Recent Advances in Lifetime and Reliability Models

Recent Advances in Lifetime and Reliability Models

Introduction: Mathematicians and statisticians have made significant academic progress on the subject of distribution theory in the last two decades, and this area of study is becoming one of the ...
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Recent Compounding Models

Pp. 178-199 (22)

Gauss M. Cordeiro, Rodrigo B. Silva and Abraão. D. C Nascimento

Abstract

In this chapter, we introduce a family of models de ned by compounding two (a continuous and other discrete) distributions. The new family has as limiting case the adopted baseline distribution. The generated models are frequently more exible than the baseline distributions. Several mathematical properties such as moments, quantile and generating functions, among others, are provided. Further, the estimation procedure is approched by maximum likelihood. The potentiality of the family of models is illustrated by means of two applications to real data.

Keywords:

BSPS; BXIIPS; Compounding Models; EWPS; Generating function; Moment; Order statistic; WPS.

Affiliation:

Universidade Federal de Pernambuco, Brazil.