Edit Profile (opens in new tab) Šiaulys, Jonas Co-Author Distance Author ID: siaulys.jonas Published as: Šiaulys, Jonas; Šiaulys, J.; Siaulys, Jonas more...less External Links: MGP · ResearchGate · dblp Documents Indexed: 110 Publications since 1987 Reviewing Activity: 299 Reviews Co-Authors: 44 Co-Authors with 85 Joint Publications 240 Co-Co-Authors all top 5 Co-Authors 25 single-authored 27 Leipus, Remigijus 14 Stepanauskas, Gediminas 13 Yang, Yang 5 Danilenko, Svetlana 5 Sprindys, Jonas 4 Mačiulis, Algirdas 3 Bernackaitė, Emilija 3 Bieliauskienė, Eugenija 3 Čekanavičius, Vydas 3 Grigutis, Andrius 3 Kočetova, Jelena 3 Stakėnas, Vilius 2 Andrulytė, Ieva Marija 2 Baltrūnas, Aleksandras 2 Bareikis, Gintautas 2 Damarackas, Julius 2 Dirma, Mantas 2 Jaunė, Eglė 2 Kievinaitė, Dominyka 2 Konstantinides, Dimitrios G. 2 Navickienė, Olga 2 Ragulina, Olena 2 Wang, Kaiyong 1 Aleškevičienė, Aldona K. 1 Asanavičiūutė, R. 1 Blaževičius, K. 1 Bortnik, Rita 1 Cang, Yuquan 1 Dindienė, Lina 1 Ignatavičiūtė, Eglė 1 Jankauskas, Jonas 1 Karbonskis, Arvydas 1 Kizinevič, Edita 1 Korvel, Agneška 1 Manstavičius, Martynas 1 Markevičiūtė, Jurgita 1 Nakliuda, Neda 1 Paškauskaitė, Simona 1 Paukštys, Saulius 1 Vareikaitė, Ieva 1 Vasiliauskaitė, Laura 1 Wang, Yuebao 1 Zovė, Romualdas 1 Žvinytė, Laura all top 5 Serials 36 Lithuanian Mathematical Journal 11 Nonlinear Analysis. Modelling and Control 9 Statistics & Probability Letters 7 Modern Stochastics. Theory and Applications 5 Litovskiĭ Matematicheskiĭ Sbornik 4 Acta Applicandae Mathematicae 4 Fizikos ir Matematikos Fakulteto Mokslinio Seminaro Darbai 4 Šiauliai Mathematical Seminar 3 Journal of Mathematical Analysis and Applications 3 Lietuvos Matematikos Rinkinys 2 Applied Mathematics and Computation 1 Computers & Mathematics with Applications 1 Acta Arithmetica 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Monatshefte für Mathematik 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Insurance Mathematics & Economics 1 International Journal of Computer Mathematics 1 The Ramanujan Journal 1 Journal of Inequalities and Applications 1 Informatica (Vilnius) 1 Applied Stochastic Models in Business and Industry 1 Journal of the Australian Mathematical Society 1 Journal of Industrial and Management Optimization 1 Stochastics 1 Lietuvos Matematikos Rinkinys. Lietuvos Matematiku Draugijos Darbai all top 5 Fields 56 Probability theory and stochastic processes (60-XX) 50 Number theory (11-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Statistics (62-XX) 3 Integral transforms, operational calculus (44-XX) 1 Functions of a complex variable (30-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 80 Publications have been cited 437 times in 227 Documents Cited by ▼ Year ▼ A property of the renewal counting process with application to the finite-time ruin probability. Zbl 1185.60098 Kočetova, J.; Leipus, R.; Šiaulys, J. 32 2009 Asymptotic behaviour of the finite-time ruin probability under subexponential claim sizes. Zbl 1183.91073 Leipus, Remigijus; Šiaulys, Jonas 24 2007 Precise large deviation results for the total claim amount under subexponential claim sizes. Zbl 1145.60018 Baltrūnas, Aleksandras; Leipus, Remigijus; Šiaulys, Jonas 23 2008 Tail probability of randomly weighted sums of subexponential random variables under a dependence structure. Zbl 1334.62029 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 22 2012 Asymptotic behaviour of the finite-time ruin probability in renewal risk models. Zbl 1224.91070 Leipus, Remigijus; Šiaulys, Jonas 17 2009 Uniform estimates for the finite-time ruin probability in the dependent renewal risk model. Zbl 1229.91169 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas; Cang, Yuquan 