Staff Members - Benha University
The beta transmuted-H family for lifetime data
Statistics and Its Interface • 2017
Publication Information
Authors
Ahmed Afify;Haitham Yousof;Saralees Nadarajah
Keywords
Beta-G family;Generating function;Maximum likelihood;Order statistic;Transmuted family
Journal
Statistics and Its Interface
Publisher
International Press
Volume
10
Issue
3
Pages
505-520
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
We introduce a new family of continuous distributions
called the beta transmuted-H family which extends the
transmuted family pioneered by Shaw and Buckley [34].
Some of its mathematical properties including explicit expressions for the ordinary moments, quantiles, generating
functions and order statistics are derived. Some special models of the new family are provided. The maximum likelihood
method is used for estimating the model parameters, and the
finite sample performance of the estimators is assessed by
simulation. The importance and flexibility of the proposed
family are illustrated by applications to two real data sets.
called the beta transmuted-H family which extends the
transmuted family pioneered by Shaw and Buckley [34].
Some of its mathematical properties including explicit expressions for the ordinary moments, quantiles, generating
functions and order statistics are derived. Some special models of the new family are provided. The maximum likelihood
method is used for estimating the model parameters, and the
finite sample performance of the estimators is assessed by
simulation. The importance and flexibility of the proposed
family are illustrated by applications to two real data sets.