grigutis, Andrius; Šiaulys, Jonas. Ultimate time survival probability in three-risk discrete time risk model // Mathematic. Basel : MDPI. eISSN 2227-7390. 2020, vol. 8, no. 2, art. no. 147, p. [1-30]. DOI: 10.3390/math8020147.
5Gylys, Rokas; Šiaulys, Jonas. Revisiting calibration of the Solvency II Standard Formula for mortality risk: does the standard stress scenario provide an adequate approximation of Value-at-Risk? // Risks. Basel : MDPI AG. ISSN 2227-9091. 2019, vol. 7, iss. 2, art. no 58, p. [1-24]. DOI: 10.3390/risks7020058.
6Leipus, Remigijus; Šiaulys, Jonas; Vareikaitė, Ieva. Tails of higher-order moments with dominatedly varying summands // Lithuanian mathematical journal. New York : Springer Science+Business Media. ISSN 0363-1672. eISSN 1573-8825. 2019, vol. 59, no. 3, p. 389-407. DOI: 10.1007/s10986-019-09444-x.
7Navickienė, Olga; Sprindys, Jonas; Šiaulys, Jonas. Ruin probability for the bi-seasonal discrete time risk model with dependent claims // Modern stochastics: theory and applications. Vilnius : VTeX. ISSN 2351-6046. eISSN 2351-6054. 2019, vol. 6, no 1, p. 133-144. DOI: 10.15559/18-VMSTA118.
8Ragulina, Olena; Šiaulys, Jonas. Randomly stopped minima and maxima with exponential-type distributions // Nonlinear analysis : modelling and control. Vilnius : Vilnius University Press. ISSN 1392-5113. eISSN 2335-8963. 2019, vol. 24, iss. 2, p. 297-313. DOI: 10.15388/NA.2019.2.9.
9Gylys, Rokas; Šiaulys, Jonas. State space representation of Lee-Carter stochastic mortality model: application to modelling of insurers’ solvency capital // 11th international workshop on data analysis methods for software systems (DAMSS 2019), Druskininkai, Lithuania, November 28-30, 2019 / Lithuanian Computer Society, Vilnius University Institute of Data Science and Digital Technologies, Lithuanian Academy of Sciences. Vilnius : Vilnius University Press, 2019. ISBN 9786090703243. eISBN 9786090703250. p. 28. DOI: 10.15388/Proceedings.2019.8.
10Danilenko, Svetlana; Šiaulys, Jonas. Closure properties of Q-exponential distributions // Modern stochastics: theory and applications. IV: international conference dedicated to the 100-th anniversary of I.I.Gikhman, May 24-26, 2018, Kyiv: conference materials. Kyiv : Taras Shevchenko National University of Kyiv. 2018, p. 25. Prieiga per internetą: <http://probability.univ.kiev.ua/msta4/thesises/Conf_materials_MSTA4.pdf> [žiūrėta 2019-02-05].
11Stepanauskas, Gediminas; Šiaulys, Jonas. Asymptotical behaviour of arithmetic functions on shifted primes // Numbers, functions, equations 2018 (NFE'18): international conference, Hajdúszoboszló, Hungary, August 26 - September 1, 2018: conference booklet. Debrecen : Institute of Mathematics, University of Debrecen. 2018, p. 58. Prieiga per internetą: <http://nfe.up.krakow.pl/files/nfe18booklet.pdf> [žiūrėta 2019-02-05].
12Jaunė, Eglė; Ragulina, Olena; Šiaulys, Jonas. Expectation of the truncated randomly weighted sums with dominatedly varying summands // Lithuanian mathematical journal. New York : Springer Science+Business Media. ISSN 0363-1672. eISSN 1573-8825. 2018, vol. 58, no 4, p. 421-440. DOI: 10.1007/s10986-018-9408-1.
13Navickienė, Olga; Sprindys, Jonas; Šiaulys, Jonas. The Gerber-Shiu discounted penalty function for the bi-seasonal discrete time risk model // Informatica. Vilnius : Vilniaus universitetas Matematikos ir informatikos institutas. ISSN 0868-4952. eISSN 1822-8844. 2018, vol. 29, no 4, p. 733-756. DOI: 10.15388/Informatica.2018.190.
14Danilenko, Svetlana; Šiaulys, Jonas; Stepanauskas, Gediminas. Closure properties of O-exponential distributions // Statistics & probability letters. Amsterdam : Elsevier Science BV. ISSN 0167-7152. eISSN 1879-2103. 2018, Vol. 140, p. 63-70. DOI: 10.1016/j.spl.2018.04.012.
15Kizinevič, Edita; Šiaulys, Jonas. The exponential estimate of the ultimate ruin probability for the non-homogeneous renewal risk model // Risks. Basel : MDPI AG. ISSN 2227-9091. 2018, Vol. 6, Iss. 1, art. no. 20, [17 p.]. DOI: 10.3390/risks6010020.
16Kievinaitė, Dominyka; Šiaulys, Jonas. Exponential bounds for the tail probability of the supremum of an inhomogeneous random walk // Modern stochastics: theory and applications. Vilnius; Kiev : VTeX. ISSN 2351-6054. eISSN 2351-6054. 2018, Vol. 5, no. 2, p. 129-143. DOI: 10.15559/18-VMSTA99.