16 2011 Finite-time ruin probability in the inhomogeneous claim case. Zbl 1203.91111 Blaževičius, K.; Bieliauskienė, E.; Šiaulys, J. 15 2010 Closure of some heavy-tailed distribution classes under random convolution. Zbl 1263.60012 Leipus, Remigijus; Šiaulys, Jonas 15 2012 Approximation of distributions of integral additive functions by discrete charges. I. Zbl 0683.10041 Šiaulys, J.; Čekanavičius, V. 13 1988 On the ruin probability in a dependent discrete time risk model with insurance and financial risks. Zbl 1237.91142 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 13 2012 Asymptotics for tail probability of total claim amount with negatively dependent claim sizes and its applications. Zbl 1180.91170 Yang, Y.; Wang, Y.; Leipus, R.; Šiaulys, J. 13 2009 Asymptotics for randomly weighted and stopped dependent sums. Zbl 1338.62065 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 12 2016 Randomly stopped sums of not identically distributed heavy tailed random variables. Zbl 1382.60027 Danilenko, Svetlana; Šiaulys, Jonas 11 2016 Bi-seasonal discrete time risk model. Zbl 1338.91076 Damarackas, Julius; Šiaulys, Jonas 10 2014 Factorial moments of distributions of additive functions. Zbl 0985.11035 Šiaulys, J. 9 2000 Precise large deviations for compound random sums in the presence of dependence structures. Zbl 1268.60036 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 9 2012 A Lundberg-type inequality for an inhomogeneous renewal risk model. Zbl 1414.91157 Andrulytė, Ieva Marija; Bernackaitė, Emilija; Kievinaitė, Dominyka; Šiaulys, Jonas 8 2015 Approximation of distributions of integer-valued additive functions by discrete charges. II. Zbl 0697.10046 Šiaulys, J.; Čekanavičius, V. 6 1989 Conditional tail expectation of randomly weighted sums with heavy-tailed distributions. Zbl 1328.60040 Yang, Yang; Ignatavičiūtė, Eglė; Šiaulys, Jonas 6 2015 Ruin probability in the three-seasonal discrete-time risk model. Zbl 1349.91137 Grigutis, Andrius; Korvel, Agneška; Šiaulys, Jonas 6 2015 On the random max-closure for heavy-tailed random variables. Zbl 1373.60031 Leipus, Remigijus; Šiaulys, Jonas 6 2017 Exponential bounds for the tail probability of the supremum of an inhomogeneous random walk. Zbl 1393.91100 Kievinaitė, Dominyka; Šiaulys, Jonas 6 2018 Randomly stopped sums with consistently varying distributions. Zbl 1349.60083 Kizinevič, Edita; Sprindys, Jonas; Šiaulys, Jonas 5 2016 Randomly stopped maximum and maximum of sums with consistently varying distributions. Zbl 1372.60064 Andrulytė, Ieva Marija; Manstavičius, Martynas; Šiaulys, Jonas 5 2017 Expectation of the truncated randomly weighted sums with dominatedly varying summands. Zbl 1412.62029 Jaunė, Eglė; Ragulina, Olena; Šiaulys, Jonas 5 2018 Local precise large deviations for sums of random variables with \(O\)-regularly varying densities. Zbl 1196.60043 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 5 2010 Gerber-Shiu function for the discrete inhomogeneous claim case. Zbl 1255.91176 Bieliauskienė, Eugenija; Šiaulys, Jonas 5 2012 Asymptotics of random sums of negatively dependent random variables in the presence of dominatedly varying tails. Zbl 1286.60089 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 5 2012 Convergence to the Poisson law. III: Method of moments. Zbl 1085.11502 Šiaulys, J. 4 1998 Precise large deviations for actual aggregate loss process in a dependent compound customer-arrival-based insurance risk model. Zbl 1337.60034 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 4 2013 Random convolution of inhomogeneous distributions with \(\mathcal {O} \)-exponential tail. Zbl 1349.60010 