Edit Profile Čekanavičius, Vydas Compute Distance To: Compute Author ID: cekanavicius.vydas Published as: Cekanavicius, V.; Cekanavicius, Vydas; Cekanavičius, V.; Čekanavičius, V.; Čekanavičius, Vydas External Links: MGP · Wikidata Documents Indexed: 75 Publications since 1988, including 1 Book all top 5 Co-Authors 29 single-authored 10 Vellaisamy, Palaniappan 5 Petrauskienė, Jūratė 5 Roos, Bero 4 Elijio, Aistė 4 Vaitkus, Pranas 3 Mikalauskas, M. 3 Šiaulys, Jonas 3 Šliogere, Jūratė 2 Barbour, Andrew D. 2 Kruopis, Julius 2 Liaudanskaitė, Gabija 2 Upadhye, Neelesh S. 1 Kelmelytė, Jūratė 1 Peköz, Erol A. 1 Röllin, Adrian 1 Shwartz, Michael 1 Wang, Yue-hua 1 Xia, Aihua all top 5 Serials 26 Lithuanian Mathematical Journal 4 Statistics & Probability Letters 4 Bernoulli 3 Advances in Applied Probability 3 Theory of Probability and its Applications 3 Litovskiĭ Matematicheskiĭ Sbornik 3 Lietuvos Matematikos Rinkinys 3 Lietuvos Matematikos Rinkinys. Lietuvos Matematiku Draugijos Darbai 2 Annals of the Institute of Statistical Mathematics 2 Probability and Mathematical Statistics 2 Acta Applicandae Mathematicae 2 Journal of Theoretical Probability 2 Stochastic Processes and their Applications 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Modern Stochastics. Theory and Applications 1 The Annals of Probability 1 Journal of Applied Probability 1 Journal of the London Mathematical Society. Second Series 1 Journal of Multivariate Analysis 1 Statistics & Decisions 1 Probability Theory and Related Fields 1 Nonlinear Analysis. Modelling and Control 1 Universitext Fields 69 Probability theory and stochastic processes (60-XX) 21 Statistics (62-XX) 3 Number theory (11-XX) 1 Approximations and expansions (41-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 49 Publications have been cited 223 times in 96 Documents Cited by ▼ Year ▼ Total variation asymptotics for sums of independent integer random variables. Zbl 1018.60049Barbour, A. D.; Čekanavičius, V. 28 2002 Centered Poisson approximation via Stein’s method. Zbl 1044.62016Čekanavičius, V.; Vaitkus, P. 15 2001 Asymptotic expansions in the exponent: A compound Poisson approach. Zbl 0895.60029Čekanavičius, V. 13 1997 An expansion in the exponent for compound binomial approximations. Zbl 1136.62019Čekanavičius, V.; Roos, B. 11 2006 Approximation of distributions of integral additive functions by discrete charges. I. Zbl 0683.10041Šiaulys, J.; Čekanavičius, V. 10 1988 Signed Poisson approximations for Markov chains. Zbl 0997.60073Čekanavičius, V.; Mikalauskas, M. 9 1999 Approximation methods in probability theory. Zbl 1345.60005Čekanavičius, Vydas 7 2016 Compound Poisson and signed compound Poisson approximations to the Markov binomial law. Zbl 1213.60033Čekanavičius, V.; Vellaisamy, P. 7 2010 Binomial approximation to the Markov binomial distribution. Zbl 1118.60061Čekanavičius, V.; Roos, B. 6 2007 Two-parametric compound binomial approximations. Zbl 1075.62013Čekanavičius, V.; Roos, B. 6 2004 Estimates in total variation for convolutions of compound distributions. Zbl 0938.60037Čekanavičius, Vydas 6 1999 On asymptotic expansions in the first uniform Kolmogorov theorem. Zbl 