Staff Members - Benha University
A new extension of the Fréchet distribution: Properties and its characterization
Communications in Statistics– theory and methods • 2018
Publication Information
Authors
Zohdy M. Nofala and M. Ahsanullahb
Keywords
Fréchet model; generalized
transmuted-G family; order
statistics’maximum
likelihood; moments;
characterization
Journal
Communications in Statistics– theory and methods
Publisher
Not Available
Volume
Not Available
Issue
Not Available
Pages
Not Available
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
A new lifetimemodel, which extends the Fréchet distribution called the
generalized transmuted Fréchet distribution is proposed and studied.
Various of its structural properties including ordinary and incomplete
moments, generating function, residual and reversed residual lifes, order
statistics and probability weighted moments are derived. Two characterization
theorems are presented. The maximum likelihood method is
used to estimate themodel parameters. The flexibility of the new distribution
is illustrated using a real data set. It can serve as an alternative
model to other lifetime models available in the literature for modeling
positive real data in many areas.
generalized transmuted Fréchet distribution is proposed and studied.
Various of its structural properties including ordinary and incomplete
moments, generating function, residual and reversed residual lifes, order
statistics and probability weighted moments are derived. Two characterization
theorems are presented. The maximum likelihood method is
used to estimate themodel parameters. The flexibility of the new distribution
is illustrated using a real data set. It can serve as an alternative
model to other lifetime models available in the literature for modeling
positive real data in many areas.