Mohamed Sewalim El-sayed Hamed
Lecturer
A New Transmuted Additive Weibull Distribution: Based On A New Method For Adding A Parameter To A Family Of Distributions
International Journal of Applied Mathematical Sciences • 2020
Publication Information
Authors
Mohamed S. Hamed, et
Keywords
transmutation; survival function; exponentiated exponential; order
statistics; maximum likelihood estimation.
Journal
International Journal of Applied Mathematical Sciences
Publisher
Research India Publications
Volume
8
Issue
1
Pages
31-54
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
This paper introduces a new generalization of the transmuted additive Weibull
distribution by Elbatal and Aryal [10], based on a new family of lifetime distribution.
We refer to the new distribution as a new transmuted additive Weibull (NTAW)
distribution. The new model contains some of lifetime distributions as special cases
such as the transmuted additive Weibull, exponentiated modified Weibull,
exponentiated Weibull, exponentiated exponential, transmuted Weibull, Rayleigh,
linear failure rate and exponential distributions, among others. 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. An application to real data set is finally presented for illustration.
This paper introduces a new generalization of the transmuted additive Weibull
distribution by Elbatal and Aryal [10], based on a new family of lifetime distribution.
We refer to the new distribution as a new transmuted additive Weibull (NTAW)
distribution. The new model contains some of lifetime distributions as special cases
such as the transmuted additive Weibull, exponentiated modified Weibull,
exponentiated Weibull, exponentiated exponential, transmuted Weibull, Rayleigh,
linear failure rate and exponential distributions, among others. 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. An application to real data set is finally presented for illustration.
distribution by Elbatal and Aryal [10], based on a new family of lifetime distribution.
We refer to the new distribution as a new transmuted additive Weibull (NTAW)
distribution. The new model contains some of lifetime distributions as special cases
such as the transmuted additive Weibull, exponentiated modified Weibull,
exponentiated Weibull, exponentiated exponential, transmuted Weibull, Rayleigh,
linear failure rate and exponential distributions, among others. 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. An application to real data set is finally presented for illustration.
This paper introduces a new generalization of the transmuted additive Weibull
distribution by Elbatal and Aryal [10], based on a new family of lifetime distribution.
We refer to the new distribution as a new transmuted additive Weibull (NTAW)
distribution. The new model contains some of lifetime distributions as special cases
such as the transmuted additive Weibull, exponentiated modified Weibull,
exponentiated Weibull, exponentiated exponential, transmuted Weibull, Rayleigh,
linear failure rate and exponential distributions, among others. 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. An application to real data set is finally presented for illustration.