Explicit and asymptotic formulae for the expected values of the order statistics of the Cantor distribution

被引：4

作者：

Knopfmacher, A

Prodinger, H

机构：

[1] UNIV WITWATERSRAND,DEPT COMPUTAT & APPL MATH,JOHANNESBURG 2050,SOUTH AFRICA

[2] VIENNA TECH UNIV,DEPT ALGEBRA & DISCRETE MATH,A-1040 VIENNA,AUSTRIA

来源：

STATISTICS & PROBABILITY LETTERS | 1996年 / 27卷 / 02期

关键词：

order statistics; alternating sums; Bernoulli numbers; Rice's method;

D O I：

10.1016/0167-7152(95)00063-1

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 derive the exact solution to a recurrence relation obtained by Hosking for the expected value of the minimum order statistic of the Cantor distribution. In addition, we indicate how an asymptotic estimate can be derived for this and similar sums involving binomial coefficients and Bernoulli numbers.

引用

页码：189 / 194

页数：6

共 50 条

[41] On asymptotic distribution of order statistics for a homogeneous Markov chain with bivariate Weibull distribution
Vestn Mosk Univ Ser 15 Mat Kibern, 3 (39-44):
[42] ASYMPTOTIC INDEPENDENCE OF CERTAIN STATISTICS CONNECTED WITH EXTREME ORDER-STATISTICS IN BIVARIATE DISTRIBUTION
SRIVASTA.OP
ANNALS OF MATHEMATICAL STATISTICS, 1964, 35 (01): : 459 - &
[43] CHARACTERIZATIONS OF CONTINUOUS DISTRIBUTIONS VIA EXPECTED VALUES OF 2 FUNCTIONS OF ORDER-STATISTICS
LIN, GD
SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A, 1990, 52 : 84 - 90
[44] Characterizations of Rayleigh Distribution Based on Order Statistics and Record Values
Ahsanullah, M.
Shakil, M.
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (03) : 625 - 635
[45] Asymptotic comparison of two fuzzy expected values
Montenegro, M
Casals, MR
Gil, MA
PROCEEDINGS OF THE FIFTH JOINT CONFERENCE ON INFORMATION SCIENCES, VOLS 1 AND 2, 2000, : 150 - 153
[46] ASYMPTOTIC DISTRIBUTION OF LINEAR COMBINATIONS OF FUNCTIONS OF ORDER STATISTICS WITH APPLICATIONS TO ESTIMATION
CHERNOFF, H
GASTWIRTH, JL
JOHNS, MV
ANNALS OF MATHEMATICAL STATISTICS, 1967, 38 (01): : 52 - +
[47] Tight bounds on expected order statistics
Sloan School of Management and Operations Research Center, Massachusetts Institute of Technology, Cambridge, MA 02139, United States
不详
不详
Probab. Eng. Inf. Sci., 2006, 4 (667-686):
[48] Tight bounds on expected order statistics
Bertsimas, Dimitris
Natarajan, Karthik
Teo, Chung-Piaw
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2006, 20 (04) : 667 - 686
[49] Inequalities for expected extreme order statistics
de la Cal, J
Cárcamo, J
STATISTICS & PROBABILITY LETTERS, 2005, 73 (03) : 219 - 231
[50] Bounds on expected generalized order statistics
Goroncy, Agnieszka
STATISTICS, 2014, 48 (03) : 593 - 608

← 1 2 3 4 5 →