Zobrazeno 1 - 10
of 150
pro vyhledávání: '"Čekanavičius, V."'
Autor:
Čekanavičius, V., Vellaisamy, P.
The distribution of the sum of 1-dependent lattice vectors with supports on coordinate axes is approximated by a multivariate compound Poisson distribution and by signed compound Poisson measure. The local and $\ell_\alpha$-norms are used to obtain t
Externí odkaz:
http://arxiv.org/abs/2003.09650
In this paper, a new method based on probability generating functions is used to obtain multiple Stein operators for various random variables closely related to Poisson, binomial and negative binomial distributions. Also, Stein operators for certain
Externí odkaz:
http://arxiv.org/abs/1406.6463
Autor:
Cekanavicius, V., Vellaisamy, P.
We prove the Simons-Johnson theorem for the sums $S_n$ of $m$-dependent random variables, with exponential weights and limiting compound Poisson distribution $\CP(s,\lambda)$. More precisely, we give sufficient conditions for $\sum_{k=0}^\infty\ee^{h
Externí odkaz:
http://arxiv.org/abs/1402.0183
Autor:
Vellaisamy, P., Cekanavicius, V.
Publikováno v:
Contemporary Developments in Statistical Theory: A Festschrift for Hira Lal Koul. Editors: Soumendra Lahiri, Anton Schick, Ashis Sengupta and T. N. Sriram. Springer Proceedings in Mathematical Sciences, 2014, 375-393
Non-uniform estimates are obtained for Poisson, compound Poisson, translated Poisson, negative binomial and binomial approximations to sums of of m-dependent integer-valued random variables. Estimates for Wasserstein metric also follow easily from ou
Externí odkaz:
http://arxiv.org/abs/1307.6296
Autor:
Čekanavičius, V., Vellaisamy, P.
Sums of of 1-dependent integer-valued random variables are approximated by compound Poisson, negative binomial and Binomial distributions and signed compound Poisson measures. Estimates are obtained for total variation and local metrics. The results
Externí odkaz:
http://arxiv.org/abs/1301.7196
Autor:
Čekanavičius, V., Vellaisamy, P.
Publikováno v:
Bernoulli 2010, Vol. 16, No. 4, 1114-1136
Compound Poisson distributions and signed compound Poisson measures are used for approximation of the Markov binomial distribution. The upper and lower bound estimates are obtained for the total variation, local and Wasserstein norms. In a special ca
Externí odkaz:
http://arxiv.org/abs/1011.5734
Autor:
čekanavičius, V.
Publikováno v:
Advances in Applied Probability, 2003 Dec 01. 35(4), 982-1006.
Externí odkaz:
https://www.jstor.org/stable/1428496
Autor:
Čekanavičius, V., Wang, Y. H.
Publikováno v:
Advances in Applied Probability, 2003 Mar 01. 35(1), 228-250.
Externí odkaz:
https://www.jstor.org/stable/1428281
Autor:
Barbour, A. D., Čekanavičius, V.
Publikováno v:
The Annals of Probability, 2002 Apr 01. 30(2), 509-545.
Externí odkaz:
https://www.jstor.org/stable/1558811