Danilenko, Svetlana; Paškauskaitė, Simona; Šiaulys, Jonas 4 2016 The finite-time ruin probability for an inhomogeneous renewal risk model. Zbl 1369.91078 Bernackaitė, Emilija; Šiaulys, Jonas 4 2017 Tails of higher-order moments with dominatedly varying summands. Zbl 1434.62027 Leipus, Remigijus; Šiaulys, Jonas; Vareikaitė, Ieva 4 2019 Tails of higher-order moments of sums with heavy-tailed increments and application to the Haezendonck-Goovaerts risk measure. Zbl 1460.91298 Leipus, Remigijus; Paukštys, Saulius; Šiaulys, Jonas 4 2021 Random convolution of \(\mathcal{O}\)-exponential distributions. Zbl 1420.60015 Danilenko, Svetlana; Šiaulys, Jonas 4 2015 Randomly stopped sums with exponential-type distributions. Zbl 1420.60054 Danilenko, Svetlana; Markevičiūtė, Jurgita; Šiaulys, Jonas 4 2017 Poisson distribution for a sum of additive functions. Zbl 1194.11084 Šiaulys, Jonas; Stepanauskas, Gediminas 3 2007 On the mean value of the product of multiplicative functions with shifted argument. Zbl 1121.11064 Šiaulys, Jonas; Stepanauskas, Gediminas 3 2007 On the Gerber-Shiu discounted penalty function for subexponential claims. Zbl 1131.60080 Šiaulys, J.; Asanavičiūutė, R. 3 2006 Finite-horizon ruin probability asymptotics in the compound discrete-time risk model. Zbl 1227.91022 Leipus, Remigijus; Šiaulys, Jonas 3 2011 Some limit laws for strongly additive prime indicators. Zbl 1163.11058 Šiaulys, Jonas; Stepanauskas, Gediminas 3 2008 The von Mises theorem in number theory. Zbl 0772.11026 Šiaulys, J. 3 1992 Poisson distribution for a sum of additive functions on shifted primes. Zbl 1135.11041 Šiaulys, Jonas; Stepanauskas, Gediminas 3 2007 The exponential moment tail of inhomogeneous renewal process. Zbl 1316.60133 Bernackaitė, Emilija; Šiaulys, Jonas 3 2015 Closure property and maximum of randomly weighted sums with heavy-tailed increments. Zbl 1288.62078 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 3 2014 Binomial limit law for additive prime indicators. Zbl 1282.11098 Šiaulys, Jonas; Stepanauskas, Gediminas 3 2011 A note on the max-sum equivalence of randomly weighted sums of heavy-tailed random variables. Zbl 1396.60062 Yang, Yang; Wang, Kaiyong; Leipus, Remigijus; Siaulys, Jonas 3 2013 Distribution of values of additive functions with rational arguments. Zbl 0652.10036 Stakenas, V.; Šiaulys, J. 2 1988 Integer valued additive arithmetic functions and Poisson distribution. Zbl 0658.10061 Šiaulys, J. 2 1988 Distribution of values of additive functions of a rational argument. Zbl 0667.10033 Stakėnas, V.; Šiaulys, J. 2 1988 Second order asymptotic behaviour of subordinated sequences with longtailed subordinator. Zbl 1119.60072 Baltrūnas, Aleksandras; Šiaulys, Jonas 2 2007 The Poisson law for additive functions on shifted primes. Zbl 1148.11037 Šiaulys, J.; Stepanauskas, G. 2 2007 On the support of distributions of integer-valued additive functions. Zbl 1059.11045 Šiaulys, J. 2 2004 Kubilius-type sequences of additive functions. Zbl 1106.11030 Šiaulys, J.; Stepanauskas, G. 2 2005 The Kubilius inequality for additive functions of a rational argument. Zbl 0709.11042 Šiaulys, J.; Stakėnas, V. 2 1990 The convergence to the Poisson law. I: Integer-valued additive functions. Zbl 0865.11056 Šiaulys, J. 2 1995 Tail behavior of sums and maxima of sums of dependent subexponential random variables. Zbl 1213.62085 Yang, Yang; Wang, Kaiyong; Leipus, Remigijus; Šiaulys, Jonas 2 2011 Asymptotic behavior of the Gerber-Shiu discounted penalty function in the Erlang(2) risk process with subexponential claims. Zbl 1272.91064 Kočetova, Jelena; Šiaulys, Jonas 2 2011 Discrete uniform limit law for additive prime number indicators. Zbl 1365.11112 Šiaulys, Jonas; Stepanauskas, Gediminas 