Dealing sensitive characters on successive occasions through a general class of estimators using scrambled response techniques

Kumari Priyanka (), Pidugu Trisandhya () and Richa Mittal ()
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Kumari Priyanka: University of Delhi
Pidugu Trisandhya: University of Delhi
Richa Mittal: NIT Calicut

METRON, 2018, vol. 76, issue 2, No 4, 203-230

Abstract: Abstract Present article endeavours to propose a general class of estimators to estimate population mean of a sensitive character using non-sensitive auxiliary information under five different scrambled response models in two occasions successive sampling. Various well-known estimators have been modified for the estimation of sensitive population mean and hence they also become a member of proposed general class of estimators. Properties of proposed class of estimators have been derived and checked empirically while comparing the proposed class of estimators with respect to modified Jessen (Iowa Agric Exp Stn Res Bull 304:1–104, 1942) type estimator and modified Singh (Stat Transit 7(1):21–26, 2005) type estimator under five different scrambled response models. The effectiveness of different models has been discussed while comparing it with the direct questioning methods. A model for optimum total cost has also been proposed. Privacy protection has been elaborated for all considered models. Numerical illustrations including simulation studies are abundant to the theoretical results. Finally suitable recommendations are forwarded.

Keywords: Successive sampling; Scrambled response model; Sensitive character; Class of estimators; Population mean; Bias; Mean squared error; Optimum replacement policy; 62D05 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s40300-017-0131-1

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