Generalised Odd Fréchet family of distributions : properties and applications

Shahdie Marganpoor, Vahid Ranjbar, Morad Alizadeh, Kamel Abdollahnezhad

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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Year of publication:	2020
Authors:	Marganpoor, Shahdie ; Ranjbar, Vahid ; Alizadeh, Morad ; Abdollahnezhad, Kamel
Published in:	Statistics in transition : an international journal of the Polish Statistical Association and Statistics Poland. - Warszawa : GUS, ISSN 2450-0291, ZDB-ID 2235641-1. - Vol. 21.2020, 3, p. 109-128
Subject:	Fréchet distribution \| Wiebull distribution \| structural properties \| failure-time \| maximum likelihood estimation \| Statistische Verteilung \| Statistical distribution \| Maximum-Likelihood-Schätzung \| Maximum likelihood estimation \| Schätztheorie \| Estimation theory \| Wahrscheinlichkeitsrechnung \| Probability theory \| Einkommensverteilung \| Income distribution