2 2012 Closure properties of \(O\)-exponential distributions. Zbl 1391.60030 Danilenko, Svetlana; Šiaulys, Jonas; Stepanauskas, Gediminas 2 2018 On a closure property of convolution equivalent class of distributions. Zbl 1473.60035 Leipus, Remigijus; Šiaulys, Jonas 2 2020 A note on product-convolution for generalized subexponential distributions. Zbl 1501.60013 Konstantinides, Dimitrios; Leipus, Remigijus; Šiaulys, Jonas 2 2022 Closure property and tail probability asymptotics for randomly weighted sums of dependent random variables with heavy tails. Zbl 1401.60028 Dindienė, Lina; Leipus, Remigijus; Šiaulys, Jonas 2 2017 Randomly stopped minima and maxima with exponential-type distributions. Zbl 1466.60091 Ragulina, Olena; Šiaulys, Jonas 2 2019 The compactness of distributions of a sequence of additive functions. Zbl 0637.10039 Šiaulys, J. 1 1987 Second-order asymptotics of ruin probabilities for semiexponential claims. Zbl 1182.91088 Aleškevičienė, A.; Leipus, R.; Šiaulys, J. 1 2009 On limit distributions of integer valued additive functions. Zbl 1108.11056 Šiaulys, Jonas 1 2004 The Gerber-Shiu discounted penalty function for Erlang distributed claims. Zbl 1182.91087 Šiaulys, Jonas; Bortnik, Rita 1 2005 On the convergence to the Poisson law. Zbl 0933.11041 Šiaulys, J. 1 1997 On the limit laws of distributions of additive functions. Zbl 1192.11068 Šiaulys, Jonas; Mačiulis, Algirdas 1 2006 The convergence to the Poisson law. II: Unbounded strongly additive functions. Zbl 0886.11050 Šiaulys, J. 1 1996 On the local distance between arithmetical distributions. Zbl 1194.11083 Šiaulys, J.; Mačiulis, A. 1 2005 A note on the net profit condition for discrete and classical risk models. Zbl 1403.91193 Damarackas, Julius; Šiaulys, Jonas 1 2015 Infinite time ruin probability in inhomogeneous claims case. Zbl 1354.91057 Bieliauskienė, Eugenija; Šiaulys, Jonas 1 2010 The logarithmic frequency of values of additive functions. Zbl 1027.11057 Šiaulys, J. 1 2002 Poisson distribution for a sum of additive functions on arithmetic progressions. Zbl 1164.11036 Šiaulys, J.; Stepanauskas, G. 1 2008 Ruin probability for the bi-seasonal discrete time risk model with dependent claims. Zbl 1425.91231 Navickienė, Olga; Sprindys, Jonas; Šiaulys, Jonas 1 2018 Ruin probability for renewal risk models with neutral net profit condition. Zbl 07781217 Grigutis, Andrius; Karbonskis, Arvydas; Šiaulys, Jonas 1 2023 Regularly distributed randomly stopped sum, minimum, and maximum. Zbl 1459.60036 Sprindys, Jonas; Šiaulys, Jonas 1 2020 Asymptotic formulas for the left truncated moments of sums with consistently varying distributed increments. Zbl 1496.60043 Sprindys, Jonas; Šiaulys, Jonas 1 2021 Ruin probability for renewal risk models with neutral net profit condition. Zbl 07781217 Grigutis, Andrius; Karbonskis, Arvydas; Šiaulys, Jonas 1 2023 A note on product-convolution for generalized subexponential distributions. Zbl 1501.60013 Konstantinides, Dimitrios; Leipus, Remigijus; Šiaulys, Jonas 2 2022 Tails of higher-order moments of sums with heavy-tailed increments and application to the Haezendonck-Goovaerts risk measure. Zbl 1460.91298 Leipus, Remigijus; Paukštys, Saulius; Šiaulys, Jonas 4 2021 Asymptotic formulas for the left truncated moments of sums with consistently varying distributed increments. Zbl 1496.60043 Sprindys, Jonas; Šiaulys, Jonas 1 2021 On a closure property of convolution equivalent class of distributions. Zbl 1473.60035 Leipus, Remigijus; Šiaulys, Jonas 2 2020 Regularly distributed randomly stopped sum, minimum, and maximum. Zbl 1459.60036 Sprindys, Jonas; Šiaulys, Jonas 1 2020 Tails of higher-order moments with dominatedly varying summands. Zbl 