Polish Statistical Association

Central Statistical Office of Poland

**Subject:** Economics , Statistics & Probability

**ISSN:** 1234-7655

**eISSN:** 2450-0291

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Shahdie Marganpoor / Vahid Ranjbar / Morad Alizadeh / Kamel Abdollahnezhad

**Keywords : **
Fréchet distribution,
Wiebull distribution,
structural properties,
failure-time,
maximum likelihood estimation

**Citation Information : **
Statistics in Transition New Series. Volume 21,
Issue 3,
Pages 109-128,
DOI: https://doi.org/10.21307/stattrans-2020-047

**License : **
(CC BY-NC-ND 4.0)

**Received Date : **16-May-2018
/
**Accepted: **22-May-2020
/
**Published Online: ** 20-September-2020

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A new distribution called Generalized Odd Fréchet (GOF) distribution is presented and its properties explored. Some structural properties of the proposed distribution, including the shapes of the hazard rate function, moments, conditional moments, moment generating function, skewness, and kurtosis are presented. Mean deviations, Lorenz and Bonferroni curves, Rényi entropy, and the distribution of order statistics are given. The maximum likelihood estimation technique is used to estimate the model parameters, and finally applications of the model to a real data set are presented to illustrate the usefulness of the proposed distribution.

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