Abstract
The asymptotic behavior of the order statistics and record values based on the gamma and Kumaraswamy-generated-distributions families is studied. In each case, the relation between the weak convergence of the base distribution and the generated family is revealed. Moreover, the relations between the limit types of the base distribution and its generated family are found.
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Acknowledgments
The authors are grateful to the two anonymous referees for their valuable comments that led to a significant improvement of the paper. They also are grateful to Professor Rosihan Ali for his effort and suggesting some valuable references.
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Communicated by Anton Abdulkamil Basah.
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Barakat, H.M., Nigm, E.M. & Harpy, M.H. Limit Theorems of Order Statistics and Record Values from the Gamma- and Kumaraswamy-Generated-Distributions. Bull. Malays. Math. Sci. Soc. 40, 1055–1069 (2017). https://doi.org/10.1007/s40840-016-0356-9
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DOI: https://doi.org/10.1007/s40840-016-0356-9