0840.60022Čekanavičius, V. 6 1995 Approximation of distributions of integer-valued additive functions by discrete charges. II. Zbl 0697.10046Šiaulys, J.; Čekanavičius, V. 6 1989 On Stein’s method and perturbations. Zbl 1121.62016Barbour, A. D.; Čekanavičius, Vydas; Xia, Aihua 5 2007 Infinitely divisible approximations for discrete nonlattice variables. Zbl 1064.60054Čekanavičius, V. 5 2003 Signed Poisson approximation: A possible alternative to normal and Poisson laws. Zbl 0976.60035Čekanavičius, Vydas; Kruopis, Julius 5 2000 Poisson approximations for sequences of random variables. Zbl 0917.60025Čekanavičius, V. 5 1998 On Stein operators for discrete approximations. Zbl 1390.60094Upadhye, Neelesh S.; Čekanavičius, Vydas; Vellaisamy, P. 4 2017 Compound Poisson approximations for sums of 1-dependent random variables. I. Zbl 1223.60024Petrauskienė, J.; Čekanavičius, V. 4 2010 Compound binomial approximations. Zbl 1096.62014Čekanavičius, Vydas; Roos, Bero 4 2006 Compound Poisson approximations for sums of discrete nonlattice variables. Zbl 1038.60026Čekanavičius, V.; Wang, Y. H. 4 2003 Approximation of mixture of distributions. Zbl 0787.62018Čekanavičius, V. 4 1991 On negative binomial approximation. Zbl 1268.60017Vellaisamy, P.; Upadhye, N. S.; Čekanavičius, V. 3 2013 A three-parameter binomial approximation. Zbl 1187.60010Peköz, Erol A.; Röllin, Adrian; Čekanavičius, Vydas; Shwartz, Michael 3 2009 Poisson type approximations for the Markov binomial distribution. Zbl 1170.60026Čekanavičius, Vydas; Roos, Bero 3 2009 Local theorems for the Markov binomial distribution. Zbl 1018.60025Čekanavičius, V.; Mikalauskas, M. 3 2001 Approximation of the generalized Poisson binomial distribution: Asymptotic expansions. Zbl 0901.62025Čekanavičius, V. 3 1997 Large deviations for signed compound Poisson approximations. Zbl 0891.60034Čekanavičius, Vydas; Vaitkus, Pranas 3 1997 Approximation of symmetric three-state Markov chain by compound Poisson law. Zbl 1347.60102Šliogere, Jūrateė; Čekanavičius, Vydas 2 2016 Two limit theorems for Markov binomial distribution. Zbl 1326.60029Šliogere, Jūratė; Čekanavičius, Vydas 2 2015 Lower-bound estimates for Poisson-type approximations. Zbl 1129.60020Čekanavičius, V.; Elijio, A. 2 2005 On the convergence of Markov binomial to Poisson distribution. Zbl 1008.60046Čekanavičius, V. 2 2002 Large deviations for the Markov binomial distribution. Zbl 1033.60032Čekanavičius, V.; Mikalauskas, M. 2 2001 On compound Poisson approximations under moment restrictions. Zbl 0958.60010Cekanavicius, V. 2 1999 On a centered Poisson approximation. Zbl 0955.60027Vaitkus, P.; Čekanavičius, V. 2 1998 On signed normal-Poisson approximations. Zbl 0911.60011Čekanavičius, Vydas 2 1998 Asymptotic expansions for generalized Poisson measures. Zbl 0931.60012Cekanavičius, V. 2 1997 On multivariate Le Cam theorem and compound Poisson measures. Zbl 0865.60015Čekanavičius, V. 2 1996 On smoothing properties of compound Poisson distributions. Zbl 0868.60013Čekanavičius, V. 2 1995 Bergström-type asymptotic expansions in the first uniform Kolmogorov’s theorem. Zbl 0851.60017Čekanavičius, V. 2 1994 Non-uniform theorems for discrete