We present a simple framework for studying empirical‐distribution‐function goodness‐of‐fit
tests for discrete models. A key tool is a weak‐convergence result for an estimated discrete …

A convenient approach to the statistical analysis of distributions for counts is possible using
the empirical probability generating function. In this paper we give an overview of recent …

We give a critical synopsis of classical and recent tests for Poissonity, our emphasis being
on procedures which are consistent against general alternatives. Two classes of weighted …

The importance of the Poisson distribution among the discrete distributions has led to the
development of several hypothesis tests, for testing whether data come from a Poisson …

Goodness-of-fit tests based on the Cram&r-von Mises statistics are given for the Poisson
distribution. Power comparisons show that these statistics, particularly A2, give good overall …

This paper considers two flexible classes of omnibus goodness-of-fit tests for the inverse
Gaussian distribution. The test statistics are weighted integrals over the squared modulus of …

Background Blood lead has been associated with an elevated risk of miscarriage. The
plasmatic fraction of lead represents the toxicologically active fraction of lead. Women with a …

This paper studies the problem of simultaneously testing that each of k samples, coming
from k count variables, were all generated by Poisson laws. The means of those populations …

This paper presents a new widely applicable omnibus test for discrete distributions which is
based on the difference between the integrated distribution function Ψ (t)=∫ t∞(1− F (x)) dx …

Bivariate count data arise in several different disciplines and the bivariate Poisson
distribution is commonly used to model them. This paper proposes and studies a …