Staff Members - Benha University
A New Kumaraswamy Transmuted Exponential Distribution with Applications to Lifetime Data
Journal of Applied Probability and Statistics • 2016
Publication Information
Authors
Mohamed Sewalim Hamed
Keywords
transmutation; survival function; exponentiated exponential;
order statistics; maximum likelihood estimation
Journal
Journal of Applied Probability and Statistics
Publisher
Journal of Applied Probability and Statistics
Volume
11
Issue
1
Pages
47-74
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
This paper introduces a new generalization of the Kumaraswamy transmuted exponentiated
exponential distribution, based on a new family of life time distribution
by Mansour et al.(2015) .We refer to the new distribution as Kumaraswamy
new transmuted exponential (Kw−NTE) distribution. The new model contains
some of lifetime distributions as special cases such as exponentiated exponential,
transmuted exponential and exponential distributions. The properties of the new
model are discussed and the maximum likelihood estimation is used to evaluate
the parameters. Explicit expressions are derived for the moments and examine
the order statistics. This model is capable of modeling various shapes of aging
and failure criteria
exponential distribution, based on a new family of life time distribution
by Mansour et al.(2015) .We refer to the new distribution as Kumaraswamy
new transmuted exponential (Kw−NTE) distribution. The new model contains
some of lifetime distributions as special cases such as exponentiated exponential,
transmuted exponential and exponential distributions. The properties of the new
model are discussed and the maximum likelihood estimation is used to evaluate
the parameters. Explicit expressions are derived for the moments and examine
the order statistics. This model is capable of modeling various shapes of aging
and failure criteria