15 citations · 40 across the 9 of their papers we have counts for
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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…
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…
Discrete approximations for sums of m-dependent random variables
V. Čekanavičius, P. Vellaisamy
Sums of of 1-dependent integer-valued random variables are approximated by compound Poisson, negative binomial and Binomial distributions and signed compound Poisson measures. Esti…
Compound Poisson and signed compound Poisson approximations to the Markov binomial law
V. Čekanavičius, P. Vellaisamy
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…