Recent Advances in Lifetime and Reliability Models

Author(s): Gauss M. Cordeiro, Rodrigo B. Silva and Abraão. D. C Nascimento

DOI: 10.2174/9781681083452120010010

Recent Compounding Models

Pp: 178-199 (22)

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Recent Advances in Lifetime and Reliability Models

Recent Compounding Models

Author(s): Gauss M. Cordeiro, Rodrigo B. Silva and Abraão. D. C Nascimento

Pp: 178-199 (22)

DOI: 10.2174/9781681083452120010010

* (Excluding Mailing and Handling)

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.

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