17Šiaulys, Jonas; Stepanauskas, Gediminas; Žvinytė, Laura. Discrete uniform limit law for a sum of additive functions on shifted primes // Lithuanian mathematical journal. New York : Springer. ISSN 0363-1672. eISSN 1573-8825. 2018, Vol. 58, no 2, p. 235-248. DOI: 10.1007/s10986-018-9389-0.
18Stepanauskas, Gediminas; Šiaulys, Jonas. Limit distributions for some sets of additive functions // Vilnius conference in combinatorics and number theory, Vilnius, Lithuania, July 16 - July 22, 2017 : program and abstract book [Elektroninis išteklius]. Vilnius : Vilniaus universitetas. 2017, p. 26-27. Prieiga per internetą: <http://mjcnt.phystech.edu/conference/vilnius/Vilnius2017.pdf> [žiūrėta 2018-05-14].
19Dindienė, Lina; Leipus, Remigijus; Šiaulys, Jonas. Closure property and tail probability asymptotics for randomly weighted sums of dependent random variables with heavy tails // Journal of the Korean Mathematical Society. Seoul : Korean Mathematical Society. ISSN 0304-9914. eISSN 2234-3008. 2017, Vol. 54, no 6, p. 1879-1903. DOI: 10.4134/JKMS.j160753.
20Danilenko, Svetlana; Markevičiūtė, Jurgita; Šiaulys, Jonas. Randomly stopped sums with exponential-type distributions // Nonlinear analysis: modelling and control. Vilnius : Vilnius University Institute of Mathematics and Informatics. ISSN 1392-5113. 2017, Vol. 22, No. 6, p. 793-807. DOI: 10.15388/NA.2017.6.5.
21Šiaulys, Jonas; Stepanauskas, Gediminas. Discrete limit laws generated by large prime numbers // Analytic and probabilistic methods in number theory: proceedings of 6th international conference, Palanga, Lithuania, 11-17 September 2016 / editors: A. Dubickas, A. Laurinčikas, E. Manstavičius, G. Stepanauskas. Vilnius : Vilniaus universiteto leidykla, 2017. ISBN 9786094598593. p. 185-195.
22Leipus, Remigijus; Šiaulys, Jonas. On the random max-closure for heavy-tailed random variables // Lithuanian mathematical journal. New York : Springer. ISSN 0363-1672. eISSN 1573-8825. 2017, Vol. 57, no 2, p. 208-221. DOI: 10.1007/s10986-017-9355-2.
23Andrulytė, Ieva Marija; Manstavičius, Martynas; Šiaulys, Jonas. Randomly stopped maximum and maximum of sums with consistently varying distributions // Modern stochastics: theory and applications. Vilnius; Kiev : VTeX. ISSN 2351-6054. 2017, Vol. 4, no 1, p. 65-78. DOI: 10.15559/17-VMSTA74.
24Šiaulys, Jonas; Leipus, Remigijus. Random max-closure property of heavy-tailed random variables // The book of abstracts for the 10th international conference on extreme value analysis, Delft University of Technology, The Netherlands, June 26-30, 2017. Delft : Delft University of Technology. 2017, p. 50.
25Šiaulys, Jonas. Exponential bounds for the ruin probability of non-homogeneous risk models // SPAS 2017 : Internbational conference on stochastic processes and algebraic structures: from theory towards applications dedicated to professor Dmitrii S. Silvestrovs 70th birthday, Västerås and Stockholm, October 4-6, 2017: booklet of abstracts. Stockholm : Stockholm University. 2017, p. 62-63.
26Bernackaitė, Emilija; Šiaulys, Jonas. The finite-time ruin probability for an inhomogeneous renewal risk model // Journal of industrial and management optimization. Springfield, MO : American Institute of Mathematical Sciences. ISSN 1547-5816. eISSN 1553-166X. 2017, Vol. 13, No. 1, p. 207-222. DOI: 10.3934/jimo.2016012.
27Kizinevič, Edita; Sprindys, Jonas; Šiaulys, Jonas. Randomly stopped sums with consistently varying distributions // Modern stochastics: theory and applications. Kiev : VTeX. ISSN 2351-6054. 2016, Vol. 3, No. 2, p. 165-179. DOI: 10.15559/16-VMSTA60.
28Danilenko, Svetlana; Šiaulys, Jonas. Randomly stopped sums of not identically distributed heavy tailed random variables // Statistics and probability letters. Amsterdam : Elsevier. ISSN 0167-7152. 2016, Vol. 113, p. 84-93. DOI: 10.1016/j.spl.2016.03.001.
29Šiaulys, Jonas. A Lundberg-type inequality for an inhomogeneous renewal risk model // The 10th Tartu conference on multivariate statistics, 28 June - 1 July 2016, Tartu, Estonia : abstracts. Tartu : University of Tartu Press, 2016. ISBN 9789949771530. p. 59. Prieiga per internetą: <http://www-1.ms.ut.ee/tartu16/Abstracts2016.pdf> [žiūrėta 2016-09-15].
30Danilenko, Svetlana; Paškauskaitė, Simona; Šiaulys, Jonas. Random convolution of inhomogeneous distributions with O-exponential tail // Modern stochastics: theory and applications. Kiev : VTeX. ISSN 2351-6054. 2016, Vol. 3, no 1, p. 79-94. DOI: 10.15559/16-VMSTA52.
