EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: PS, 3 (1999) 131-150 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Approximation Methods in Probability Theory

Vydas Čekanavičius
Universitext, Approximation Methods in Probability Theory 69 (2016)
DOI: 10.1007/978-3-319-34072-2_4
See this article

A Charlier–Parseval approach to poisson approximation and its applications

V. Zacharovas and H.-K. Hwang
Lithuanian Mathematical Journal 50 (1) 88 (2010)
DOI: 10.1007/s10986-010-9073-5
See this article

On Negative Binomial Approximation to k-Runs

Xiaoxin Wang and Aihua Xia
Journal of Applied Probability 45 (02) 456 (2008)
DOI: 10.1017/S0021900200004356
See this article

Approximation Methods in Probability Theory

Vydas Čekanavičius
Universitext, Approximation Methods in Probability Theory 21 (2016)
DOI: 10.1007/978-3-319-34072-2_2
See this article

A Three-Parameter Binomial Approximation

Erol A. Peköz, Adrian Röllin, Vydas Čekanavičius and Michael Shwartz
Journal of Applied Probability 46 (04) 1073 (2009)
DOI: 10.1017/S0021900200006148
See this article

Approximation Methods in Probability Theory

Vydas Čekanavičius
Universitext, Approximation Methods in Probability Theory 207 (2016)
DOI: 10.1007/978-3-319-34072-2_13
See this article

Smoothing effect of compound Poisson approximations to the distributions of weighted sums

Vydas Čekanavičius and Aistė Elijio
Lithuanian Mathematical Journal 54 (1) 35 (2014)
DOI: 10.1007/s10986-014-9225-0
See this article

On Negative Binomial Approximation

P. Vellaisamy, N. S. Upadhye and V. Čekanavičius
Theory of Probability & Its Applications 57 (1) 97 (2013)
DOI: 10.1137/S0040585X97985819
See this article

Approximation Methods in Probability Theory

Vydas Čekanavičius
Universitext, Approximation Methods in Probability Theory 51 (2016)
DOI: 10.1007/978-3-319-34072-2_3
See this article

Extreme Value Methods with Applications to Finance

C&H/CRC Monographs on Statistics & Applied Probability, Extreme Value Methods with Applications to Finance 20114852 351 (2011)
DOI: 10.1201/b11537-18
See this article

On the asymptotics of locally dependent point processes

Aihua Xia and Fuxi Zhang
Stochastic Processes and their Applications 122 (9) 3033 (2012)
DOI: 10.1016/j.spa.2012.05.011
See this article

Сложное распределение Пуассона для числа повторений значений дискретной функции от цепочек

Aleksandr Mikhailovich Shoitov and Александр Михайлович Шойтов
Дискретная математика 19 (2) 6 (2007)
DOI: 10.4213/dm16
See this article

Approximation Methods in Probability Theory

Vydas Čekanavičius
Universitext, Approximation Methods in Probability Theory 153 (2016)
DOI: 10.1007/978-3-319-34072-2_11
See this article

Translated Poisson Approximation for Markov Chains

A. D. Barbour and Torgny Lindvall
Journal of Theoretical Probability 19 (3) 609 (2006)
DOI: 10.1007/s10959-006-0047-9
See this article

Approximation for counts of head runs

Mei Zhang
Science China Mathematics 54 (2) 311 (2011)
DOI: 10.1007/s11425-010-4104-6
See this article

Approximation Methods in Probability Theory

Vydas Čekanavičius
Universitext, Approximation Methods in Probability Theory 1 (2016)
DOI: 10.1007/978-3-319-34072-2_1
See this article

Approximation Methods in Probability Theory

Vydas Čekanavičius
Universitext, Approximation Methods in Probability Theory 77 (2016)
DOI: 10.1007/978-3-319-34072-2_5
See this article

On Stein's method, smoothing estimates in total variation distance and mixture distributions

Fraser Daly
Journal of Statistical Planning and Inference 141 (7) 2228 (2011)
DOI: 10.1016/j.jspi.2011.01.004
See this article

Stein's Method and Stochastic Orderings

Fraser Daly, Claude Lefèvre and Sergey Utev
Advances in Applied Probability 44 (02) 343 (2012)
DOI: 10.1017/S0001867800005632
See this article

