Admissibility of a variance estimator in finite population sampling under Warner's randomized response plan with multiple responses

作者：Sengupta S^*

来源：Communications in Statistics - Theory and Methods, 2016, 45(19): 5745-5750.

DOI：10.1080/03610926.2014.948208

• Admissibility
• Multiple responses
• Population proportion
• Population variance
• Quadratic unbiased estimator
• Randomized response
• Sampling design

Let P be the proportion of individuals in a finite population possessing a sensitive attribute. We consider the problem of unbiased estimation of (i) the variance of a linear unbiased estimator of P and (ii) the population variance P (1P) for a given probability sampling design under Warner's (1965) randomized response (RR) plan when independent responses are obtained from each sampled individual as many times as he/she is selected in the sample and prove the admissibility of a quadratic unbiased estimator for each.

• 出版日期2016