A Truncated General-G Class of Distributions with Application to Truncated Burr-G Family

Abstract

In this paper, we introduce a truncated general-G class of distributions. This class can be viewed as a weighted family of distributions with a general weight function, and also it generalizes the beta generator family proposed by Eugene et al. (2002). Some features of the class are stated with a comprehensive study to the truncated Burr-G (TB-G) family as one of the important subclass of the introduced class. The study includes the mixture representation in terms of baseline distribution, moments, moment generating function, stochastic ordering, stress-strength parameter, entropies, estimation by the maximum likelihood. The applicability of some new sub-models of the TB-G family is shown using two practical data sets.

Keywords

• family of distributions
• Burr distribution
• quantile function
• simulation
• estimation
• goodness-of-fit statistics