Probability and Statistical Models with Applications

A Barbour, O Chryssaphinou and E Vaggelatou
Probability and Statistical Models with Applications (2000)
DOI: 10.1201/9781420036084.ch3
See this article

Infinitely divisible approximations for discrete nonlattice variables

V. Čekanavičius
Advances in Applied Probability 35 (04) 982 (2003)
DOI: 10.1017/S0001867800012702
See this article

On exceedances of high levels

S.Y. Novak and A. Xia
Stochastic Processes and their Applications 122 (2) 582 (2012)
DOI: 10.1016/j.spa.2011.09.003
See this article

A Three-Parameter Binomial Approximation

Erol A. Peköz, Adrian Röllin, Vydas Čekanavičius and Michael Shwartz
Journal of Applied Probability 46 (4) 1073 (2009)
DOI: 10.1239/jap/1261670689
See this article

On Negative Binomial Approximation to k-Runs

Xiaoxin Wang and Aihua Xia
Journal of Applied Probability 45 (02) 456 (2008)
DOI: 10.1239/jap/1214950360
See this article

Refined distributional approximations for the uncovered set in the Johnson–Mehl model

Torkel Erhardsson
Stochastic Processes and their Applications 96 (2) 243 (2001)
DOI: 10.1016/S0304-4149(01)00114-4
See this article

Compound Poisson approximation for long increasing sequences

Ourania Chryssaphinou and Eutichia Vaggelatou
Journal of Applied Probability 38 (02) 449 (2001)
DOI: 10.1017/S0021900200019963
See this article

Stein's Method and Stochastic Orderings

Fraser Daly, Claude Lefèvre and Sergey Utev
Advances in Applied Probability 44 (2) 343 (2012)
DOI: 10.1239/aap/1339878715
See this article

Contemporary Developments in Statistical Theory

P. Vellaisamy and V. Čekanavičius
Springer Proceedings in Mathematics & Statistics, Contemporary Developments in Statistical Theory 68 375 (2014)
DOI: 10.1007/978-3-319-02651-0_24
See this article

The compound Poisson distribution of the number of matches of values of a discrete function of s-tuples in segments of a sequence of random variables

A. M. Shoitov
Discrete Mathematics and Applications 17 (3) 209 (2007)
DOI: 10.1515/dma.2007.017
See this article

Stein’s method for conditional compound Poisson approximation

H.L. Gan and A. Xia
Statistics & Probability Letters 100 19 (2015)
DOI: 10.1016/j.spl.2015.01.033
See this article

An expansion in the exponent for compound binomial approximations

V. Čekanavičius and B. Roos
Lithuanian Mathematical Journal 46 (1) 54 (2006)
DOI: 10.1007/s10986-006-0013-3
See this article

Note on nonuniform estimate for compound poisson approximations to 2-runs

Vydas Čekanavičius and Jūratė Petrauskienė
Lithuanian Mathematical Journal 51 (2) 162 (2011)
DOI: 10.1007/s10986-011-9116-6
See this article

On negative binomial approximation

P Vellaisamy, P Vellaisamy, N S Upadhye, et al.
Теория вероятностей и ее применения 57 (1) 141 (2012)
DOI: 10.4213/tvp4435
See this article

A polynomial birth–death point process approximation to the Bernoulli process

Aihua Xia and Fuxi Zhang
Stochastic Processes and their Applications 118 (7) 1254 (2008)
DOI: 10.1016/j.spa.2007.08.002
See this article

On perturbations of Stein operator

A. N. Kumar and N. S. Upadhye
Communications in Statistics - Theory and Methods 46 (18) 9284 (2017)
DOI: 10.1080/03610926.2016.1206937
See this article

Approximating by convolution of the normal and compound Poisson laws via Stein’s method

Vydas Čekanavičius and Palaniappan Vellaisamy
Lithuanian Mathematical Journal 58 (2) 127 (2018)
DOI: 10.1007/s10986-018-9392-5
See this article

On moderate deviations in Poisson approximation

Qingwei Liu and Aihua Xia
Journal of Applied Probability 57 (3) 1005 (2020)
DOI: 10.1017/jpr.2020.47
See this article

On closeness of two discrete weighted sums

Vydas Čekanavičius and Palaniappan Vellaisamy
Modern Stochastics: Theory and Applications 5 (2) 1 (2018)
DOI: 10.15559/18-VMSTA103
See this article