31Dindienė, Lina; Leipus, Remigijus; Šiaulys, Jonas. Closure property and tail probability asymptotics for randomly weighted sums of dependent random variables with heavy tails // The 10th Tartu conference on multivariate statistics, 28 June - 1 July 2016, Tartu, Estonia : abstracts. Tartu : University of Tartu Press, 2016. ISBN 9789949771530. p. 15. Prieiga per internetą: <http://www-1.ms.ut.ee/tartu16/Abstracts_Lina.pdf> [žiūrėta 2016-09-15].
32Šiškina, Natalja; Šiaulys, Jonas. ARMA models for mortality forecast = ARMA modeliai mirtingumo prognozei // Lithuanian journal of statistics = Lietuvos statistikos darbai. Vilnius : Lietuvos statistikos departamentas. ISSN 1392-642X. eISSN 2029-7262. 2016, Vol. 55, no 1, p. 31-44. Prieiga per internetą: <http://www.statisticsjournal.lt/index.php/statisticsjournal/article/view/156> [žiūrėta 2016-12-09].
33Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas. Asymptotics for randomly weighted and stopped dependent sums // Stochastics: an international journal of probability and stochastic processes. Abingdon : Taylor and Francis. ISSN 1744-2508. eISSN 1744-2516. 2016, Vol. 88, No. 2, p. 300-319. DOI: 10.1080/17442508.2015.1052812.
34Navickienė, Olga; Šiaulys, Jonas. Gerber-Shiu discounted penalty function for the bi-seasonal discrete time risk model // The 10th Tartu conference on multivariate statistics, 28 June - 1 July 2016, Tartu, Estonia : abstracts. Tartu : University of Tartu Press, 2016. ISBN 9789949771530. p. 40. Prieiga per internetą: <http://www-1.ms.ut.ee/tartu16/Abstracts_Navickiene.pdf> [žiūrėta 2016-09-15].
35Andrulytė, Ieva Marija; Bernackaitė, Emilija; Kievinaitė, Dominyka; Šiaulys, Jonas. A Lundberg-type inequality for an inhomogeneous renewal risk model // Modern stochastics: theory and applications. Kiev : VTeX. ISSN 2351-6054. 2015, Vol. 2, no 2, p. 173-184. DOI: 10.15559/15-VMSTA30.
36Damarackas, Julius; Šiaulys, Jonas. A note on the net profit condition for discrete and clasical risk models // Lithuanian Mathematical Journal /. New York : Springer New York LLC. ISSN 0363-1672. eISSN 1573-8825. 2015, Vol. 55, No. 4, p. 465-473. DOI: 10.1007/s10986-015-9292-x.
37Grigutis, Andrius; Korvel, Agneška; Šiaulys, Jonas. Ruin probabilities of a discrete-time multi-risk model // Information technology and control. Kaunas : Technologija. ISSN 1392-124X. eISSN 2335-884X. 2015, Vol. 44, no 4, p. 367-379. DOI: 10.5755/j01.itc.44.4.8635.
38Yang, Yang; Ignatavičiūtė, Eglė; Šiaulys, Jonas. Conditional tail expectation of randomly weighted sums with heavy-tailed distributions // Statistics and probability letters. Amsterdam : Elsevier. ISSN 0167-7152. 2015, Vol. 105, p. 20-28. DOI: 10.1016/j.spl.2015.05.016.
39Šiaulys, Jonas. Inhomogeneity problems in risk theory // The workshop on new directions in risk theory, Nanjing, October 31, 2015 : [abstracts]. Nanjing : Nanjing Audit University. 2015, p. 6.
40Grigutis, Andrius; Korvel, Agneška; Šiaulys, Jonas. Ruin probability in the three-seasonal discrete-time risk model // Modern stochastics: theory and applications / Vilnius university, Taras Shevchenko National University of Kyiv ; editorial board: co-editors-in-chief K. Kubilius, Yu. Mishura. Vilnius : VTeX. ISSN 2351-6054. 2015, Vol. 2, No. 4, p. 421-441. DOI: 10.15559/15-VMSTA45.
41Bernackaitė, Emilija; Šiaulys, Jonas. The exponential moment tail of inhomogeneous renewal process // Statistics & probability letters. Amsterdam : Elsevier BV. ISSN 0167-7152. eISSN 1872-2103. 2015, Vol. 97, p. 9-15. DOI: 10.1016/j.spl.2014.10.018.
42Danilenko, Svetlana; Šiaulys, Jonas. Random Convolution of O-exponential distributions // Nonlinear analysis: modelling and control. Vilnius : Vilnius University Institute of Mathematics and Informatics. ISSN 1392-5113. 2015, Vol. 20, no. 3, p. 447-454. DOI: 10.15388/NA.2015.3.9.
43Stepanauskas, Gediminas; Šiaulys, Jonas. On the limit distributions for some sets of additive arithmetic functions // 13th Serbian mathematical congress, May 22-25, 2014, Vrnjačka Banja, Serbia : book of abstracts. Niš : University of Niš, 2014. ISBN 9788662750266. p. 22. Prieiga per internetą: <http://tesla.pmf.ni.ac.rs/people/smak/book_of_abstracts.pdf> [žiūrėta 2014-10-21].
44Šiaulys, Jonas. On the maxima tail probability of a random walk // 11th international Vilnius conference on probability theory and mathematical statistics : abstracts of communication, Vilnius, birželio 30-liepos 4 d. Vilnius : TEV, 2014. ISBN 9786094332203. p. 223.
45Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas. Closure property and maximum of randomly weighted sums with heavy-tailed increments // Statistics & probability letters. Amsterdam : Elsevier BV. ISSN 0167-7152. 2014, Vol. 91, p. 162-170. DOI: 10.1016/j.spl.2014.04.020.
46Damarackas, Julius; Šiaulys, Jonas. Bi-seasonal discrete time risk model // Applied mathematics and computation. New York : Elsevier Science Inc. ISSN 0096-3003. 2014, vol. 247, p. 930-940. DOI: 10.1016/j.amc.2014.09.040.
47Šiaulys, Jonas; Stepanauskas, Gediminas. On the one Elliott problem // 11th international Vilnius conference on probability theory and mathematical statistics : abstracts of communication, Vilnius, birželio 30-liepos 4 d. Vilnius : TEV, 2014. ISBN 9786094332203. p. 224.
48Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas. Precise large deviations for actual aggregate loss process in a dependent compound customer-arrival-based insurance risk model // Lithuanian mathematical journal. New York : Springer. ISSN 0363-1672. 2013, Vol. 53, no. 4, p. 448-470. DOI: 10.1007/s10986-013-9221-9.
49Stepanauskas, Gediminas; Šiaulys, Jonas. On the limit distributions for some sets of additive arithmetic functions // Fifth international conference on analytic number theory and spatial tessellations, Kyiv, September 16-20, 2013 : abstracts. Kyiv. 2013, p. 33.
50Šiaulys, Jonas; Stepanauskas, Gediminas; Vasiliauskaitė, Laura. An explicit formula for the greatest common divisor of three integers // Šiauliai mathematical seminar / Šiauliai University. Šiauliai : Šiaulių universiteto leidykla. ISSN 1822-511X. 2013, vol. 8, p. 261-265. Prieiga per internetą: <http://siauliaims.su.lt/pdfai/2013/Siau-Step-Vasi-2013.pdf> [žiūrėta 2014-02-26].
51Yang, Yang; Wang, Kaiyong; Leipus, Remigijus; Šiaulys, Jonas. A note on the max-sum equivalence of randomly weighted sums of heavy-tailed random variables // Nonlinear analysis : modelling and control. Vilnius : Institute of Mathematics and Informatics. ISSN 1392-5113. 2013, vol. 18, no. 4, p. 519-525. Prieiga per internetą: <http://www.mii.lt/na/issues/NA_1804/NA18408.pdf> [žiūrėta 2013-10-01].
52Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas. Asymptotic of random sums of negatively dependent random variables in the presence of dominatedly varying tails // Lithuanian mathematical journal. New York : Springer. ISSN 0363-1672. 2012, vol. 52, no. 2, p. 222-232. DOI: 10.1007/s10986-012-9169-1.
53Leipus, Remigijus; Šiaulys, Jonas. Closure of some heavy-tailed distribution classes under random convolution // Lithuanian mathematical journal. New York : Springer. ISSN 0363-1672. 2012, vol. 52, no. 3, p. 249-258. DOI: 10.1007/s10986-012-9171-7.
54Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas. Precise large deviations for compound random sums in the presence of dependence structures // Computers and mathematics with applications. Kidlington : Pergamon. ISSN 0898-1221. 2012, vol. 64, no 6, p. 2074-2083. DOI: 10.1016/j.camwa.2012.04.003.
55Kvedaras, Virmantas; Leipus, Remigijus; Šiaulys, Jonas. Estimation of the generalized stochastic claims Reserving model and the chain-ladder method // Pinigų studijos. Vilnius : Lietuvos bankas. ISSN 1392-2637. 2012, T. 16, nr. 1, p. 68-90. Prieiga per internetą: <https://www.lb.lt/uploads/documents/docs/publications/pinigu_studijos_2012_m_nr_1.pdf#page=68> [žiūrėta 2017-12-20].
56Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas. Tail probability of randomly weighted sums of subexponential random variables under a dependence structure // Statistics & probability letters. Amsterdam : Elsevier BV. ISSN 0167-7152. 2012, Vol. 82, no. 9, p. 1727-1736. DOI: 10.1016/j.spl.2012.05.016.
57Bieliauskienė, Eugenija; Šiaulys, Jonas. Gerber–Shiu function for the discrete inhomogeneous claim case // International journal of computer mathematics. Colchester : Taylor & Francis Ltd. ISSN 0020-7160. 2012, vol. 89, no 12, p. 1617-1630. DOI: 10.1080/00207160.2012.693607.
58Ignatavičiūtė, Eglė; Mikalauskaitė-Arminienė, Rasa; Šiaulys, Jonas. Lee-Carter mortality forecasting // Lietuvos statistikos darbai. Vilnius : Statistikos departamentas prie Lietuvos Respublikos Vyriausybės. ISSN 1392-642X. 2012, Vol. 51, nr. 1, p. 22-35. Prieiga per internetą: <http://www.statisticsjournal.lt/index.php/statisticsjournal/article/view/82> [žiūrėta 2018-05-30].
59Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas. On the ruin probability in a dependent discrete time risk model with insurance and financial risks // Journal of computational and applied mathematics. Amsterdam : Elsevier BV. ISSN 0377-0427. 2012, vol. 236, no 13, p. 3286-3295. DOI: 10.1016/j.cam.2012.02.030.
