Corrected estimator of sensitive population proportion using unknown repeated trials in the unrelated question randomized response model

Abstract

In this paper, we have pointed out a major mistake in the research paper of Singh and Mathur [(2004). Unknown repeated trials in the unrelated question randomized response model, Biometrical Journal, 46:375-378]. We have corrected this mistake and proposed the corresponding corrected estimator of sensitive population proportion. Furthermore, we have obtained the variance of our proposed estimator. Likewise, Singh and Mathur, we have also compared the variance of our proposed estimator with that of the Greenberg et al.'s estimator theoretically as well as numerically.

Keywords: binomial distribution; innocuous characteristic; randomization device; randomized response technique; unbiased estimator.