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Expectation properties of generalized order statistics based on Gompertz-G family of distributions

100%
ALHARBI Y. F., FAWZY M. A., ATHAR H.
Operations Research and Decisions
|
2023
|
vol. 33
|
issue 4
1-14
EN
Gompertz-G family of distributions has been considered. The moment properties of generalized order statistics were studied and characterization results have been presented. Further, several examples and special cases were discussed. The results can be applied to many known distributions included in this family.
2
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Expectation properties of generalized order statistics based on the Gompertz-G family of distributions

100%
Alharbi Y. F., Fawzy M. A., Athar H.
Operations Research and Decisions
|
2023
|
vol. 33
|
issue 4
EN
Gompertz-G family of distributions has been considered. The moment properties of generalized order statistics were studied and characterization results have been presented. Further, several examples and special cases were discussed. The results can be applied to many known distributions included in this family.
3
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Relations for moments of generalised order statistics based on Weibull–G family of distributions

88%
Athar H., Alharbi Y. F., Fawzy M. A.
Operations Research and Decisions
|
2022
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vol. 32
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issue 4
EN
The Weibull distribution is one of the important distributions used in reliability theory and life-testing experiments. The generalised versions of the Weibull distribution give a more flexible model for these studies. The Weibull–G family of distributions is one of the extended versions extensively studied. In this paper, we have studied moments properties of generalised order statistics for the said distribution in terms of a single moment, product moments and characterisation. Several examples and special cases are presented. The results can be applied to all distributions belonging to this family.
4
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Generalized Pareto distribution based on generalized order statistics and associated inference

88%
Malik M. R., Kumar D.
Statistics in Transition new series
|
2019
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vol. 20
|
issue 3
57-79
EN
In this paper, we have considered the generalized Pareto distribution. Various structural properties of the distribution are derived including (quantile function, explicit expressions for moments, mean deviation, Bonferroni and Lorenz curves and Renyi entropy). We have provided simple explicit expressions and recurrence relations for single and product moments of generalized order statistics from the generalized Pareto distribution. The method of maximum likelihood is adopted for estimating the model parameters. For different parameter settings and sample sizes, the simulation studies are performed and compared to the performance of the generalized Pareto distribution.
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