Multivariate modelling of economics data is crucial for risk and profit analyses in companies.
However, for the final conclusions, a whole set of variables is usually transformed into a …

Rate regulation plays an important role in the financial service of the auto insurance
industry. Modelling the Size of Loss distributions, particularly the large loss distribution at the …

In this study, we explore the potential of composite probability distributions in effectively
modeling claim severity data, which encompasses a spectrum of losses, ranging from minor …

A framework of two-sided densities is presented for asymmetric continuous distributions
consisting of two branches each with its own generating density. The framework supports …

In this article, we study stochastic orders over an interval. Mainly, we focus on orders related
to the Laplace transform. The results are then applied to obtain a bound for heavy-tailed …

Constructing an accurate model for insurance losses is a challenging task. Researchers
have developed various methods to model insurance losses, such as composite models …

Although many data sets are discrete and heavy tailed (for example, number of claims and
claim amounts if recorded as rounded values), not many discrete heavy tailed distributions …

In this paper, we have proposed alpha power exponentiated Pareto distribution for lifetime
data to introduce a new class of alpha power transformation family. The statistical properties …

Composite probability models have shown very promising results for modeling claim
severity data comprised of small, moderate, and large losses. In this paper, we introduce …

In this paper, we consider bivariate composite models for modeling jointly different types of
claims and their associated costs in a flexible manner. For expository purposes, the Gumbel …