1434.62027 Leipus, Remigijus; Šiaulys, Jonas; Vareikaitė, Ieva 4 2019 Randomly stopped minima and maxima with exponential-type distributions. Zbl 1466.60091 Ragulina, Olena; Šiaulys, Jonas 2 2019 Exponential bounds for the tail probability of the supremum of an inhomogeneous random walk. Zbl 1393.91100 Kievinaitė, Dominyka; Šiaulys, Jonas 6 2018 Expectation of the truncated randomly weighted sums with dominatedly varying summands. Zbl 1412.62029 Jaunė, Eglė; Ragulina, Olena; Šiaulys, Jonas 5 2018 Closure properties of \(O\)-exponential distributions. Zbl 1391.60030 Danilenko, Svetlana; Šiaulys, Jonas; Stepanauskas, Gediminas 2 2018 Ruin probability for the bi-seasonal discrete time risk model with dependent claims. Zbl 1425.91231 Navickienė, Olga; Sprindys, Jonas; Šiaulys, Jonas 1 2018 On the random max-closure for heavy-tailed random variables. Zbl 1373.60031 Leipus, Remigijus; Šiaulys, Jonas 6 2017 Randomly stopped maximum and maximum of sums with consistently varying distributions. Zbl 1372.60064 Andrulytė, Ieva Marija; Manstavičius, Martynas; Šiaulys, Jonas 5 2017 The finite-time ruin probability for an inhomogeneous renewal risk model. Zbl 1369.91078 Bernackaitė, Emilija; Šiaulys, Jonas 4 2017 Randomly stopped sums with exponential-type distributions. Zbl 1420.60054 Danilenko, Svetlana; Markevičiūtė, Jurgita; Šiaulys, Jonas 4 2017 Closure property and tail probability asymptotics for randomly weighted sums of dependent random variables with heavy tails. Zbl 1401.60028 Dindienė, Lina; Leipus, Remigijus; Šiaulys, Jonas 2 2017 Asymptotics for randomly weighted and stopped dependent sums. Zbl 1338.62065 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 12 2016 Randomly stopped sums of not identically distributed heavy tailed random variables. Zbl 1382.60027 Danilenko, Svetlana; Šiaulys, Jonas 11 2016 Randomly stopped sums with consistently varying distributions. Zbl 1349.60083 Kizinevič, Edita; Sprindys, Jonas; Šiaulys, Jonas 5 2016 Random convolution of inhomogeneous distributions with \(\mathcal {O} \)-exponential tail. Zbl 1349.60010 Danilenko, Svetlana; Paškauskaitė, Simona; Šiaulys, Jonas 4 2016 A Lundberg-type inequality for an inhomogeneous renewal risk model. Zbl 1414.91157 Andrulytė, Ieva Marija; Bernackaitė, Emilija; Kievinaitė, Dominyka; Šiaulys, Jonas 8 2015 Conditional tail expectation of randomly weighted sums with heavy-tailed distributions. Zbl 1328.60040 Yang, Yang; Ignatavičiūtė, Eglė; Šiaulys, Jonas 6 2015 Ruin probability in the three-seasonal discrete-time risk model. Zbl 1349.91137 Grigutis, Andrius; Korvel, Agneška; Šiaulys, Jonas 6 2015 Random convolution of \(\mathcal{O}\)-exponential distributions. Zbl 1420.60015 Danilenko, Svetlana; Šiaulys, Jonas 4 2015 The exponential moment tail of inhomogeneous renewal process. Zbl 1316.60133 Bernackaitė, Emilija; Šiaulys, Jonas 3 2015 A note on the net profit condition for discrete and classical risk models. Zbl 1403.91193 Damarackas, Julius; Šiaulys, Jonas 1 2015 Bi-seasonal discrete time risk model. Zbl 1338.91076 Damarackas, Julius; Šiaulys, Jonas 10 2014 Closure property and maximum of randomly weighted sums with heavy-tailed increments. Zbl 1288.62078 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 3 2014 Precise large deviations for actual aggregate loss process in a dependent compound customer-arrival-based insurance risk model. Zbl 1337.60034 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 4 2013 A note on the max-sum equivalence of randomly weighted sums of heavy-tailed random variables. Zbl 1396.60062 Yang, Yang; Wang, Kaiyong; Leipus, Remigijus; Siaulys, Jonas 3 2013 Tail probability of randomly weighted sums of subexponential random