60Šiaulys, Jonas; Stepanauskas, Gediminas. Discrete uniform limit law for additive prime number indicators // Analytic and probabilistic methods in number theory : proceedings of the 5th international conference in honour of J. Kubilius, Palanga, 4-10 September, 2011 / editors: A. Laurinčikas, E. Manstavičius, G. Stepanauskas. Vilnius : TEV, 2012. ISBN 9786094331787. p. 255-263.
61Šiaulys, Jonas; Stepanauskas, Gediminas. Binomial limit law for additive prime indicators // Lithuanian mathematical journal. New York : Springer. ISSN 0363-1672. 2011, vol. 51, no. 4, p. 562-572. DOI: 10.1007/s10986-011-9148-y.
62Leipus, Remigijus; Šiaulys, Jonas. Finite-horizon ruin probability asymptotics in the compound discrete-time risk model // Lithuanian mathematical journal. New York : Springer. ISSN 0363-1672. 2011, vol. 51, no. 2, p. 207-219. DOI: 10.1007/s10986-011-9120-x.
63Stepanauskas, Gediminas; Šiaulys, Jonas. On limit distributions for additive prime indicators // 27th Journées Arithmétiques, June 27 - July 1, 2011, Vilnius, Lithuania : programme and abstract book. Vilnius : Vilniaus universitetas. 2011, p. 58. Prieiga per internetą: <http://at.yorku.ca/c/b/c/w/04.htm> [žiūrėta 2011-07-08].
64Yang, Y.; Leipus, Remigijus; Šiaulys, Jonas; Cang, Yuquan. Uniform estimates for the finite-time ruin probability in the dependent renewal risk model // Journal of mathematical analysis and applications. San Diego : Academic Press Inc Elsevier Science. ISSN 0022-247X. 2011, vol. 383, no. 1, p. 215-225. DOI: 10.1016/j.jmaa.2011.05.013.
65Yang, Yang; Wang, Kaiyong; Leipus, Remigijus; Šiaulys, Jonas. Tail behavior of sums and maxima of sums of dependent subexponential random variables // Acta applicandae mathematicae. ISSN 0167-8019. 2011, vol. 114, no 3, p. 219-231. DOI: 10.1007/s10440-011-9610-1.
66Škarnulis, Andrius; Šiaulys, Jonas. Ekonominės situacijos įtakos Lietuvos valstybinio socialinio draudimo fondo pajamoms ir išlaidoms tyrimas ir matematinis modeliavimas // Studentų moksliniai darbai 2010-2011 m. D. 2. : konferencijos medžiaga. Vilnius : Baltijos kopija, 2011. ISBN 9786094170232. p. 238-240.
67Kočetova, Jelena; Šiaulys, Jonas. Asymptotic behavior of the Gerber–Shiu discounted penalty function in the Erlang(2) risk process with subexponential claims // Nonlinear analysis : modelling and control. Vilnius : Institute of Mathematics and Informatics. ISSN 1392-5113. 2011, vol. 16, no. 3, p. 315-331. Prieiga per internetą: <http://www.lana.lt/journal/42/NA16304.pdf> [žiūrėta 2011-09-28].
68Bieliauskienė, Eugenija; Šiaulys, Jonas. Draudimo įmonės bankroto tikimybės analizė skirtingai pasiskirsčiusių žalų atveju = Computations of Ruin Probabilities in Inhomogeneous Claim Case // Fizinių ir technologijos mokslų tarpdalykiniai tyrimai : pirmosios LMA Jaunųjų mokslininkų konferencijos pranešimų santraukos, Vilnius, 2011.02.08 [Elektroninis išteklius]. Vilnius : LMA leidykla. 2011, [p. 1-1].
69Bieliauskienė, Eugenija; Šiaulys, Jonas. Infinite time ruin probability in inhomogeneous claims case = Begalinio laiko bankroto tikimybė skirtingai pasiskirsčiusioms žaloms // Lietuvos matematikos rinkinys. LMD darbai. Vilnius : Matematikos ir informatikos institutas. ISSN 0132-2818. 2010, t. 51, p. 352-356. Prieiga per internetą: <ftp://ftp.science.mii.lt/Pub/Publications/51_TOMAS(2010)/OPER_TYR_DRAUD_MATEMATIKA/Biel_Siaul.pdf> [žiūrėta 2011-01-06].
70Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas. Local precise large deviations for sums of random variables with O-regularly varying densities // Statistics & probability letters. ISSN 0167-7152. 2010, Vol. 80, iss. 19-20, p. 1559-1567. DOI: 10.1016/j.spl.2010.06.011.
71Šiaulys, Jonas; Leipus, Remigijus. Asymptotics of random sums of negatively dependent random variables in the presence of dominatedly varying tails // 10th international Vilnius conference on probability theory and mathematical statistics = 10-oji tarptautinė Vilniaus tikimybių teorijos ir matematinės statistikos konferencija : [abstracts]. Vilnius : TEV, 2010. ISBN 9786094330094. p. 275.
72Kočetova, Jelena; Šiaulys, Jonas. Investigation of the Gerber-Shiu discounted penalty function on finite time horizon // Information technology and control / Kauno technologijos universitetas. Kaunas : Technologija. ISSN 1392-124X. 2010, T. 39, no. 1, p. 18-24. Prieiga per internetą: <http://itc.ktu.lt/index.php/ITC/article/view/12088> [žiūrėta 2018-05-31].
