Generalised Odd Frechet Family of Distributions: Properties and Applications
Generalised Odd Frechet Family of Distributions: Properties and Applications
Author(s): Shahdie Marganpoor, Vahid Ranjbar, Morad Alizadeh, Kamel AbdollahnezhadSubject(s): Business Economy / Management
Published by: Główny Urząd Statystyczny
Keywords: Fréchet distribution; Wiebull distribution; structural properties; failure-time; maximum likelihood estimation
Summary/Abstract: 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.
Journal: Statistics in Transition. New Series
- Issue Year: 21/2020
- Issue No: 3
- Page Range: 109-128
- Page Count: 20
- Language: English