measures. Zbl 0829.60028Čekanavičius, V. 2 1993 On the approximation by convolution of the generalized Poisson measure and the Gaussian distribution. I. Zbl 0796.60024Čekanavičius, V. 2 1992 Discrete approximations for sums of \(m\)-dependent random variables. Zbl 1331.60045Čekanavičius, V.; Vellaisamy, P. 1 2015 A compound Poisson convergence theorem for sums of \(m\)-dependent variables. Zbl 1329.60024Čekanavičius, V.; Vellaisamy, P. 1 2015 Compound Poisson approximation to weighted sums of symmetric discrete variables. Zbl 1331.60048Elijio, A.; Čekanavičius, V. 1 2015 Smoothing effect of compound Poisson approximations to the distributions of weighted sums. Zbl 1325.60015Čekanavičius, Vydas; Elijio, Aistė 1 2014 On local estimates and the Stein method. Zbl 1055.62017Čekanavičius, Vydas 1 2004 On multivariate compound distributions. Zbl 1037.60011Čekanavičius, V. 1 2002 Large deviations for integer centered Poisson approximation. Zbl 0962.60014Čekanavičius, V.; Vaitkus, P. 1 1999 On Stein operators for discrete approximations. Zbl 1390.60094Upadhye, Neelesh S.; Čekanavičius, Vydas; Vellaisamy, P. 4 2017 Approximation methods in probability theory. Zbl 1345.60005Čekanavičius, Vydas 7 2016 Approximation of symmetric three-state Markov chain by compound Poisson law. Zbl 1347.60102Šliogere, Jūrateė; Čekanavičius, Vydas 2 2016 Two limit theorems for Markov binomial distribution. Zbl 1326.60029Šliogere, Jūratė; Čekanavičius, Vydas 2 2015 Discrete approximations for sums of \(m\)-dependent random variables. Zbl 1331.60045Čekanavičius, V.; Vellaisamy, P. 1 2015 A compound Poisson convergence theorem for sums of \(m\)-dependent variables. Zbl 1329.60024Čekanavičius, V.; Vellaisamy, P. 1 2015 Compound Poisson approximation to weighted sums of symmetric discrete variables. Zbl 1331.60048Elijio, A.; Čekanavičius, V. 1 2015 Smoothing effect of compound Poisson approximations to the distributions of weighted sums. Zbl 1325.60015Čekanavičius, Vydas; Elijio, Aistė 1 2014 On negative binomial approximation. Zbl 1268.60017Vellaisamy, P.; Upadhye, N. S.; Čekanavičius, V. 3 2013 Compound Poisson and signed compound Poisson approximations to the Markov binomial law. Zbl 1213.60033Čekanavičius, V.; Vellaisamy, P. 7 2010 Compound Poisson approximations for sums of 1-dependent random variables. I. Zbl 1223.60024Petrauskienė, J.; Čekanavičius, V. 4 2010 A three-parameter binomial approximation. Zbl 1187.60010Peköz, Erol A.; Röllin, Adrian; Čekanavičius, Vydas; Shwartz, Michael 3 2009 Poisson type approximations for the Markov binomial distribution. Zbl 1170.60026Čekanavičius, Vydas; Roos, Bero 3 2009 Binomial approximation to the Markov binomial distribution. Zbl 1118.60061Čekanavičius, V.; Roos, B. 6 2007 On Stein’s method and perturbations. Zbl 1121.62016Barbour, A. D.; Čekanavičius, Vydas; Xia, Aihua 5 2007 An expansion in the exponent for compound binomial approximations. Zbl 1136.62019Čekanavičius, V.; Roos, B. 11 2006 Compound binomial approximations. Zbl 1096.62014Čekanavičius, Vydas; Roos, Bero 4 2006 Lower-bound estimates for Poisson-type approximations. Zbl 1129.60020Čekanavičius, V.; Elijio, A. 2 2005 Two-parametric compound