A new randomized response device for sensitive characteristics: an application of the negative hypergeometic distribution

In this paper, a new randomized response device is proposed based on the use of negative hypergeometric distribution while estimating the proportion of persons possessing a sensitive characteristic in a population. Situations where the proposed randomization device can perform better than the Warner (J Am Stat Assoc 60, 63–69, <CitationRef CitationID="CR5">1965</CitationRef>), the Kuk (Biomerika 77(2), 436–438, <CitationRef CitationID="CR1">1990</CitationRef>) and the Mangat (J R Statist Soc B 56, 93–95, <CitationRef CitationID="CR3">1994</CitationRef>) estimators are simulated and discussed. Copyright Sapienza Università di Roma 2013