Probability generating function (pgf) is a powerful tool to study discrete compound Poisson
(DCP) distribution. By applying inverse Fourier transform of pgf, it is convenient to …

We consider random transformations $ T_\omega^ n:= T_ {\sigma^{n-1}\omega}\circ\cdots\
circ T_ {\sigma\omega}\circ T_\omega, $ where each map $ T_ {\omega} $ acts on a …

Since the inception of the novel Corona Virus Disease-19 in December in China, the spread
has been massive leading World Health Organization to declare it a world pandemic. While …

Starting with a literature review for theoretical properties of COM-Poisson distributions, this
paper proposes some new characterizations of COM-Poisson random variables. First, we …

We focus on the COM-type negative binomial distribution with three parameters, which
belongs to COM-type (a, b, 0) class distributions and family of equilibrium distributions of …

In this article, the compound Poisson process of order k (CPPoK) is introduced and its
properties are discussed. Further, using mixture of tempered stable subordinators (MTSS) …

Sampling methods are becoming in demand due to the rapid growth of big data
applications. The term “Big Data” not only means the large size of data volume but also …

The widely known generators of Poisson random variables are associated with different
modifications of the algorithm based on the convergence in probability of a sequence of …

We study the problem of strategic choice of arrival time to a single-server queue with
opening and closing times when there is uncertainty regarding service speed. A Poisson …

Since the discovery of the novel COVID-19 in December in China, the spread has been
massively felt across the world leading World Health Organization declaring it a global …