binomial approximations. Zbl 1075.62013Čekanavičius, V.; Roos, B. 6 2004 On local estimates and the Stein method. Zbl 1055.62017Čekanavičius, Vydas 1 2004 Infinitely divisible approximations for discrete nonlattice variables. Zbl 1064.60054Čekanavičius, V. 5 2003 Compound Poisson approximations for sums of discrete nonlattice variables. Zbl 1038.60026Čekanavičius, V.; Wang, Y. H. 4 2003 Total variation asymptotics for sums of independent integer random variables. Zbl 1018.60049Barbour, A. D.; Čekanavičius, V. 28 2002 On the convergence of Markov binomial to Poisson distribution. Zbl 1008.60046Čekanavičius, V. 2 2002 On multivariate compound distributions. Zbl 1037.60011Čekanavičius, V. 1 2002 Centered Poisson approximation via Stein’s method. Zbl 1044.62016Čekanavičius, V.; Vaitkus, P. 15 2001 Local theorems for the Markov binomial distribution. Zbl 1018.60025Čekanavičius, V.; Mikalauskas, M. 3 2001 Large deviations for the Markov binomial distribution. Zbl 1033.60032Čekanavičius, V.; Mikalauskas, M. 2 2001 Signed Poisson approximation: A possible alternative to normal and Poisson laws. Zbl 0976.60035Čekanavičius, Vydas; Kruopis, Julius 5 2000 Signed Poisson approximations for Markov chains. Zbl 0997.60073Čekanavičius, V.; Mikalauskas, M. 9 1999 Estimates in total variation for convolutions of compound distributions. Zbl 0938.60037Čekanavičius, Vydas 6 1999 On compound Poisson approximations under moment restrictions. Zbl 0958.60010Cekanavicius, V. 2 1999 Large deviations for integer centered Poisson approximation. Zbl 0962.60014Čekanavičius, V.; Vaitkus, P. 1 1999 Poisson approximations for sequences of random variables. Zbl 0917.60025Čekanavičius, V. 5 1998 On a centered Poisson approximation. Zbl 0955.60027Vaitkus, P.; Čekanavičius, V. 2 1998 On signed normal-Poisson approximations. Zbl 0911.60011Čekanavičius, Vydas 2 1998 Asymptotic expansions in the exponent: A compound Poisson approach. Zbl 0895.60029Čekanavičius, V. 13 1997 Approximation of the generalized Poisson binomial distribution: Asymptotic expansions. Zbl 0901.62025Čekanavičius, V. 3 1997 Large deviations for signed compound Poisson approximations. Zbl 0891.60034Čekanavičius, Vydas; Vaitkus, Pranas 3 1997 Asymptotic expansions for generalized Poisson measures. Zbl 0931.60012Cekanavičius, V. 2 1997 On multivariate Le Cam theorem and compound Poisson measures. Zbl 0865.60015Čekanavičius, V. 2 1996 On asymptotic expansions in the first uniform Kolmogorov theorem. Zbl 0840.60022Čekanavičius, V. 6 1995 On smoothing properties of compound Poisson distributions. Zbl 0868.60013Čekanavičius, V. 2 1995 Bergström-type asymptotic expansions in the first uniform Kolmogorov’s theorem. Zbl 0851.60017Čekanavičius, V. 2 1994 Non-uniform theorems for discrete measures. Zbl 0829.60028Čekanavičius, V. 2 1993 On the approximation by convolution of the generalized Poisson measure and the Gaussian distribution. I. Zbl 0796.60024Čekanavičius, V. 2 1992 Approximation of mixture of distributions. Zbl 0787.62018Čekanavičius, V. 4 1991 Approximation of distributions of integer-valued additive functions by discrete charges. II. Zbl 0697.10046Šiaulys, J.; Čekanavičius, V. 