73Stepanauskas, Gediminas; Šiaulys, Jonas. On the discrete uniform distribution of additive arithmetic functions // 10th international Vilnius conference on probability theory and mathematical statistics = 10-oji tarptautinė Vilniaus tikimybių teorijos ir matematinės statistikos konferencija : [abstracts]. Vilnius : TEV, 2010. ISBN 9786094330094. p. 268-269.
74Blaževičius, Karolis; Bieliauskienė, Eugenija; Šiaulys, Jonas. Finite-time ruin probability in the inhomogeneous claim case // Lithuanian mathematical journal. New York : Springer. ISSN 0363-1672. 2010, vol. 50, no. 1, p. 260-270. DOI: 10.1007/s10986-010-9084-2.
75Aleškevičienė, Aldona; Leipus, Remigijus; Šiaulys, Jonas. Second-order asymptotics of ruin probabilities for semiexponential claims // Lithuanian mathematical journal. New York : Springer. ISSN 0363-1672. 2009, vol. 49, no. 4, p. 364-371. DOI: 10.1007/s10986-009-9063-7.
76Yang, Y.; Wang, Y.; Leipus, Remigijus; Šiaulys, Jonas. Asymptotics for tail probability of total claim amount with negatively dependent claim sizes and its applications // Lithuanian mathematical journal. Vilnius : Matematikos ir informatikos institutas. ISSN 0132-2818. 2009, t. 49, no. 3, p. 337-352. DOI: 10.1007/s10986-009-9053-9.
77Šiaulys, Jonas; Leipus, Remigijus. Finite-time ruin probability asymptotic in renewal risk model // 16th International Conference on Mathematical Methods in Economy and Industry The Joint Czech-German-Slovak Conference, June 15–18, 2009 : book of abstracts. České Budějovice. 2009, p. 26.
78Kočetova, Jelena; Leipus, Remigijus; Šiaulys, Jonas. A property of the renewal counting process with application to the finite-time ruin probability // Lithuanian mathematical journal. New York : Springer. ISSN 0363-1672. 2009, Vol. 49, no. 1, p. 55-61. DOI: 10.1007/s10986-009-9032-1.
79Leipus, Remigijus; Šiaulys, Jonas. Asymptotic behaviour of the finite-time ruin probability in renewal risk models // Applied stochastic models in business and industry. Chichester : John Wiley & Sons Ltd. ISSN 1524-1904. 2009, vol. 25, no. 3, p. 309-321. DOI: 10.1002/asmb.747.
80Statulevičienė, Aldona; Leipus, Remigijus; Šiaulys, Jonas. Tail behavior of random sums under consistent variation with applications to the compound renewal risk model // Extremes. ISSN 1386-1999. 2008, vol. 11, no. 3, p. 261-279. DOI: 10.1007/s10687-008-0057-3.
81Baltrūnas, Aleksandras; Leipus, Remigijus; Šiaulys, Jonas. Precise large deviation results for the total claim amount under subexponential claim sizes // Statistics & probability letters. ISSN 0167-7152. 2008, Vol. 78, iss. 10, p. 1206-1214. DOI: 10.1016/j.spl.2007.11.016.
82Šiaulys, Jonas; Stepanauskas, Gediminas. Poisson distribution for a sum of additive functions on arithmetic progressions // Annales Universitatis Scientiarum Budapestinensis de Rolando Eotvos Nominatae : Sectio computatorica. ISSN 0138-9491. 2008, vol. 29, p. 199-212. Prieiga per internetą: <http://ac.inf.elte.hu/Vol_029_2008/199.pdf>.
83Šiaulys, Jonas; Stepanauskas, Gediminas. Some limit laws for strongly additive prime indicators // Šiauliai mathematical seminar. ISSN 1822-511X. 2008, vol. 3, no. 11, p. 235-246.
84Šiaulys, Jonas. On the limit laws for strongly additive prime indicators // Numbers, functions, eguations '08 : [conference : books of abstracts], De La Motte Castle, Noszvaj, June 15-21, 2008 : dedicated to the 70th birthday of professors Zoltan Daroczy and Imre Katai. Noszvaj. 2008, [p. 1].
85Šiaulys, Jonas. One limit theorem for distributions of additive functions // Šiauliai mathematical seminar. ISSN 1822-511X. 2007, vol. 2(10), p. 107-116. Prieiga per internetą: <http://siauliaims.su.lt/pdfai/2007/Siaulys-07-pdf.pdf> [žiūrėta 2008-06-18].
86Baltrūnas, Aleksandras; Šiaulys, Jonas. Second order asymptotic behaviour of subordinated sequences with longtailed subordinator // Journal of mathematical analysis and applications. ISSN 0022-247X. 2007, Vol. 332, Iss. 1, p. 22-31. DOI: 10.1016/j.jmaa.2006.09.057.
87Šiaulys, Jonas; Stepanauskas, Gediminas. The poisson law for additive functions on shifted primes // Analytic and probabilistic methods in number theory : proceedings of thefourth international conference in honour of J. Kubilius, Palanga, Lithuania, 25-29 September 2006. Vilnius : TEV, 2007. ISBN 9789955680819. p. 204-212.
88Šiaulys, Jonas; Stepanauskas, Gediminas. Poisson distribution for a sum of additive functions // Acta applicandae mathematicae. ISSN 0167-8019. 2007, Vol. 97, iss. 1-3, p. 269-279. DOI: 10.1007/s10440-007-9120-3.
