Limit Theorems of Order Statistics and Record Values from the Gamma- and Kumaraswamy-Generated-Distributions

作者：Barakat H M; Nigm E M^*; Harpy M H

来源：Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40(3): 1055-1069.

DOI：10.1007/s40840-016-0356-9

• Asymptotic distributions
• Order statistics
• Record values
• Kumaraswamy distribution
• Gamma distribution

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.

• 出版日期2017-7