Generalised Odd Frechet Family of Distributions: Properties and Applications

• Authors: Shahdie Marganpoor , Vahid Ranjbar , Morad Alizadeh , Kamel Abdollahnezhad

Abstracts

EN

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.

Keywords

EN

Frechet distribution; Wiebull distribution; structural properties; failure-time; maximum likelihood estimation

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2020
• Volume: 21
• Issue: 3
• Pages: 109-128

Contributors

author

Shahdie Marganpoor

• Golestan University, Gorgan, Iran

author

Vahid Ranjbar

• Golestan University, Gorgan, Iran

• https://orcid.org/0000000337430330

author

Morad Alizadeh

• Golestan University, Gorgan, Iran

• https://orcid.org/0000000166382185

author

Kamel Abdollahnezhad

• Golestan University, Gorgan, Iran

Identifiers

DOI

10.21307/stattrans-2020-047

Biblioteka Nauki

1058928