LOUIS HSIAO-YUN CHEN: EPITOME OF RARE EVENTS

LEONG YU KIANG, LEE SENG LUAN and SUN YENENG
COSMOS 01 (01) 1 (2005)
DOI: 10.1142/S0219607705000127
See this article

Kerstan's Method in the Multivariate Poisson Approximation: An Expansion in the Exponent

B. Roos
Theory of Probability & Its Applications 47 (2) 358 (2003)
DOI: 10.1137/TPRBAU000047000002000358000001
See this article

Pseudorandom Generators for Combinatorial Shapes

Parikshit Gopalan, Raghu Meka, Omer Reingold and David Zuckerman
SIAM Journal on Computing 42 (3) 1051 (2013)
DOI: 10.1137/110854990
See this article

On the accuracy of Poisson approximation

S. Y. Novak
Extremes 22 (4) 729 (2019)
DOI: 10.1007/s10687-019-00350-6
See this article

Stein's Method and Birth-Death Processes

Timothy C. Brown and Aihua Xia
The Annals of Probability 29 (3) (2001)
DOI: 10.1214/aop/1015345606
See this article

Total variation asymptotics for sums of independent integer random variables

A. D. Barbour and V. Ćekanavićius
The Annals of Probability 30 (2) (2002)
DOI: 10.1214/aop/1023481001
See this article

Kerstan's method for compound Poisson approximation

Bero Roos
The Annals of Probability 31 (4) (2003)
DOI: 10.1214/aop/1068646365
See this article

An extension of Mineka's coupling inequality

Anna Posfai
Electronic Communications in Probability 14 (none) (2009)
DOI: 10.1214/ECP.v14-1501
See this article

Approximating dependent rare events

Louis H. Y. Chen and Adrian Röllin
Bernoulli 19 (4) (2013)
DOI: 10.3150/12-BEJSP18
See this article

Discretized normal approximation by Stein’s method

Xiao Fang
Bernoulli 20 (3) (2014)
DOI: 10.3150/13-BEJ527
See this article

On magic factors in Stein’s method for compound Poisson approximation

Fraser Daly
Electronic Communications in Probability 22 (none) (2017)
DOI: 10.1214/17-ECP101
See this article

Compound Poisson approximations for sums of 1-dependent random variables. I

J. Petrauskienė and V. Čekanavičius
Lithuanian Mathematical Journal 50 (3) 323 (2010)
DOI: 10.1007/s10986-010-9089-x
See this article

A non-uniform bound for translated Poisson approximation

Andrew Barbour and Kwok Choi
Electronic Journal of Probability 9 (none) (2004)
DOI: 10.1214/EJP.v9-182
See this article

Infinitely divisible approximations for discrete nonlattice variables

V. Čekanavičius
Advances in Applied Probability 35 (4) 982 (2003)
DOI: 10.1239/aap/1067436331
See this article

Compound Poisson approximation for long increasing sequences

Ourania Chryssaphinou and Eutichia Vaggelatou
Journal of Applied Probability 38 (2) 449 (2001)
DOI: 10.1239/jap/996986755
See this article

When is the Conway–Maxwell–Poisson distribution infinitely divisible?

Xi Geng and Aihua Xia
Statistics & Probability Letters 181 109264 (2022)
DOI: 10.1016/j.spl.2021.109264
See this article

A large sample property in approximating the superposition of i.i.d. finite point processes

Tianshu Cong, Aihua Xia and Fuxi Zhang
Stochastic Processes and their Applications 130 (7) 4493 (2020)
DOI: 10.1016/j.spa.2020.01.006
See this article

Approximation of sums of conditionally independent variables by the translated Poisson distribution

Adrian Röllin
Bernoulli 11 (6) (2005)
DOI: 10.3150/bj/1137421642
See this article

Translated Poisson approximation using exchangeable pair couplings

Adrian Röllin
The Annals of Applied Probability 17 (5-6) (2007)
DOI: 10.1214/105051607000000258
See this article

Symmetric and centered binomial approximation of sums of locally dependent random variables

Adrian Roellin
Electronic Journal of Probability 13 (none) (2008)
DOI: 10.1214/EJP.v13-503
See this article

