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Characterizations of Exponential Distribution Based on Two-Sided Random Shifts
被引：0
作者：
Santanu Chakraborty
George P. Yanev
机构：
[1] The University of Texas Rio Grande Valley,School of Mathematical and Statistical Sciences
来源：
Journal of Statistical Theory and Applications
|
2018年
/
17卷
/
3期
关键词：
characterization;
exponential distribution;
order statistics;
random shifts;
D O I：
10.2991/jsta.2018.17.3.2
中图分类号：
学科分类号：
摘要：
A new characterization of the exponential distribution is obtained. It is based on an equation involving randomly shifted (translated) order statistics. No specific distribution is assumed for the shift random variables. The proof uses a recently developed technique including the Maclaurin series expansion of the probability density of the parent variable.
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页码：408 / 418
页数：10
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