A class of estimators for quantitative sensitive data

被引：86

作者：

Diana, Giancarlo ^{[2
]}

Perri, Pier Francesco ^{[1
]}

机构：

[1] Univ Calabria, Dept Econ & Stat, I-87036 Arcavacata Di Rende, Italy

[2] Univ Padua, Dept Stat Sci, I-35121 Padua, Italy

来源：

STATISTICAL PAPERS | 2011年 / 52卷 / 03期

关键词：

Auxiliary variable; Privacy protection measures; Regression-type estimator; Scrambled responses; Simulation; RANDOMIZED-RESPONSE MODELS;

D O I：

10.1007/s00362-009-0273-1

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：

Randomized response methods for quantitative sensitive data are treated in an unified approach which includes the use of auxiliary information at the estimation stage. A class of estimators for the mean of a sensitive variable is proposed under a generic randomization model and the optimum estimator is obtained. Some special models are discussed in detail. To evaluate the degree of respondents' confidentiality in models using auxiliary variables, a new measure of privacy protection is introduced. Different models are then compared both from the perspective of efficiency and privacy protection.

引用

页码：633 / 650

页数：18

共 31 条

[1]

Allen J., 2001, INTERSTAT

[2]

[Anonymous], P 20 S PRINC DAT SYS

[3] A note on randomized response models for quantitative data [J].

Bar-Lev, SK ;

Bobovitch, E ;

Boukai, B .

METRIKA, 2004, 60 (03) :255-260

[4] Model assisted survey sampling strategies with randomized response [J].

Chaudhuri, A ;

Roy, D .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1997, 60 (01) :61-68

[5]

Chaudhuri A., 1988, RANDOMIZED RESPONSE

[6]

Cochran W.G., 2007, Sampling techniques

[7]

DIANA G, 2007, METRON, V65, P99

[8] Estimating a sensitive proportion through randomized response procedures based on auxiliary information [J].

Diana, Giancarlo ;

Perri, Pier Francesco .

STATISTICAL PAPERS, 2009, 50 (03) :661-672

[9] SCRAMBLED RANDOMIZED-RESPONSE METHODS FOR OBTAINING SENSITIVE QUANTITATIVE DATA [J].

EICHHORN, BH ;

HAYRE, LS .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1983, 7 (04) :307-316

[10] NEW MODEL FOR RANDOMIZED RESPONSE [J].

ERIKSSON, SA .

INTERNATIONAL STATISTICAL REVIEW, 1973, 41 (01) :101-113

← 1 2 3 4 →