Concomitant of Order Statistics from New Bivariate Gompertz Distribution

被引:3
|
作者
Kumar, Sumit [1 ]
Khan, M. J. S. [2 ]
Kumar, Surinder [1 ]
机构
[1] Babasaheb Bhimrao Ambedkar Univ, Lucknow, Uttar Pradesh, India
[2] Aligarh Muslim Univ, Aligarh, Uttar Pradesh, India
关键词
New bivariate Gompertz distribution; order statistics; concomitant of order statistics; moment generating function;
D O I
10.22237/jmasm/1604189820
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
For the new bivariate Gompertz distribution, the expression for probability density function (pdf) of rth order statistics and pdf of concomitant arising from rth order statistics are derived. The properties of concomitant arising from the corresponding order statistics are used to derive these results. The exact expression for moment generating function (mgf) of concomitant of order rth statistics is derived. Also, the mean of concomitant arising from rth order statistics is computed using the mgf of concomitant of rth order statistics, and the exact expression for joint density of concomitant of two non-adjacent order statistics are derived.
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页数:19
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