Estimation of the proportion of a sensitive attribute based on a two-stage randomized response model with stratified unequal probability sampling

被引：9

作者：

Lee, Gi-Sung ^{[1
]}

Hong, Ki-Hak ^{[2
]}

Kim, Jong-Min ^{[3
]}

Son, Chang-Kyoon ^{[4
]}

机构：

[1] Woosuk Univ, Dept Children Welf, Wanjugun 565701, Jeonbuk, South Korea

[2] Dongshin Univ, Dept Comp Sci, Naju 520714, Chonnam, South Korea

[3] Univ Minnesota, Div Sci & Math, Morris, MN 56267 USA

[4] Dongguk Univ, Dept Stat & Informat Sci, Gyeongju 780714, Gyeongbuk, South Korea

来源：

BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS | 2014年 / 28卷 / 03期

关键词：

Randomized response model; two-stage model; sensitive attribute; stratified sampling; stratified unequal probability sampling; EFFICIENT USE;

D O I：

10.1214/12-BJPS214

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：

To estimate the proportion of a sensitive attribute of the population that is composed of the number of different sized clusters, we suggest a two-stage randomized response model with unequal probability sampling by using Abdelfatah et al.'s procedure [Braz. J. Probab. Stat. 27 (2013) 608-617]. We compute the estimate of the sensitive parameter, its variance, and the variance estimator for both pps sampling and two-stage equal probability sampling. We extend our model to the case of stratified unequal probability sampling and compute them. Finally, we compare the efficiency of the two estimators, one obtained by unequal probability sampling and the other by stratified unequal probability sampling.

引用

页码：381 / 408

页数：28

共 50 条

[41] Estimation of population proportion of a qualitative character using randomized response technique in stratified random sampling
Singh, Housila P.
Gorey, Swarangi M.
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (04) : 794 - 809
[42] Conditioning post-stratified inference following two-stage, equal-probability sampling
Gregoire, Timothy G.
Ringvall, Anna H.
Stahl, Goran
Naesset, Erik
[J]. ENVIRONMENTAL AND ECOLOGICAL STATISTICS, 2016, 23 (01) : 141 - 154
[43] Revisit of a randomized response model for estimating a rare sensitive attribute under probability proportional to size sampling using Poisson probability distribution
Singh, G. N.
Singh, C.
Suman, S.
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (11) : 2766 - 2786
[44] Conditioning post-stratified inference following two-stage, equal-probability sampling
Timothy G. Gregoire
Anna H. Ringvall
Göran Ståhl
Erik Næsset
[J]. Environmental and Ecological Statistics, 2016, 23 : 141 - 154
[45] A two-stage Land et al.'s randomized response model for estimating a rare sensitive attribute using Poisson distribution
Singh, Housila P.
Tarray, Tanveer A.
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (01) : 389 - 405
[46] Estimation of a sensitive proportion by Warner’s randomized response data through inverse sampling
Arijit Chaudhuri
Mausumi Bose
Kajal Dihidar
[J]. Statistical Papers, 2011, 52 : 343 - 354
[47] Estimation of a sensitive proportion by Warner's randomized response data through inverse sampling
Chaudhuri, Arijit
Bose, Mausumi
Dihidar, Kajal
[J]. STATISTICAL PAPERS, 2011, 52 (02) : 343 - 354
[48] A Probability Proportional to Size Estimation of a Rare Sensitive Attribute Using a Partial Randomized Response Model with Poisson Distribution
Lee, Gi-Sung
Hong, Ki-Hak
Son, Chang-Kyoon
[J]. MATHEMATICS, 2024, 12 (02)
[49] A Two-stage Binary Optional Randomized Response Model
Sihm, Jeong Sep
Gupta, Sat
[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2015, 44 (09) : 2278 - 2296
[50] An improved cluster two-stage randomized response model
Abdelfatah, Sally
Mazloum, Reda
[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2019, 48 (01) : 58 - 72

← 1 2 3 4 5 →