variables under a dependence structure. Zbl 1334.62029 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 22 2012 Closure of some heavy-tailed distribution classes under random convolution. Zbl 1263.60012 Leipus, Remigijus; Šiaulys, Jonas 15 2012 On the ruin probability in a dependent discrete time risk model with insurance and financial risks. Zbl 1237.91142 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 13 2012 Precise large deviations for compound random sums in the presence of dependence structures. Zbl 1268.60036 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 9 2012 Gerber-Shiu function for the discrete inhomogeneous claim case. Zbl 1255.91176 Bieliauskienė, Eugenija; Šiaulys, Jonas 5 2012 Asymptotics of random sums of negatively dependent random variables in the presence of dominatedly varying tails. Zbl 1286.60089 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 5 2012 Discrete uniform limit law for additive prime number indicators. Zbl 1365.11112 Šiaulys, Jonas; Stepanauskas, Gediminas 2 2012 Uniform estimates for the finite-time ruin probability in the dependent renewal risk model. Zbl 1229.91169 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas; Cang, Yuquan 16 2011 Finite-horizon ruin probability asymptotics in the compound discrete-time risk model. Zbl 1227.91022 Leipus, Remigijus; Šiaulys, Jonas 3 2011 Binomial limit law for additive prime indicators. Zbl 1282.11098 Šiaulys, Jonas; Stepanauskas, Gediminas 3 2011 Tail behavior of sums and maxima of sums of dependent subexponential random variables. Zbl 1213.62085 Yang, Yang; Wang, Kaiyong; Leipus, Remigijus; Šiaulys, Jonas 2 2011 Asymptotic behavior of the Gerber-Shiu discounted penalty function in the Erlang(2) risk process with subexponential claims. Zbl 1272.91064 Kočetova, Jelena; Šiaulys, Jonas 2 2011 Finite-time ruin probability in the inhomogeneous claim case. Zbl 1203.91111 Blaževičius, K.; Bieliauskienė, E.; Šiaulys, J. 15 2010 Local precise large deviations for sums of random variables with \(O\)-regularly varying densities. Zbl 1196.60043 Yang, Yang; Leipus, Remigijus; Šiaulys, Jonas 5 2010 Infinite time ruin probability in inhomogeneous claims case. Zbl 1354.91057 Bieliauskienė, Eugenija; Šiaulys, Jonas 1 2010 A property of the renewal counting process with application to the finite-time ruin probability. Zbl 1185.60098 Kočetova, J.; Leipus, R.; Šiaulys, J. 32 2009 Asymptotic behaviour of the finite-time ruin probability in renewal risk models. Zbl 1224.91070 Leipus, Remigijus; Šiaulys, Jonas 17 2009 Asymptotics for tail probability of total claim amount with negatively dependent claim sizes and its applications. Zbl 1180.91170 Yang, Y.; Wang, Y.; Leipus, R.; Šiaulys, J. 13 2009 Second-order asymptotics of ruin probabilities for semiexponential claims. Zbl 1182.91088 Aleškevičienė, A.; Leipus, R.; Šiaulys, J. 1 2009 Precise large deviation results for the total claim amount under subexponential claim sizes. Zbl 1145.60018 Baltrūnas, Aleksandras; Leipus, Remigijus; Šiaulys, Jonas 23 2008 Some limit laws for strongly additive prime indicators. Zbl 1163.11058 Šiaulys, Jonas; Stepanauskas, Gediminas 3 2008 Poisson distribution for a sum of additive functions on arithmetic progressions. Zbl 1164.11036 Šiaulys, J.; Stepanauskas, G. 1 2008 Asymptotic behaviour of the finite-time ruin probability under subexponential claim sizes. Zbl 1183.91073 Leipus, Remigijus; Šiaulys, Jonas 24 2007 Poisson distribution for a sum of additive functions. Zbl 1194.11084 Šiaulys, Jonas; Stepanauskas, Gediminas 3 2007 On the mean value of the product of multiplicative functions with shifted argument. Zbl 1121.11064 Šiaulys, Jonas; Stepanauskas, Gediminas 