Author(s):
1. Rasool Roozegar:
Department of Statistics, Yazd University, Yazd, Iran
2. Getachew Tekle:
Department of Statistics, Yazd University, Yazd, Iran
3. G. G. Hamedani:
Department of Mathematics, Statistics and Computer Science, Marquette University USA
Abstract:
The researchers in applied statistics are recently highly motivated to introduce new generalizations of distributions due to the limitations of the classical univariate distributions . In this study , we propose a new family called new generalized Xfamily of distributions . A special sub-model called new generalized -Weibull distribution is studied in detail. Some basic statistical properties are discussed in depth . The performance of the new proposed model is assessed graphically and numerically. It is compared with the five well-known competing models. The proposed model is the best in its performance based on the model adequacy and discrimination techniques . The analysis is done for the real data and the maximum likelihood estimation technique is used for the estimation of the model parameters . Furthermore , a simulation study is conducted to evaluate the performance of the maximum likelihood estimators . Additionally , we discuss a mixture of random effect models which are capable of dealing with the overdispersion and correlation in the data . The models are compared for their best fit of the data with these important features. The graphical and model comparison methods implied a good improvement in the combined model.
Page(s):
483-504
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 18, Issue: 2, Year: 2022
Keywords:
Simulation
,
overdispersion
,
Correlation
,
Weibull distribution
,
NGWeibull distribution
,
Combined model
,
Random effect models
,
NGX Family
References:
References are not available for this document.
Citations
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