A Suitable Alternative to the Pareto Distribution

Abstract

Undoubtedly, the single parameter Pareto distribution is one of the most attractive distribution in statistics; a power law probability distribution found in a large number of real-world situations inside and outside the field of economics. Furthermore, it is usually used as a basis for excess of loss quotations as it gives a pretty good description of the random behaviour of large losses. In this paper, we introduce a distribution which can be considered as alternative to the single parameter Pareto distribution. A comprehensive treatment of its mathematical properties is considered with relevant emphasis on results concerning insurance. Additionally, estimation by the method of moments and..