Some Extended Classes of Distributions: Characterizations and Properties
Abstract
Based on a simple relationship between two truncated moments and certain functions of the th order statistic, we characterize some extended classes of distributions recently proposed in the statistical literature, videlicet Beta-G, Gamma-G, Kumaraswamy-G and McDonald-G. Several properties of these extended classes and some special cases are discussed. We compare these classes in terms of goodness-of-fit criteria using some baseline distributions by means of two real data sets.
Keywords
Full Text:
PDFDOI: http://dx.doi.org/10.18187/pjsor.v13i4.2147
Refbacks
- There are currently no refbacks.
Copyright (c) 2017 Pakistan Journal of Statistics and Operation Research

This work is licensed under a Creative Commons Attribution 4.0 International License.
Title
Some Extended Classes of Distributions: Characterizations and Properties
Keywords
Beta exponential; Beta extended Weibull; Characterization; Gamma extended Weibull; Generalized McDonald; McDonald normal; Kumaraswamy-inverse Weibull
Description
Based on a simple relationship between two truncated moments and certain functions of the th order statistic, we characterize some extended classes of distributions recently proposed in the statistical literature, videlicet Beta-G, Gamma-G, Kumaraswamy-G and McDonald-G. Several properties of these extended classes and some special cases are discussed. We compare these classes in terms of goodness-of-fit criteria using some baseline distributions by means of two real data sets.
Date
2017-12-01
Identifier
Source
Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810