On a generalization of the classical random sampling scheme and unbiased estimation

被引：2

作者：

Lumelskii, Ya.

Voinov, V.

Nikulin, M. ^{[1
]}

Feigin, P.

机构：

[1] Univ Bordeaux 2, EA 2961, F-33076 Bordeaux, France

[2] Technion Israel Inst Technol, Fac Ind Engn & Management, IL-32000 Haifa, Israel

[3] Kazakhstan Inst Management Econ & Strateg Res, Dept Operat Management & Informat Syst, Alma Ata, Kazakhstan

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2007年 / 36卷 / 1-4期

关键词：

generalized random sampling scheme; multivariate discrete distributions; multivariate Poisson distribution; multivariate Polya distribution; multivariate negative Polya distribution; probabilities of linear inequalities; unbiased estimators; Wishart distribution;

D O I：

10.1080/03610920601033793

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：

A generalization of the classical random sampling scheme is suggested. Based on the proposed generalization one can derive many new minimum variance unbiased estimators for probabilities, as well as for other functions of unknown parameters, for the multivariate Polya, the multivariate negative Polya, the multinomial, the multivariate hypergeometric, the multivariate Poisson, and the Wishart probability distributions.

引用

页码：693 / 705

页数：13

共 50 条

[1] AN ALGORITHM FOR UNBIASED RANDOM SAMPLING
ERNVALL, J
NEVALAINEN, O
[J]. COMPUTER JOURNAL, 1982, 25 (01): : 45 - 47
[2] AN UNBIASED CORRECTION FOR SAMPLING ERROR IN VALIDITY GENERALIZATION STUDIES
HEDGES, LV
[J]. JOURNAL OF APPLIED PSYCHOLOGY, 1989, 74 (03) : 469 - 477
[3] UNBIASED ESTIMATION OF SAMPLING VARIANCE OF CORRELATIONS
CALLENDER, JC
OSBURN, HG
[J]. JOURNAL OF APPLIED PSYCHOLOGY, 1988, 73 (02) : 312 - 315
[4] VARIANCE BOUND FOR UNBIASED ESTIMATION IN INVERSE SAMPLING
MIKULSKI, PW
SMITH, PJ
[J]. BIOMETRIKA, 1976, 63 (01) : 216 - 217
[5] UNBIASED ESTIMATION IN LINE-INTERCEPT SAMPLING
KAISER, L
[J]. BIOMETRICS, 1983, 39 (04) : 965 - 976
[6] Sampling hypergraphs via joint unbiased random walk
Luo, Qi
Xie, Zhenzhen
Liu, Yu
Yu, Dongxiao
Cheng, Xiuzhen
Lin, Xuemin
Jia, Xiaohua
[J]. WORLD WIDE WEB-INTERNET AND WEB INFORMATION SYSTEMS, 2024, 27 (02):
[7] Sampling hypergraphs via joint unbiased random walk
Qi Luo
Zhenzhen Xie
Yu Liu
Dongxiao Yu
Xiuzhen Cheng
Xuemin Lin
Xiaohua Jia
[J]. World Wide Web, 2024, 27
[8] New families of unbiased estimators in stratified random sampling
Cekim, Hatice Oncel
Kadilar, Cem
[J]. JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS, 2018, 21 (08): : 1481 - 1499
[9] Minmers are a generalization of minimizers that enable unbiased local Jaccard estimation
Kille, Bryce
Garrison, Erik
Treangen, Todd J.
Phillippy, Adam M.
[J]. BIOINFORMATICS, 2023, 39 (09)
[10] AN UNBIASED SAMPLING AND ESTIMATION PROCEDURE FOR CREEL CENSUSES OF FISHERMEN
ROBSON, DS
[J]. BIOMETRICS, 1960, 16 (02) : 261 - 277

← 1 2 3 4 5 →