This paper is concerned with introducing a family of multivariate mixed Negative Binomial
regression models in the context of a posteriori ratemaking. The multivariate mixed Negative …

This paper introduced a new mixed distribution, namely the negative binomial-generalized
exponential (NB-GE) distribution, which it obtained by mixing the negative binomial (NB) …

This article presents the Poisson-Inverse Gamma regression model with varying dispersion
for approximating heavy-tailed and overdispersed claim counts. Our main contribution is that …

In the statistical literature, several discrete distributions have been developed so far for
modeling non-negative integer-valued phenomena, yet there is still room for new counting …

A new discrete distribution depending on two parameters, α< 1, α≠ 0 and 0< θ< 1, is
introduced in this paper. The new distribution is unimodal with a zero vertex and …

In actuarial applications, mixed Poisson distributions are widely used for modelling claim
counts as observed data on the number of claims often exhibit a variance noticeably …

In insurance the expected number of claims per year given the observed characteristics of
the covered risk is the basis for setting the price of a policy. Companies accumulate …

A well-designed framework for risk classification and ratemaking in automobile insurance is
key to insurers' profitability and risk management, while also ensuring that policyholders are …

This paper proposes multivariate versions of the continuous Lindley mixture of Poisson
distributions considered by Sankaran (1970). This new class of distributions can be used for …

In this paper, we introduce a negative binomial-Sushila distribution which is a new mixed
negative binomial distribution. The probability mass function (pmf) has been expressed as …