15 citations · 40 across the 9 of their papers we have counts for
9 papers
Multidimensional compound Poisson approximations for symmetric distributions
Vydas Čekanavičius, Simona Jokubauskienė
Distribution of the sum of independent identically distributed symmetric lattice vectors is approximated by the accompanying compound Poisson law and the second-order Hipp-type sig…
Compound Poisson approximations in -norm for sums of weakly dependent vectors
V. Čekanavičius, P. Vellaisamy
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 P…
On Stein operators for discrete approximations
N. S. Upadhye, V. Cekanavicius, P. Vellaisamy
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 a…
A Compound Poisson Convergence Theorem for Sums of -Dependent Variables
V. Cekanavicius, P. Vellaisamy
We prove the Simons-Johnson theorem for the sums of -dependent random variables, with exponential weights and limiting compound Poisson distribution $\CP(s,λ)$. More preci…
Non-uniform approximations for sums of discrete m-dependent random variables
P. Vellaisamy, V. Cekanavicius
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…
Smoothing effect of Compound Poisson approximation to distribution of weighted sums
Vydas Cekanavicius, Aiste Elijio
The accuracy of compound Poisson approximation to the sum is estimated. Here are sums of independent or weakly dependent random variables, and $w…