Author(s):
1. Mohamed G. Khalil:
Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt
2. Wagdy M. Kamel:
Department of Statistics, Mathematics and Insurance, Tanta University, Tanta, Egypt
Abstract:
A new three-parameter life parametric model called the Marshall-Olkin generalized Weibull is defined and studied. Relevant properties are mathematically derived and analyzed. The new density exhibits various important symmetric and asymmetric shapes with different useful kurtosis. The new failure rate can be “constant”, “upside down-constant (reversed U-HRF-constant)”, “increasing then constant”, “monotonically increasing”, “J-HRF” and “monotonically decreasing”. The method of maximum likelihood is employed to estimate the unknown parameters. A graphical simulation is performed to assess the performance of the maximum likelihood estimation. We checked and proved empirically the importance, applicability and flexibility of the new Weibull model in modeling various symmetric and asymmetric types of data. The new distribution has a high ability to model different symmetric and asymmetric types of data.
Page(s):
675-688
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 16, Issue: 4, Year: 2020
Keywords:
maximum likelihood estimation
,
Order Statistics
,
Generating Function
,
quantile function
,
Weibull distribution
,
Moments
,
MarshallOlkin family
References:
References are not available for this document.
Citations
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