Some inferences on truncated generalized Cauchy distribution

Abstract

Rider (1957) introduced the generalized Cauchy distribution. In this paper we will consider a truncated version of the generalized Cauchy distribution. One possible use of the model is in life testing problem when the domain of application is non negative. Here we will consider several distributional properties of the truncated generalized Cauchy distribution. Some characterizations of this distribution based on truncated moments, order statistics and record values, will be given.

Keywords: Order statistics; Record values; Characterization; Hazard rate.