• Article

Estimation of the Distribution Function of a Continuous Type Random Variable Through Randomized Response

In 1965 Stanley Warner [8] illustrated a technique whereby one could estimate from a sample the proportion of persons in a population possessing some characteristic $X$, without pointedly asking the question, 'Do you possess characteristic $X$?'. The present article uses a variation of these ideas suggested by Warner in a later paper [7] to estimate the distribution function of a continuous-type random variable. The technique is illustrated by estimating an income distribution from the responses of a sample of 500 individuals. The potential use of devices of this type in maintaining confidentiality of existing data files is apparent

Citation

Poole, W. (1974). Estimation of the Distribution Function of a Continuous Type Random Variable Through Randomized Response. Journal of the American Statistical Association, 69(348), 1002-1005.