A Poisson distribution is commonly used as the innovation distribution for integer-valued
autoregressive models, but its mean is equal to its variance, which limits flexibility, so a …

A goodness-of-fit test for one-parameter count distributions with finite second moment is
proposed. The test statistic is derived from the L 1-distance of a function of the probability …

The two-parameter Neyman type A distribution is quite useful for modeling count data, since
it corresponds to a simple, flexible and overdispersed discrete distribution, which is also …

This paper presents and examines computationally convenient goodness-of-fit tests for the
family of generalized Poisson distributions, which encompasses notable distributions such …

The geometric distribution is one of the most widely used count distributions. Novel
goodness of fit tests for this distribution are suggested taking advantage of a characterization …

New estimators for the scale parameter of the one‐sided Lévy distribution are proposed,
which are used for constructing new classes of goodness‐of‐fit (gof) tests, based on the ratio …

The discrete Bell distribution and its associated regression model were introduced recently
in the statistical literature. The Bell distribution has proved to be a useful alternative to the …

Empirical integral transform methods are powerful yet relatively little-known tools of
statistical inference. They offer a framework for designing estimators and tests in parametric …