89Šiaulys, Jonas; Stepanauskas, Gediminas. On the mean value of the product of multiplicative functions with shifted argument // Monatshefte für Mathematik. ISSN 0026-9255. 2007, vol. 150, no. 4, p. 343-351. DOI: 10.1007/s00605-006-0411-y.
90Leipus, Remigijus; Šiaulys, Jonas. Asymptotic behaviour of the finite-time ruin probability under subexponential claim sizes // Insurance: mathematics and economics. ISSN 0167-6687. 2007, vol. 40, no. 3, p. 498-508. DOI: 10.1016/j.insmatheco.2006.07.006.
91Šiaulys, Jonas; Stepanauskas, Gediminas. Poisson distribution for a sum of additive functions on shifted primes // Acta arithmetica. ISSN 0065-1036. 2007, vol. 130, no. 4, p. 403-414. DOI: 10.4064/aa130-4-9.
92Šiaulys, Jonas; Mačiulis, Algirdas. Bounds for the local distance between arithmetical distributions // Acta applicandae mathematicae. ISSN 0167-8019. 2007, Vol. 97, iss. 1-3, p. 261-267. DOI: 10.1007/s10440-007-9123-0.
93Šiaulys, Jonas; Asanavičiūtė, Rasa. On the Gerber-Shiu discounted penalty function for subexponential claims = Gerber-Shiu diskontuota baudos funkcija subeksponentinėms žaloms // Lietuvos matematikos rinkinys. ISSN 0132-2818. 2006, t. 46, nr. 4, p. 598-605.
94Šiaulys, Jonas; Kočetova, Jelena. On the discounted penalty function for claims having mixed exponential distribution // Nonlinear analysis : modelling and control. ISSN 1392-5113. 2006, vol. 11, no. 4, p. 413-426. Prieiga per internetą: <https://www.mii.lt/na/issues/NA_1104/NA11407.pdf> [žiūrėta 2019-11-20].
95Šiaulys, Jonas. The joint limit theorem for distributions of integer valued additive functions // Šiauliai mathematical seminar. ISSN 1822-511X. 2006, vol. 1(9), p. 99-111. Prieiga per internetą: <http://siauliaims.su.lt/pdfai/2006/Siaulys-06.pdf> [žiūrėta 2019-11-20].
96Šiaulys, Jonas. The factorial moment method in probalilistic number theory // 9th international Vilnius conference on probability theory and mathematical statistics, June 25-30, 2006 = 9-oji tarptautinė Vilniaus tikimybių teorijos ir matematinės statistikos konferencija : abstracts of communications. Vilnius : TEV, 2006. ISBN 9955680342. p. 60.
97Šiaulys, Jonas; Mačiulis, Algirdas. On the limit laws of distributions of a additive functions // Ramanujan journal. New York : Springer New York LLC. ISSN 1382-4090. 2006, vol. 12, no 2, p. 167-183. DOI: 10.1007/s11139-006-0071-5.
98Šiaulys, Jonas; Stepanauskas, Gediminas. The factorial moments of additive functions with rational argument // Journal of the Australian mathematical society. Cambridge : Cambridge University Press. ISSN 1446-7887. 2006, vol. 81, part 3, p. 425-440. DOI: 10.1017/S1446788700014403.
99Kutka, Eduardas; Juozapavičius, Algimantas; Šiaulys, Jonas. Models of Cargo Transportation routes and lifespan of Cargo Transportation Company // Transport means 2006 : preceedings of the 10th international conference, October 19-20, 2006, Kaunas, Lithuania. Kaunas : Technologija. ISSN 1822-296X. 2006, p. 167-169.
100Šiaulys, Jonas; Stepanauskas, Gediminas. Последовательности аддитивных функций Кубилюсского типа = The sequences of additive functions of the Kubilius type = Kubiliaus tipo adityviųjų funkcijų sekos // Lietuvos matematikos rinkinys. ISSN 0132-2818. 2005, T. 45, Nr. 2, p. 270-281.
101Šiaulys, Jonas; Mačiulis, Algirdas. О локальных оценках близости арифметических распределений = On the local distance between arithmetical distributions = Apie lokalųjį atstumą tarp aritmetinių skirstinių // Lietuvos matematikos rinkinys. ISSN 0132-2818. 2005, t. 45, nr. 4, p. 603-610.
102Šiaulys, Jonas. The factorial moments method in probabilistic number theory // Second international conference of applied mathematics. Vol. 2 : August 12-18, 2005, Plodiv, Bulgaria. Plodiv. 2005, p. 252.
103Šiaulys, Jonas; Mačiulis, Algirdas. On the local distance between arithmetical distributions // Lithuanian mathematical journal. New York : Springer. ISSN 0363-1672. 2005, vol. 45, no. 4, p. 487-492. Prieiga per internetą: <https://link.springer.com/content/pdf/10.1007/s10986-006-0010-6.pdf> [žiūrėta 2010-02-22].
104Šiaulys, Jonas; Bortnik, Rita. The Gerber-Shiu discounted penalty function for Erlang distributed claims // Fizikos ir matematikos fakulteto mokslinio seminaro darbai. ISSN 1392-7086. 2005, Nr. 8, p. 126-142.
105Šiaulys, Jonas. Неравенство Халаса для аддитивной функции рационального аргумента = The Halasz inequality for additive function with rational argument = Halaso nelygybė racionalaus argumento adityviosioms funkcijoms // Lietuvos matematikos rinkinys. ISSN 0132-2818. 2004, T. 44, Nr. 2, p. 272-277.
