On moments of dual generalized order statistics from Topp-Leone distribution

被引：7
|
作者：
Khan, M. J. S. [1 ]
Iqrar, S. [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Stat & Operat Res, Aligarh 202002, Uttar Pradesh, India
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2019年 / 48卷 / 03期
关键词：
Dual generalized order statistics; Maximum likelihood estimator; Moments; Topp-Leone distribution; Uniformly minimum variance unbiased estimator; RECURRENCE RELATIONS; PRODUCT MOMENTS; FAMILY; EXPECTATION; SINGLE;
D O I：
10.1080/03610926.2017.1414260
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this paper, we have derived exact and explicit expressions for the ratio and inverse moments of dual generalized order statistics from Topp-Leone distribution. This result includes the single and product moments of order statistics and lower records. Further, based on n dual generalized order statistics, we have deduced the expression for Maximum likelihood estimator (MLE) and Uniformly minimum variance unbiased estimator (UMVUE) for the shape parameter of Topp-Leone distribution. Finally, based on order statistics and lower records, a simulation study is being carried out to check the efficiency of these estimators.
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页码：479 / 492
页数：14
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