Beta transmuted Lomax distribution with applications

Ahmed Hurairah; Abdelhakim Alabid

doi:10.21307/stattrans-2020-012

Beta transmuted Lomax distribution with applications

Ahmed Hurairah Department of Statistics, Sana’a University, Yemen , Abdelhakim Alabid Department of Statistics, Sana’a University, Yemen Statistics in Transition new series, vol. 21, 2020, 2, pages: 13-34 Published online: 5 June 2020 DOI 10.21307/stattrans-2020-012

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ABSTRACT

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.

KEYWORDS

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

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