15 citations · 40 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
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…
On Stein's method and perturbations
Andrew D. Barbour, Vydas Cekanavicius, Aihua Xia
Stein's (1972) method is a very general tool for assessing the quality of approximation of the distribution of a random element by another, often simpler, distribution. In applicat…