106Šiaulys, Jonas. The distributions of sums of the prime indicators with respect to distinct frequencies = Pirminių skaičių indikatorių sumų skirstiniai skirtingų dažnių atžvilgiu // Lietuvos matematikos rinkinys. ISSN 0132-2818. 2004, t. 44, spec. nr, p. 115.
107Šiaulys, Jonas. О носителе распределений целозначных аддитивных функций = On the support of distributions of integer valued additive functions = Apie sveikareikšmių adityviųjų funkcijų skirstinių atramą // Lietuvos matematikos rinkinys. ISSN 0132-2818. 2004, T. 44, Nr. 2, p. 260-271.
108Šiaulys, Jonas. Распределение значений аддитивных функций по отношению к логарифмической частоте = Distribution of values of additive functions with respect to the logarithmic frequency = Adityviųjų funkcijų reikšmių pasiskirstymai logaritminio dažnio atžvilgiu // Lietuvos matematikos rinkinys. ISSN 0132-2818. 2004, T. 44, Nr. 4, p. 546-557.
109Šiaulys, Jonas. On limit distributions of integer valued additive functions // Fizikos ir matematikos fakulteto mokslinio seminaro darbai. ISSN 1392-7086. 2004, t. 7, p. 103-114.
110Šiaulys, Jonas; Stepanauskas, Gediminas. The local behaviour of some additive functions = Kai kurių aritmetinių funkcijų lokalusis elgesys // Lietuvos matematikos rinkinys. ISSN 0132-2818. 2003, t. 43, spec. nr, p. 84.
111Šiaulys, Jonas. Additive functions with asymptotically finite supports // Acta applicandae mathematicae. ISSN 0167-8019. 2003, vol. 79, p. 129-135.
112Šiaulys, Jonas. Moments inequality for additive functions with rational argument = Momentų nelygybė racionalaus argumento adityviosioms funkcijoms // Fizikos ir matematikos fakulteto mokslinio seminaro darbai. ISSN 1392-7086. 2003, t. 6, p. 131-141.
113Šiaulys, Jonas. The distributions of additive functions with finite supports = Adityviųjų funkcijų skirstiniai su baigtinėmis atramomis // Lietuvos matematikos rinkinys. ISSN 0132-2818. 2002, t. 42, spec. nr, p. 101.
114Šiaulys, Jonas. On the limit laws of distributions of sets of integer-valued additive functions // 8-oji tarptautinė Vilniaus tikimybių teorijos ir matematinės statistikos konferencija : tezių rinkinys. Vilnius : TEV, 2002. ISBN 9955491183. p. 297.
115Šiaulys, Jonas. The convergence to the poisson law in number theory = Konvergavimas į Puasono skirstinį skaičių teorijoje // Fizikos ir matematikos fakulteto mokslinio seminaro darbai. Šiauliai : Šiaulių univ. l-kla. ISSN 1392-7086. 2002, t. 5, p. 108-114.
116Lileikytė, Reda; Šiaulys, Jonas. Convergence of products of independent random variables to the log-Poisson law = Nepriklausomų atsitiktinių dydžių sandaugų konvergavimas į logpuasono dėsnį // Lietuvos matematikos rinkinys. ISSN 0132-2818. 2002, t. 42, spec. nr, p. 701.
117Šiaulys, Jonas. Логарифмическая частота значений аддитивных функций = Adityviųjų funkcijų skirstinių logaritminis dažnis // Lietuvos matematikos rinkinys. ISSN 0132-2818. 2002, t. 42, nr. 2, p. 257-264.
118Šiaulys, Jonas. On the separation of distributions of additive functions // Analytic and probabilistic methods in number theory : proceedings of the third international conference in honour of J. Kubilius, Palanga, Lithuania, 24-28 September 2001. Vilnius : TEV, 2002. ISBN 9955491302. p. 297-302.
119Šiaulys, Jonas. On the logarithmic frequence of the values of additive functions // Lietuvos matematikos rinkinys. ISSN 0132-2818. 2001, t. 41, spec. nr.
120Mačiulis, Algirdas; Šiaulys, Jonas. On the limits for distributions of additive functions // Lietuvos matematikos rinkinys. ISSN 0132-2818. 2000, t. 40, spec. nr.
121Šiaulys, Jonas. Факториальные моменты распределений аддитивных функций = Factorial moments for distributions of additive functions // Lietuvos matematikos rinkinys. ISSN 0132-2818. 2000, t. 40, nr. 4, p. 508-525.
122Šiaulys, Jonas. Теорема фон Мизеса для дробей Фарея = The von Mises theorem for Farey fractions // Lietuvos matematikos rinkinys. ISSN 0132-2818. 1999, t. 39(3), p. 425-439.
123Šiaulys, Jonas. On the distributions of additive functions // Lietuvos matematikos rinkinys. ISSN 0132-2818. 1999, t. 3, spec. priedas.
124Šiaulys, Jonas. Теорема Эрдеша-Винтера и расширения Пуассона // Lietuvos matematikų draugijos mokslo darbai : specialus "Lietuvos matematikos rinkinio" priedas. Vilnius : Technika, 1998. ISBN 9986053684. p. 80-86.
125Šiaulys, Jonas. Сходимость к закону Пуассона. III. Метод моментов // Lietuvos matematikos rinkinys. ISSN 0132-2818. 1998, t. 38, nr. 4, p. 374-390.