Author(s):
1. Lazhar Benkhelifa:
Department of Mathematics and Informatics, Larbi Ben M'Hidi University,Oum El Bouaghi, 04000,Algeria
Abstract:
In this paper, we propose a new flexible lifetime distribution. The proposed distribution will be referred to as beta power Muth distribution. It can be used to model increasing, decreasing, bathtub shaped or upside-down bathtub hazard rates. Some properties of the new model are obtained including moments, quantile function and moments of the order statistics. The unknown model parameters are estimated by the maximum likelihood method of estimation. A Monte Carlo simulation study is carried out to assess the performance of the maximum likelihood estimates. Two reliability data sets are applied to illustrate the usefulness and flexibility of the proposed model. In addition, we introduce a new location-scale regression model based on the logarithm of the proposed distribution and provide a real data application.
Page(s):
225-243
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 18, Issue: 1, Year: 2022
Keywords:
Data analysis
,
Maximum likelihood estimation
,
Regression modeling
,
Beta distribution
,
Muth distribution
References:
References are not available for this document.
Citations
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