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The exponentiated gumbel weibull distribution: properties and applications
Author(s):
1. Uchenna U. Uwadi: Department of Mathematics/Computer Science/Statistics/Informatics Alex Ekwueme Federal University, Ndufu-Alike, Nigeria
2. Elebe E. Nwezza: Department of Mathematics/Computer Science/Statistics/Informatics Alex Ekwueme Federal University, Ndufu-Alike, Nigeria
3. Chukwuemeka O. Omekara: Department of Statistics, Michael Okpara University of Agriculture Umudike, Nigeria
4. Chukwunenye I. Okonkwo: Department of Statistics, Michael Okpara University of Agriculture Umudike, Nigeria
Abstract:
In this research article, a new model called exponentiated Gumbel Weibull distribution from the exponentiated Gumbel-G family is introduced. The new model can be expressed as a linear combination of exponentiated Weibull and Weibull distribution. The expressions for, quantile function, ordinary, incomplete and Trimmed-L moments, mode, moment of residual life, moment of reversed residual life, inequality measures, entropy, and order statistics of the subject distribution is derived. Estimation of the unknown parameters is done using the maximum likelihood method. A simulation study results to assess the performance of the maximum likelihood estimates are presented. The importance of the new distribution is illustrated using two data sets.
Page(s): 189-213
DOI: DOI not available
Published: Journal: Pakistan Journal of Statistics, Volume: 37, Issue: 3, Year: 2021
Keywords:
Order Statistics , Moments , Maximum Likelihood , Exponentiated Gumbel , Exponentiated Gumbel Family , TrimmedL Moments
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