The Marshall-Olkin-Kumaraswamy-G family of distributions

DOI

10.2991/jsta.2017.16.4.2How to use a DOI?

Keywords

Exponentiated family; Power weighted moment; Characterizations; AIC; BIC; CAIC; HQIC and K-S test.

Abstract

A new family of continuous probability distributions is proposed by using Kumaraswamy-G distribution as the base line distribution in the Marshall-Olkin construction. A number of known distributions are derived as particular cases. Various properties of the proposed family like formulation of the pdf as different mixture of exponentiated baseline distributions, order statistics, moments, moment generating function, Rényi entropy, quantile function and random sample generation have been investigated. Asymptotes, shapes and stochastic ordering are also investigated. Characterizations of the proposed family based on truncated moments, hazard function and reverse hazard function are also presented. The parameter estimation by method of maximum likelihood, their large sample standard errors and confidence intervals and method of moment are also discussed. Two members of the proposed family are compared with different sub models and also with the corresponding members of Kumaraswamy-Marshall-Olkin-G family by fitting of two real life data sets.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Laba Handique
AU  - Subrata Chakraborty
AU  - G.G. Hamedani
PY  - 2017
DA  - 2017/12/01
TI  - The Marshall-Olkin-Kumaraswamy-G family of distributions
JO  - Journal of Statistical Theory and Applications
SP  - 427
EP  - 447
VL  - 16
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2017.16.4.2
DO  - 10.2991/jsta.2017.16.4.2
ID  - Handique2017
ER  -