On order statistics from Laplace-type distributions

被引：0
|
作者：
Aly, Emad-Eldin A. A. [1 ]
机构：
[1] Kuwait Univ, Dept Stat & Operat Res, POB 5969, Safat 13060, Kuwait
来源：
STATISTICS & PROBABILITY LETTERS | 2020年 / 160卷
关键词：
The random sign mixture transformation; Moments and product moments of order statistics; MOMENTS;
D O I：
10.1016/j.spl.2020.108706
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：
We obtain the probability density function (pdf) of a single order statistic (OS) and the joint pdf of two OS based on a random sample {Z(i)}(i=1)(n) from Z = UX - (1 - U)Y , where U, X and Y are independent with U similar to Bernoulli (beta). We drive formulas for calculating the moments and the product moments of OS based on {Z(i)}(i=1)(n). We apply the obtained results to the important class of Double distributions. This class includes the Double Exponential, the Double Logistic and the Double Pareto distributions. (C) 2020 Elsevier B.V. All rights reserved.
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页数：10
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