AN ALTERNATIVE DERIVATION OF ASYMPTOTIC NORMALITY FOR SAMPLE QUANTILES

被引：1

作者：

ANGUS, JE

机构：

[1] Claremont Graduate Sch, Claremont, CA

来源：

SIAM REVIEW | 1992年 / 34卷 / 02期

关键词：

ORDER STATISTICS; LARGE SAMPLE THEORY; DELTA-RULE;

D O I：

10.1137/1034053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A derivation of the asymptotic normality of sample quantiles, under the usual regularity conditions, is presented. The derivation is unique in that it employs two basic methods of analysis that are important and highly useful to applied probabilists and statisticians: the "delta rule" and "equal-in-distribution" technique

引用

页码：304 / 306

页数：3

共 50 条

[21] Asymptotic properties of numbers of observations near sample quantiles
Iliopoulos, G.
Dembinska, A.
Balakrishnan, N.
STATISTICS, 2012, 46 (01) : 85 - 97
[22] ASYMPTOTIC DISTRIBUTION OF SAMPLE QUANTILES FOR EXCHANGEABLE RANDOM VARIABLES
CHANDA, KC
CALCUTTA STATISTICAL ASSOCIATION BULLETIN, 1971, 20 (80): : 135 - 142
[23] ASYMPTOTIC NORMALITY OF A NONPARAMETRIC ESTIMATOR OF SAMPLE COVERAGE
Zhang, Cun-Hui
Zhang, Zhiyi
ANNALS OF STATISTICS, 2009, 37 (5A): : 2582 - 2595
[24] ASYMPTOTIC JOINT DISTRIBUTION OF AN INCREASING NUMBER OF SAMPLE QUANTILES
WEISS, L
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1969, 21 (02) : 257 - &
[25] Asymptotic properties of sample quantiles from a finite population
Arindam Chatterjee
Annals of the Institute of Statistical Mathematics, 2011, 63 : 157 - 179
[26] ASYMPTOTIC NORMALITY OF SAMPLE MODE OF MULTIVARIATE DISTRIBUTIONS
KONAKOV, VD
TEORIYA VEROYATNOSTEI I YEYE PRIMENIYA, 1973, 18 (04): : 836 - 842
[27] ASYMPTOTIC NORMALITY OF EXTREMUM OF CERTAIN SAMPLE FUNCTIONS
SEN, PK
BHATTACHARYYA, BB
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1976, 34 (02): : 113 - 118
[28] ASYMPTOTIC PROPERTIES OF THE BALANCED REPEATED REPLICATION METHOD FOR SAMPLE QUANTILES
SHAO, J
WU, CFJ
ANNALS OF STATISTICS, 1992, 20 (03): : 1571 - 1593
[29] ASYMPTOTIC DISTRIBUTION OF SAMPLE QUANTILES FOR EXCHANGEABLE RANDOM-VARIABLES
CHANDA, KC
CALCUTTA STATISTICAL ASSOCIATION BULLETIN, 1972, 20 (80): : 135 - &
[30] Asymptotic normality of the sample covariances of evanescent fields in noise
Kliger, Mark
Francos, Joseph M.
2005 IEEE/SP 13th Workshop on Statistical Signal Processing (SSP), Vols 1 and 2, 2005, : 535 - 539

← 1 2 3 4 5 →