Design-based distribution function estimation for stigmatized populations |
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Authors: | Lucio Barabesi Giancarlo Diana Pier Francesco Perri |
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Affiliation: | 1. Department of Economics and Statistics, University of Siena, Piazza San Francesco 7, 53100, Siena, Italy 2. Department of Statistical Sciences, University of Padova, Via Cesare Battisti 241, 35121, Padua, Italy 3. Department of Economics, Statistics and Finance, University of Calabria, Via P. Bucci, 87036, Arcavacata di Rende, Italy
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Abstract: | In this paper, we discuss in a general framework the design-based estimation of population parameters when sensitive data are collected by randomized response techniques. We show in close detail the procedure for estimating the distribution function of a sensitive quantitative variable and how to estimate simultaneously the population prevalence of individuals bearing a stigmatizing attribute and the distribution function for the members belonging to the hidden group. The randomized response devices by Greenberg et al. (J Am Stat Assoc 66:243–250, 1971), Franklin (Commun Stat Theory Methods 18:489–505, 1989), and Singh et al. (Aust NZ J Stat 40:291–297 1998) are here considered as data-gathering tools. |
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