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September 2017 On Marshall-Olkin Burr X family of distribution
Farrukh Jamal, M. H. Tahir, Morad Alizadeh, M. A. Nasir
Tbilisi Math. J. 10(4): 175-199 (September 2017). DOI: 10.1515/tmj-2017-0055

Abstract

Generalizing distributions is important for applied statisticians and recent literature has suggested several ways of extending well-known distributions. We propose a new class of distributions called the Marshall-Olkin Burr X family, which yields exible shapes for its density such as symmetrical, left-skewed, right-skewed and reversed-J shaped, and can have increasing, decreasing,constant, bathtub and upside-down bathtub hazard rates shaped. Some of its structural properties including quantile and generating functions, ordinary and incomplete moments, and mean deviations are obtained. One special model of this family, the Marshall-Olkin-Burr-Lomax distribution, is investigated in details. We also derive the density of the order statistics. The model parameters are estimated by the maximum likelihood method. For illustrative purposes, three applications to real life data are presented.

Citation

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Farrukh Jamal. M. H. Tahir. Morad Alizadeh. M. A. Nasir. "On Marshall-Olkin Burr X family of distribution." Tbilisi Math. J. 10 (4) 175 - 199, September 2017. https://doi.org/10.1515/tmj-2017-0055

Information

Received: 19 March 2017; Accepted: 10 May 2017; Published: September 2017
First available in Project Euclid: 21 April 2018

zbMATH: 06825314
MathSciNet: MR3739390
Digital Object Identifier: 10.1515/tmj-2017-0055

Subjects:
Primary: 60E05
Secondary: 62E10, 62P10

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

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Vol.10 • No. 4 • September 2017
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