Bounds of expectations of order statistics for distributions possessing monotone reversed failure rates

被引：0
作者：
Goroncy, Agnieszka [1 ]
Rychlik, Tomasz [2 ]
机构：
[1] Nicolaus Copernicus Univ, Chopina 12-18, PL-87100 Torun, Poland
[2] Polish Acad Sci, Inst Math, Sniadeckich 8, PL-00656 Warsaw, Poland
来源：
METRIKA | 2024年
关键词：
Order statistics; Optimal bound; Convex transform order; Monotone reversed failure rate; RESTRICTED FAMILIES; PROJECTION BOUNDS; MOMENT BOUNDS; SPACINGS; DENSITY; DFR; DD;
D O I：
10.1007/s00184-024-00968-y
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 the literature, the sharp positive upper mean-variance bounds on the expectations of order statistics based on independent identically distributed random variables with the decreasing and increasing failure rates, have been recently presented. In this paper we determine analogous evaluations in the dual cases when the parent distributions have monotone reversed failure rates.
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页码：551 / 575
页数：25
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