3 2007 Poisson distribution for a sum of additive functions on shifted primes. Zbl 1135.11041 Šiaulys, Jonas; Stepanauskas, Gediminas 3 2007 Second order asymptotic behaviour of subordinated sequences with longtailed subordinator. Zbl 1119.60072 Baltrūnas, Aleksandras; Šiaulys, Jonas 2 2007 The Poisson law for additive functions on shifted primes. Zbl 1148.11037 Šiaulys, J.; Stepanauskas, G. 2 2007 On the Gerber-Shiu discounted penalty function for subexponential claims. Zbl 1131.60080 Šiaulys, J.; Asanavičiūutė, R. 3 2006 On the limit laws of distributions of additive functions. Zbl 1192.11068 Šiaulys, Jonas; Mačiulis, Algirdas 1 2006 Kubilius-type sequences of additive functions. Zbl 1106.11030 Šiaulys, J.; Stepanauskas, G. 2 2005 The Gerber-Shiu discounted penalty function for Erlang distributed claims. Zbl 1182.91087 Šiaulys, Jonas; Bortnik, Rita 1 2005 On the local distance between arithmetical distributions. Zbl 1194.11083 Šiaulys, J.; Mačiulis, A. 1 2005 On the support of distributions of integer-valued additive functions. Zbl 1059.11045 Šiaulys, J. 2 2004 On limit distributions of integer valued additive functions. Zbl 1108.11056 Šiaulys, Jonas 1 2004 The logarithmic frequency of values of additive functions. Zbl 1027.11057 Šiaulys, J. 1 2002 Factorial moments of distributions of additive functions. Zbl 0985.11035 Šiaulys, J. 9 2000 Convergence to the Poisson law. III: Method of moments. Zbl 1085.11502 Šiaulys, J. 4 1998 On the convergence to the Poisson law. Zbl 0933.11041 Šiaulys, J. 1 1997 The convergence to the Poisson law. II: Unbounded strongly additive functions. Zbl 0886.11050 Šiaulys, J. 1 1996 The convergence to the Poisson law. I: Integer-valued additive functions. Zbl 0865.11056 Šiaulys, J. 2 1995 The von Mises theorem in number theory. Zbl 0772.11026 Šiaulys, J. 3 1992 The Kubilius inequality for additive functions of a rational argument. Zbl 0709.11042 Šiaulys, J.; Stakėnas, V. 2 1990 Approximation of distributions of integer-valued additive functions by discrete charges. II. Zbl 0697.10046 Šiaulys, J.; Čekanavičius, V. 6 1989 Approximation of distributions of integral additive functions by discrete charges. I. Zbl 0683.10041 Šiaulys, J.; Čekanavičius, V. 13 1988 Distribution of values of additive functions with rational arguments. Zbl 0652.10036 Stakenas, V.; Šiaulys, J. 2 1988 Integer valued additive arithmetic functions and Poisson distribution. Zbl 0658.10061 Šiaulys, J. 2 1988 Distribution of values of additive functions of a rational argument. Zbl 0667.10033 Stakėnas, V.; Šiaulys, J. 2 1988 The compactness of distributions of a sequence of additive functions. Zbl 0637.10039 Šiaulys, J. 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 209 Authors 58 Šiaulys, Jonas 30 Yang, Yang 20 Leipus, Remigijus 18 Čekanavičius, Vydas 11 Wang, Shijie 11 Wang, Yuebao 9 Gao, Qingwu 8 Stepanauskas, Gediminas 8 Wang, Kaiyong 7 Grigutis, Andrius 7 Yuen, Kam Chuen 6 Li, Jinzhu 6 Shen, Xinmei 5 Chen, Yiqing 5 Danilenko, Svetlana 5 Fu, Ke’ang 5 Geng, Bingzhen 5 Liu, Xijun 5 Sprindys, Jonas 4 Bi, Xiuchun 4 Cang, Yuquan 4 Cui, Zhaolei 4 Jiang, Tao 4 Lu, Dawei 4 Manstavičius, Eugenijus 4 Ragulina, Olena 4 Wang, Wensheng 4 Yu, Changjun 4 Zhang, Shuguang 3 Bazyari, Abouzar 3 Bernackaitė, Emilija 3 Cheng, Dongya 3 Cheng, Fengyang 3 Elijio, Aistė 3 Konstantinides, Dimitrios G. 3 Li, Rong 3 Lin, Jinguan 3 Liu, Jie 3 Mačiulis, Algirdas 3 Ng, Kai Wang 3 Răducan, Anişoara Maria 3 Stakėnas, Vilius 3 Vernic, Raluca 3 Wang, Xinzhi 3 Wang, Xuejun 3 Zbăganu, Gheorghe H. 3 Žvinytė, Laura 2 Aleškevičienė, Aldona K. 2 Andrulytė, Ieva Marija 2 Balasubramanian, Ramachandran 2 Damarackas, Julius 2 Dindienė, Lina 2 Dirma, Mantas 2 Eryılmaz, Serkan