The focus of this article is on the nature of the likelihood associated with N-mixture models for repeated count data. It is shown that the infinite sum embedded in the likelihood associated with the ...

For several pairs (P, Q) of classical distributions on ${\Bbb N}^{0}$ , we show that their stochastic ordering P ≤ st Q can be characterized by their extreme tail ordering equivalent to P({k * })/Q({k ...

Hypergeometric functions occupy a central role in mathematical analysis by encapsulating a diverse class of series that extend many classical functions. Equally, identities involving harmonic numbers ...

Description: Descriptive statistics; elementary probability; sampling distributions; inference, testing hypotheses, and estimations; normal, binomial. Poisson ...

Descriptive statistics, basic concepts of probability and sampling with the aim of introducing fundamental notions and techniques of statistical inference. Prerequisite: Math 10 or a score of 51 or ...

The authors propose a formal mathematical measure to assess the versatility (simplicity and adaptability) of parametric frequency and severity distributions before use. They compute and compare the ...