Author(s):
1. Aminu Suleiman Mohammed:
Department of Statistics, Ahmadu Bello University,Zaria-,Nigeria
2. Fidelis Ifeanyi Ugwuowo:
Department of Statistics, University of Nigeria,Nsukka,
Abstract:
We propose a new family of continuous distributions with two extra parameters named Transmuted Exponential- G family of distributions. We provide a special member for the new family of distributions. An explicit expression for some of its mathematical and structural properties such as reliability function, failure rate, ordinary moments, incomplete moments, generating function, Renyi entropy and order statistics were derived and presented. The method of maximum likelihood is used to estimate the parameters of the developed family of distributions. A simulation study is carried out to assess the performance of the maximum likelihood estimators in terms of biases and mean squared errors. Real-life data are used to validate the robustness of the developed family of distribution.
Page(s):
149-168
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics, Volume: 36, Issue: 2, Year: 2020
Keywords:
maximum likelihood
,
Order statistics
,
Reliability function
,
Transmuted Exponential
References:
References are not available for this document.
Citations
Citations are not available for this document.