6 1989 Approximation of distributions of integral additive functions by discrete charges. I. Zbl 0683.10041Šiaulys, J.; Čekanavičius, V. 10 1988 all cited Publications top 5 cited Publications all top 5 Cited by 79 Authors 39 Čekanavičius, Vydas 10 Roos, Bero 10 Xia, Aihua 7 Vellaisamy, Palaniappan 5 Barbour, Andrew D. 5 Röllin, Adrian 4 Zhang, Fuxi 3 Adell, José Antonio 3 Elijio, Aistė 3 Novak, Serguei Yu. 3 Petrauskienė, Jūratė 3 Zaitsev, Andrei Yu. 2 Daly, Fraser 2 Hung, Tran Loc 2 Peköz, Erol A. 2 Ross, Nathan 2 Šliogere, Jūratė 2 Upadhye, Neelesh S. 2 Vaitkus, Pranas 2 Zacharovas, Vytas 1 Aleškevičienė, Aldona 1 Anoz, José M. 1 Butler, Ken 1 Čiegis, Raimondas 1 Cong, Tianshu 1 Dekking, Frederik Michel 1 Eliseeva, Yulia S. 1 Ernst, Marie 1 Fromion, Vincent 1 Gan, Huiling 1 Giorno, Virginia 1 Goldstein, Larry 1 Götze, Friedrich W. 1 Handelman, David E. 1 Hwang, Hsien-Kuei 1 Jaioun, K. 1 Jensen, Jens Ledet 1 Jiao, Ying 1 Kanishauskas, V. 1 Kien, Phan Tri 1 Kishkis, K. Yu. 1 Kong, Derong 1 Kowalski, Emmanuel 1 Kruopis, Julius 1 Kumar, Amruth N. 1 Lefèvre, Claude 1 Lekuona, Alberto 1 Leoncini, Emanuele 1 Liaudanskaitė, Gabija 1 Lifshits, Mikhail A. 1 Lindvall, Torgny 1 Mattner, Lutz 1 Miao, Yu 1 Mikalauskas, M. 1 Nikeghbali, Ashkan 1 Nikitin, Yakov Yu. 1 Nobile, Amelia G. 1 Panichkitkosolkul, Wararit 1 Petrov, Valentin Vladimirovich 1 Pirozzi, Enrica 1 Raič, Martin 1 Reinert, Gesine D. 1 Robert, Philippe 1 Shevtsova, I. G. 1 Shwartz, Michael 1 Šiaulys, Jonas 1 Skipper, Max 1 Statulevičius, Vytautas 1 Stepanauskas, Gediminas 1 Stephens, Michael A. 1 Swan, Yvik C. 1 Teerapabolarn, Kanint 1 Utev, Sergey 1 Xu, Lihu 1 Yang, Guangyu 1 Zhang, Mei 1 Zhou, Quan 1 Zinger, Abram Aronovich 1 Zörnig, Peter all top 5 Cited in 33 Serials 25 Lithuanian Mathematical Journal 12 Bernoulli 6 Statistics & Probability Letters 6 Stochastic Processes and their Applications 4 Journal of Theoretical Probability 3 Theory of Probability and its Applications 3 The Annals of Probability 3 Journal of Applied Probability 3 Journal of Statistical Planning and Inference 2 Advances in Applied Probability 2 Annals of the Institute of Statistical Mathematics 2 Acta Applicandae Mathematicae 2 Probability Theory and Related Fields 2 The Annals of Applied Probability 2 Methodology and Computing in Applied Probability 2 Modern Stochastics. Theory and Applications 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Journal of Multivariate Analysis 1 Insurance Mathematics & Economics 1 Probability and Mathematical Statistics 1 Acta Mathematica Hungarica 1 Communications in Statistics. Theory and Methods 1 SIAM Journal on Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Vestnik St. Petersburg University. Mathematics 1 Journal of Mathematical Sciences (New York) 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Vietnam Journal of Mathematics 1 Extremes 1 Brazilian Journal of Probability and Statistics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Probability Surveys all top 5 Cited in 16 Fields 88 Probability theory and stochastic processes (60-XX) 32 Statistics (62-XX) 3 Number theory (11-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.