N. 2 Giri, Sumit 2 Golomoziy, Vitaliy 2 Guo, Junyi 2 Hashorva, Enkelejd 2 Jankauskas, Jonas 2 Jaunė, Eglė 2 Ji, Lanpeng 2 Kievinaitė, Dominyka 2 Lin, Jianxi 2 Liu, Junfeng 2 Navickienė, Olga 2 Roozegar, Rasool 2 Sakalauskaitė, Jūratė 2 Sakhanenko, Aleksandr Ivanovich 2 Shi, Xixi 2 Sun, Huimin 2 Vellaisamy, Palaniappan 2 Wu, Yi 2 Xu, Hui 2 Yuan, Meng 2 Zhang, Ting 2 Zheng, Juan 2 Zhou, Qianqian 1 Adekpedjou, Akim 1 Alencenovič, Alina 1 Bakshajeva, Tatjana 1 Bieliauskienė, Eugenija 1 Cadena, Meitner 1 Chai, Chunhong 1 Chen, Anyue 1 Chen, Jikun 1 Chen, Lamei 1 Chen, Mi 1 Chen, Shaoying 1 Chen, Wei 1 Chen, Yang 1 Chen, Yuxin 1 Chuarkham, Khanchit 1 Čiegis, Raimondas 1 Constantinescu, Corina D. 1 Das, Kumer Pial 1 Demirhan, Haydar 1 Du, Kailin 1 Eckert, Johanna 1 Fang, Xinian 1 Formica, Maria Rosaria ...and 109 more Authors all top 5 Cited in 65 Serials 52 Lithuanian Mathematical Journal 22 Statistics & Probability Letters 18 Communications in Statistics. Theory and Methods 12 Modern Stochastics. Theory and Applications 11 Nonlinear Analysis. Modelling and Control 10 Insurance Mathematics & Economics 9 Journal of Mathematical Analysis and Applications 6 Journal of Inequalities and Applications 5 Methodology and Computing in Applied Probability 3 Journal of Computational and Applied Mathematics 3 Applied Mathematics. Series B (English Edition) 3 Scandinavian Actuarial Journal 3 Journal of Industrial and Management Optimization 3 Stochastics 3 Frontiers of Mathematics in China 2 Applied Mathematics and Computation 2 Journal of Number Theory 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Japan Journal of Industrial and Applied Mathematics 2 The Ramanujan Journal 2 Abstract and Applied Analysis 2 Extremes 2 Applied Stochastic Models in Business and Industry 2 Journal of Systems Science and Complexity 2 Journal of the Korean Statistical Society 1 Advances in Applied Probability 1 Computers & Mathematics with Applications 1 Rocky Mountain Journal of Mathematics 1 Annals of the Institute of Statistical Mathematics 1 Journal of Applied Probability 1 Journal of the Korean Mathematical Society 1 Results in Mathematics 1 Probability and Mathematical Statistics 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Science in China. Series A 1 European Journal of Operational Research 1 Glasnik Matematički. Serija III 1 International Journal of Computer Mathematics 1 Stochastic Processes and their Applications 1 Combinatorics, Probability and Computing 1 Journal of Mathematical Sciences (New York) 1 Filomat 1 Complexity 1 Bernoulli 1 Informatica (Vilnius) 1 Probability in the Engineering and Informational Sciences 1 International Game Theory Review 1 Journal of the Australian Mathematical Society 1 Journal of Applied Mathematics 1 Stochastic Models 1 ASTIN Bulletin 1 Applications and Applied Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Journal of Mathematical Inequalities 1 Acta Mathematica Universitatis Ostraviensis 1 Journal of Statistical Theory and Practice 1 Advances in Differential Equations and Control Processes 1 Probability Surveys 1 Advances in Decision Sciences 1 Sankhyā. Series A 1 Statistics & Risk Modeling 1 Journal of Mathematical Research with Applications 1 Probability, Uncertainty and Quantitative Risk all top 5 Cited in 18 Fields 165 Probability theory and stochastic processes (60-XX) 103 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 96 Statistics (62-XX) 23 Number theory (11-XX) 4 Integral transforms, operational calculus (44-XX) 3 Combinatorics (05-XX) 3 Operations research, mathematical programming (90-XX) 2 Mathematical logic and foundations (03-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year