# A New Inverse Weibull Distribution: Properties, Classical and Bayesian estimation with Applications

## DOI:

https://doi.org/10.48129/kjs.v48i3.9896## Keywords:

Bayesian estimation, Inverse Weibull distribution, Moments, Quantile function## Abstract

This article proposes a new extension of the inverse Weibull distribution called, loga-

rithmic transformed inverse Weibull distribution which can provide better ts than some

of its well-known extensions. The proposed distribution contains inverse Weibull, inverse

Rayleigh, inverse exponential, logarithmic transformed inverse Rayleigh and logarithmic

transformed inverse exponential distributions as special sub-models. Our main focus is to

derive some of its mathematical properties along with the estimation of its unknown param-

eters using frequentist and Bayesian estimation methods. We compare the performances

of the proposed estimators using extensive numerical simulations for both small and large

samples. The importance and potentiality of this distribution is analyzed via two real data

sets.

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