Chapter 3

Beta Generalized Models

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

Abstract

The beta transformation gives a great variety of shapes which allow to model symmetric, skewed and bimodal shaped densities. Such procedure generates what we call the beta generalized (beta-G) family of distributions. This chapter presents a survey on the beta-G models and their mathematical properties. We present some explicit expressions for the ordinary and incomplete moments, probability weighted moments, cumulants and generating function, mean deviations, entropies and order statistics.

Total Pages: 53-86 (34)

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