On characterization of distributions by expected values of order statistics and record values with gap

被引：13

作者：

Franco, M ^{[1
]}

Ruiz, JM ^{[1
]}

机构：

[1] UNIV MURCIA,DEPT MATEMAT APLICADA & ESTADIST,E-30071 MURCIA,SPAIN

来源：

METRIKA | 1997年 / 45卷 / 02期

关键词：

order statistics; order mean function; record values; record mean function; cumulative failure rate function;

D O I：

10.1007/BF02717097

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 obtain some recurrence relationships for conditional expectations of nonadjacent order statistics and record values when the distribution function is absolutely continuous, and we prove that the distribution function is uniquely determined by the distribution of conditioned record values and by the expected values of these records. Further, different distributions are characterized by these relationships.

引用

页码：107 / 119

页数：13

共 50 条

[1] On characterizations of distributions by expected values of order statistics and record values with gap
Manuel Franco
Jose M. Ruiz
[J]. Metrika, 1997, 45 : 107 - 119
[2] CHARACTERIZATION OF DISTRIBUTIONS BY EXPECTED VALUES OF ORDER STATISTICS
HUANG, JS
[J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1975, 27 (01) : 87 - 93
[3] ON A CHARACTERIZATION OF DISTRIBUTIONS BY EXPECTED VALUES OF EXTREME ORDER STATISTICS
CHAN, LK
[J]. AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (08): : 950 - &
[4] On Dual Characterizations of Continuous Distributions in Terms of Expected Values of Two Functions of Order Statistics and Record Values
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[J]. Journal of Mathematical Sciences, 2004, 121 (5) : 2664 - 2673
[5] COMPLETE CONVERGENCE OF DISTRIBUTIONS AND EXPECTED VALUES OF ORDER STATISTICS
NAIR, KA
[J]. ANNALS OF PROBABILITY, 1977, 5 (05): : 826 - 827
[6] THE CHARACTERIZATION OF DISTRIBUTIONS BY ORDER-STATISTICS AND RECORD VALUES - A UNIFIED APPROACH
DEHEUVELS, P
[J]. JOURNAL OF APPLIED PROBABILITY, 1984, 21 (02) : 326 - 334
[7] On distributions of exceedances associated with order statistics and record values for arbitrary distributions
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[J]. Statistical Papers, 2001, 42 : 171 - 185
[8] On distributions of exceedances associated with order statistics and record values for arbitrary distributions
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Kotz, S
[J]. STATISTICAL PAPERS, 2001, 42 (02) : 171 - 185
[9] ON THE DISTRIBUTION OF THE EXPECTED VALUES OF THE ORDER STATISTICS
HOEFFDING, W
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1953, 24 (01): : 93 - 100
[10] EXPECTED VALUES OF NORMAL ORDER STATISTICS
HARTER, HL
[J]. BIOMETRIKA, 1961, 48 (1-2) : 151 - &

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