Some considerations and developments about recently proposed families of distributions with hinge points

Abstract

This paper deals with probability density functions with hinge points, useful when representing phenomena which have different statistical features, depending on the fact that a threshold point has been overtaken or not. The STSP distribution, proposed by Van Dorp and Kotz (2002 a) is recalled and developed, and a modified model (MTSP), a mixture of STSP and Uniform, is defined and studied. Moreover, the Two Faced distribution, already proposed in Brizzi (2006), is recalled and thoroughly analysed, and some estimation problems, related to both models considered, are faced by a semi-empirical approach.