The distribution of the aggregate claims in one year plays an important role in Actuarial Statistics for computing, for example, insurance premiums when both the number and size of the claims must be implemented into the model. When the number of claims follows a Poisson distribution the...

Abstract Weibull distributions are popular models for quality and reliability. In this note, we investigate a distribution proposed by Bousquet et al. as an alternative to the Weibull distribution. We derive – for the first time – explicit and general expressions for the moments and the...