Truncated Weibull power Lomax distribution: statistical properties and applications

Volume 12, Issue 8, pp 543--551 http://dx.doi.org/10.22436/jnsa.012.08.05

Publication Date: March 18, 2019 Submission Date: December 20, 2018 Revision Date: January 04, 2019 Accteptance Date: January 14, 2019

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Authors

Sanaa Al-Marzouki - Statistics Department, Faculty of Science, King AbdulAziz University, Jeddah, Kingdom of Saudi Arabia.

Abstract

A new four-parameter distribution, called the truncated Weibull power Lomax (TWPL) distribution is introduced. We calculate the density (pdf), distribution function (cdf), quantile function, r\(^{\rm th}\) moment, inequality measures, and order statistics. Maximum Likelihood methods to estimate the TWPL distribution parameters are proposed. Two real data sets are applied to illustrate the flexibility of the TWPL model compared with some Known distributions.

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Keywords

• Power Lomax distribution
• truncated Weibull-G family
• moments
• order statistics

MSC

•  60E05
•  62E10
•  62N05

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