Poisson approximation

S. Y. Novak
Probability Surveys 16 (none) (2019)
DOI: 10.1214/18-PS318
See this article

Compound Poisson approximation: a user's guide

A. D. Barbour and O. Chryssaphinou
The Annals of Applied Probability 11 (3) (2001)
DOI: 10.1214/aoap/1015345355
See this article

On Hipp's compound Poisson approximations via concentration functions

Bero Roos
Bernoulli 11 (3) (2005)
DOI: 10.3150/bj/1120591188
See this article

On approximation of Markov binomial distributions

Aihua Xia and Mei Zhang
Bernoulli 15 (4) (2009)
DOI: 10.3150/09-BEJ194
See this article

Local limit theorems via Landau–Kolmogorov inequalities

Adrian Röllin and Nathan Ross
Bernoulli 21 (2) (2015)
DOI: 10.3150/13-BEJ590
See this article

On Stein operators for discrete approximations

Neelesh S. Upadhye, Vydas Čekanavičius and P. Vellaisamy
Bernoulli 23 (4A) (2017)
DOI: 10.3150/16-BEJ829
See this article

Error bounds in local limit theorems using Stein’s method

A.D. Barbour, Adrian Röllin and Nathan Ross
Bernoulli 25 (2) (2019)
DOI: 10.3150/17-BEJ1013
See this article

Compound Poisson approximation with association or negative association via Stein's method

Fraser Daly
Electronic Communications in Probability 18 (none) (2013)
DOI: 10.1214/ECP.v18-2751
See this article

The number of components in a logarithmic combinatorial structure

Richard Arratia, A. D. Barbour and Simon Tavaré
The Annals of Applied Probability 10 (2) (2000)
DOI: 10.1214/aoap/1019487347
See this article

Strong memoryless times and rare events in Markov renewal point processes

Torkel Erhardsson
The Annals of Probability 32 (3B) (2004)
DOI: 10.1214/009117904000000054
See this article

Zero biasing and a discrete central limit theorem

Larry Goldstein and Aihua Xia
The Annals of Probability 34 (5) (2006)
DOI: 10.1214/009117906000000250
See this article

Multivariate approximation in total variation, I: Equilibrium distributions of Markov jump processes

A. D. Barbour, M. J. Luczak and A. Xia
The Annals of Probability 46 (3) (2018)
DOI: 10.1214/17-AOP1204
See this article

Approximations to Weighted Sums of Random Variables

Amit N. Kumar
Bulletin of the Malaysian Mathematical Sciences Society 44 (4) 2447 (2021)
DOI: 10.1007/s40840-021-01077-z
See this article

Constantinos Daskalakis, Ilias Diakonikolas, Ryan ODonnell, Rocco A. Servedio and Li-Yang Tan
217 (2013)
DOI: 10.1109/FOCS.2013.31
See this article

Anindya De, Philip M. Long and Rocco A. Servedio
297 (2018)
DOI: 10.1109/FOCS.2018.00036
See this article

Compound Poisson approximation

V. Čekanavičius and S. Y. Novak
Probability Surveys 19 (none) (2022)
DOI: 10.1214/22-PS8
See this article

Approximations related to the sums of m-dependent random variables

Amit N. Kumar, Neelesh S. Upadhye and P. Vellaisamy
Brazilian Journal of Probability and Statistics 36 (2) (2022)
DOI: 10.1214/21-BJPS529
See this article

A shorter proof of Kanter’s Bessel function concentration bound

Lutz Mattner and Bero Roos
Probability Theory and Related Fields 139 (1-2) 191 (2007)
DOI: 10.1007/s00440-006-0043-0
See this article

Compound Poisson Approximations to Sums of Extrema of Bernoulli Variables

Gabija Liaudanskaite and Vydas Čekanavičius
Lithuanian Mathematical Journal 62 (4) 481 (2022)
DOI: 10.1007/s10986-022-09571-y
See this article

Stein’s Method Meets Computational Statistics: A Review of Some Recent Developments

Andreas Anastasiou, Alessandro Barp, François-Xavier Briol, Bruno Ebner, Robert E. Gaunt, Fatemeh Ghaderinezhad, Jackson Gorham, Arthur Gretton, Christophe Ley, Qiang Liu, Lester Mackey, Chris J. Oates, Gesine Reinert and Yvik Swan
Statistical Science 38 (1) (2023)
DOI: 10.1214/22-STS863
See this article