Beta Generalized Models
Pp. 53-86 (34)
Gauss M. Cordeiro, Rodrigo B. Silva and Abraão D. C. Nascimento
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.
Beta-G model; Entropy; Mean deviation; Moment; Probability
weighted moment; Regression model.
Universidade Federal de Pernambuco, Brazil.