A note on UMVU-estimation under randomized response model

被引：0
|
作者：
Mukhopadhyay, P [1 ]
机构：
[1] INDIAN STAT INST,CALCUTTA 700035,W BENGAL,INDIA
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1997年 / 26卷 / 10期
关键词：
ordered design; uniformly minimum variance unbiased estimation; symmetric population function;
D O I：
10.1080/03610929708832056
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：
Considering a class of randomized response trials for eliciting sensitive information from a sample survey and a class of ordered sampling designs, a uniformly minimum variance unbiased estimator of population variance (of the sensitive character) has been obtained. This note indicates that a theorem (theorem 3.9) of Cassel, Sarndal and Wretman (1917) and the results in the present note can be extended to estimation of any symmetric function of population values in the held of direct response surveys and randomized response surveys respectively.
引用
收藏
页码：2415 / 2420
页数：6
相关论文
共 50 条
  • [41] Parameter Estimation in Stratified Cluster Sampling under Randomized Response Models for Sensitive Question Survey
    Pu, Xiangke
    Gao, Ge
    Fan, Yubo
    Wang, Mian
    [J]. PLOS ONE, 2016, 11 (02):
  • [42] Sample Size Determination for Interval Estimation of the Prevalence of a Sensitive Attribute Under Randomized Response Models
    Shi-Fang Qiu
    Man-Lai Tang
    Ji-Ran Tao
    Ricky S. Wong
    [J]. Psychometrika, 2022, 87 : 1361 - 1389
  • [43] A Note of Proposed Privacy Measures in Randomized Response Models
    Hong Zhimin
    Yan Zaizai
    Wei Lidong
    [J]. COMBINING SOFT COMPUTING AND STATISTICAL METHODS IN DATA ANALYSIS, 2010, 77 : 635 - +
  • [44] NOTE ON THE ESTIMATION OF THE ADAPTIVE REGRESSION-MODEL
    REINSEL, G
    [J]. INTERNATIONAL ECONOMIC REVIEW, 1979, 20 (01) : 193 - 202
  • [45] NOTE ON ESTIMATION OF PARAMETERS IN A BERNOULLI MODEL WITH DEPENDENCE
    DEVORE, JL
    [J]. ANNALS OF STATISTICS, 1976, 4 (05): : 990 - 992
  • [46] THE HOTELLING MODEL UNDER UNCERTAINTY - A NOTE
    FISHELSON, G
    [J]. RESOURCES AND ENERGY, 1990, 12 (04): : 353 - 359
  • [47] NOTE ON ESTIMATION OF PRODUCTION FUNCTIONS UNDER STRUCTURAL DISEQUILIBRIUM
    BOSE, S
    [J]. ECONOMETRICA, 1971, 39 (04) : 274 - &
  • [48] On the mean and variance of response times under the diffusion model with an application to parameter estimation
    Grasman, Raoul P. P. P.
    Wagenmakers, Eric-Jan
    van der Maas, Han L. J.
    [J]. JOURNAL OF MATHEMATICAL PSYCHOLOGY, 2009, 53 (02) : 55 - 68
  • [49] A NOTE ON THE ESTIMATION OF ECONOMIC VALUES FOR SELECTION INDEXES - A RESPONSE
    MELTON, BE
    WILLHAM, RL
    HEADY, EO
    [J]. ANIMAL PRODUCTION, 1994, 59 : 455 - 459
  • [50] A mixed randomized response model
    Kim, JM
    Warde, WD
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2005, 133 (01) : 211 - 221
12345