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1

Uniform estimates for the finite-time ruin probability in the dependent renewal risk model

Yang Yang, Remigijus Leipus, Jonas Šiaulys, Yuquan Cang

Journal:

Journal of Mathematical Analysis and Applications

Year:

2011

Language:

english

File:

PDF, 187 KB

english, 2011

2

On the ruin probability in a dependent discrete time risk model with insurance and financial risks

Yang Yang, Remigijus Leipus, Jonas Šiaulys

Journal:

Journal of Computational and Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 242 KB

english, 2012

3

Poisson Distribution for a Sum of Additive Functions

Jonas Šiaulys, Gediminas Stepanauskas

Journal:

Acta Applicandae Mathematicae

Year:

2007

Language:

english

File:

PDF, 281 KB

english, 2007

4

Tail Behavior of Sums and Maxima of Sums of Dependent Subexponential Random Variables

Yang Yang, Kaiyong Wang, Remigijus Leipus, Jonas Šiaulys

Journal:

Acta Applicandae Mathematicae

Year:

2011

Language:

english

File:

PDF, 488 KB

english, 2011

5

Tail behavior of random sums under consistent variation with applications to the compound renewal risk model

Aldona Aleškevičienė, Remigijus Leipus, Jonas Šiaulys

Journal:

Year:

2008

Language:

english

File:

PDF, 399 KB

english, 2008

6

On the limit laws of distributions of additive functions

Jonas Šiaulys, Algirdas Mačiulis

Journal:

The Ramanujan Journal

Year:

2006

Language:

english

File:

PDF, 367 KB

english, 2006

7

-exponential distributions

Danilenko, Svetlana, Šiaulys, Jonas, Stepanauskas, Gediminas

Journal:

Statistics & Probability Letters

Year:

2018

Language:

english

File:

PDF, 843 KB

english, 2018

8

Asymptotic behaviour of the finite-time ruin probability in renewal risk models

Remigijus Leipus, Jonas Šiaulys

Journal:

Applied Stochastic Models in Business and Industry

Year:

2009

Language:

english

File:

PDF, 125 KB

english, 2009

9

Second order asymptotic behaviour of subordinated sequences with longtailed subordinator

Aleksandras Baltrūnas, Jonas Šiaulys

Journal:

Journal of Mathematical Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 128 KB

english, 2007

10

Precise large deviation results for the total claim amount under subexponential claim sizes

Aleksandras Baltrūnas, Remigijus Leipus, Jonas Šiaulys

Journal:

Statistics & Probability Letters

Year:

2008

Language:

english

File:

PDF, 284 KB

english, 2008

11

Local precise large deviations for sums of random variables with -regularly varying densities

Yang Yang, Remigijus Leipus, Jonas Šiaulys

Journal:

Statistics & Probability Letters

Year:

2010

Language:

english

File:

PDF, 310 KB

english, 2010

12

On the Mean Value of the Product of Multiplicative Functions with Shifted Argument

Jonas Šiaulys, Gediminas Stepanauskas

Journal:

Monatshefte für Mathematik

Year:

2007

Language:

english

File:

PDF, 94 KB

english, 2007

13

Finite-horizon ruin probability asymptotics in the compound discrete-time risk model

Remigijus Leipus, Jonas Šiaulys

Journal:

Lithuanian Mathematical Journal

Year:

2011

Language:

english

File:

PDF, 181 KB

english, 2011

14

Binomial limit law for additive prime indicators

Jonas Šiaulys, Gediminas Stepanauskas

Journal:

Lithuanian Mathematical Journal

Year:

2011

Language:

english

File:

PDF, 144 KB

english, 2011

15

Asymptotic behaviour of the finite-time ruin probability under subexponential claim sizes

Remigijus Leipus, Jonas Šiaulys

Journal:

Insurance: Mathematics and Economics

Year:

2007

Language:

english

File:

PDF, 271 KB

english, 2007

16

Asymptotics of random sums of negatively dependent random variables in the presence of dominatedly varying tails

Yang, Yang, Leipus, Remigijus, Šiaulys, Jonas

Journal:

Lithuanian Mathematical Journal

Year:

2012

Language:

english

File:

PDF, 156 KB

english, 2012

17

Precise large deviations for compound random sums in the presence of dependence structures

Yang Yang, Remigijus Leipus, Jonas Šiaulys

Journal:

Computers & Mathematics with Applications

Year:

2012

Language:

english

File:

PDF, 258 KB

english, 2012

18

Tail probability of randomly weighted sums of subexponential random variables under a dependence structure

Yang Yang, Remigijus Leipus, Jonas Šiaulys

Journal:

Statistics & Probability Letters

Year:

2012

Language:

english

File:

PDF, 238 KB

english, 2012

19

Closure property and maximum of randomly weighted sums with heavy-tailed increments

Yang, Yang, Leipus, Remigijus, Šiaulys, Jonas

Journal:

Statistics & Probability Letters

Year:

2014

Language:

english

File:

PDF, 385 KB

english, 2014

20

Bi-seasonal discrete time risk model

Damarackas, Julius, Šiaulys, Jonas

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 359 KB

english, 2014

21

The exponential moment tail of inhomogeneous renewal process

Bernackaitė, Emilija, Šiaulys, Jonas

Journal:

Statistics & Probability Letters

Year:

2015

Language:

english

File:

PDF, 367 KB

english, 2015

22

Gerber–Shiu function for the discrete inhomogeneous claim case

Bieliauskienė, Eugenija, Šiaulys, Jonas

Journal:

International Journal of Computer Mathematics

Year:

2012

Language:

english

File:

PDF, 402 KB

english, 2012

23

Conditional tail expectation of randomly weighted sums with heavy-tailed distributions

Yang, Yang, Ignatavičiūtė, Eglė, Šiaulys, Jonas

Journal:

Statistics & Probability Letters

Year:

2015

Language:

english

File:

PDF, 406 KB

english, 2015

24

Asymptotics for randomly weighted and stopped dependent sums

Yang, Yang, Leipus, Remigijus, Šiaulys, Jonas

Journal:

Stochastics An International Journal of Probability and Stochastic Processes

Year:

2015

Language:

english

File:

PDF, 499 KB

english, 2015

25

Randomly stopped sums of not identically distributed heavy tailed random variables

Danilenko, Svetlana, Šiaulys, Jonas

Journal:

Statistics & Probability Letters

Year:

2016

Language:

english

File:

PDF, 387 KB

english, 2016

26

A note on the net profit condition for discrete and classical risk models

Damarackas, Julius, Šiaulys, Jonas

Journal:

Lithuanian Mathematical Journal

Year:

2015

Language:

english

File:

PDF, 191 KB

english, 2015

27

Discrete Uniform Limit Law for a Sum of Additive Functions on Shifted Primes

Šiaulys, Jonas, Stepanauskas, Gediminas, Žvinytė, Laura

Journal:

Lithuanian Mathematical Journal

Year:

2018

Language:

english

File:

PDF, 259 KB

english, 2018

28

Expectation of the truncated randomly weighted sums with dominatedly varying summands

Jaunė, Eglė, Ragulina, Olena, Šiaulys, Jonas

Journal:

Lithuanian Mathematical Journal

Year:

2018

File:

PDF, 320 KB

2018

29

Tails of higher-order moments with dominatedly varying summands∗

Leipus, Remigijus, Šiaulys, Jonas, IevaVareikaitė,

Journal:

Lithuanian Mathematical Journal

Year:

2019

Language:

english

File:

PDF, 393 KB

english, 2019

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