An Estimation of Sensitive Proportion Utilizing Higher Order Moments of Auxiliary Variable
Zawar Hussain* and Javid Shabbir*

Abstract
To estimate the population proportion of a stigmatizing attribute use of auxiliary information in randomized response studies is rarely seen except a few studies including Zaizai (2006) and Diana and Perri (2009, 2010). Further, the use of higher order moments of auxiliary variable has not been made in the estimation of proportion of a stigmatizing attribute. To the best of our information there exists only one study by Singh and Chen (2009) concerning the estimation of proportion of a sensitive attribute through the use of higher order moments of 1scrambling variable but not the auxiliary (supplementary) information. With this thought of using auxiliary information with higher order moment a general class of estimators of population proportion has been anticipated which works outstandingly well than the most recent class recommended by Diana and Perri (2009).

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