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Research Article Open access CC BY 4.0

Weibull-Inverse Exponential [Loglogistic] A New Distribution

Mahmoud Riad Mahmoud, Azza E. Ismail, Moshera A. M. Ahmad

Asian Journal of Probability and Statistics · pp. 33–44 · Published 6 Mar 2023

10.9734/ajpas/2023/v21i3466

Abstract

The Weibull-inverse exponential-loglogistic distribution which is abbreviated as (Weibull-IE-loglogistc) is a member of the neotric T- inverse exponential family introduced previously by the authors. Properties of this distribution such as (mode, quantile function, median, hazard function, survival function, moments, order statistics and Shannon’s entropy) are derived, and maximum likelihood estimates of its parameters are obtained. The usefulness of this neoteric distribution in analyzing data is illustrated. A simulation study is conducted to evaluate the performance of this distribution.

Quantile function Shannon's entropy T-IE family T-X[Y] Weibull-inverse exponential [loglogistic] distribution

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