In this paper, we give new characterizations of exponential distributions on positive semigroups and we study the corresponding gamma distributions that govern semigroup products of independent and ...

An important problem in the field of insurance and operational risk is the determination of the distribution function when a compound loss model is used for the total loss. A large variety of methods ...

In generalized linear models, the response is assumed to possess a probability distribution of the exponential form. That is, the probability density of the response Y for continuous response ...