AN ADROIT SINGH AND MATHUR’S RANDOMIZATION DEVICE FOR ESTIMATING A RARE SENSITIVE ATTRIBUTE USING POISSON DISTRIBUTION

Tanveer Ahmad  Tarray; Housila Prasad  Singh

Tanveer Ahmad Tarray Department of Computer Science and Engineering , Islamic University of Science and Technology, Awantipora, Pulwama, Kashmir, India
Housila Prasad Singh School of Studies in Statistics, Vikram University, Ujjain, India

Keywords: Randomized Response Technique, Estimation Of Proportion, Rare Sensitive Attributes, Variance, Simple Random Sampling

Abstract

This paper presents the problem of estimating the mean of the number of persons possessing a rare sensitive attribute based on Singh and Mathur (2004) randomization device by utilizing the Poisson distribution in survey sampling. Properties of the proposed randomized response model have been studied. It is also shown that the proposed model is more efficient than Land et al. (2011) when the proportion of persons possessing a rare unrelated attribute is known. Numerical illustration is also given in support of the present study.

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