Beta transmuted Lomax distribution with applications


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Statistics in Transition New Series

Polish Statistical Association

Central Statistical Office of Poland

Subject: Economics , Statistics & Probability


ISSN: 1234-7655
eISSN: 2450-0291





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VOLUME 21 , ISSUE 2 (June 2020) > List of articles

Beta transmuted Lomax distribution with applications

Ahmed Hurairah / Abdelhakim Alabid

Keywords : Lomax distribution, beta Lomax distribution, transmuted distribution, maximum likelihood estimation

Citation Information : Statistics in Transition New Series. Volume 21, Issue 2, Pages 13-34, DOI:

License : (CC BY-NC-ND 4.0)

Received Date : 18-May-2018 / Accepted: 13-March-2020 / Published Online: 01-June-2020



In this paper we propose and test a composite generalizer of the Lomax distribution .The genesis of the beta distribution and transmuted map is used to develop the so-called beta transmuted Lomax (BTL) distribution. The properties of the distribution are discussed and explicit expressions are derived for the moments, mean deviations, quantiles, distribution of order statistics and reliability. The maximum likelihood method is used for estimating the model parameters, and the finite sample performance of the estimators is assessed by simulation. Finally, the authors demonstrate the usefulness of the new distribution in analysing positive data.

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