MODELLING SENSITIVE ISSUES ON SUCCESSIVE WAVES

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Statistics in Transition New Series

Polish Statistical Association

Central Statistical Office of Poland

Subject: Economics, Statistics & Probability

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VOLUME 20 , ISSUE 1 (March 2019) > List of articles

MODELLING SENSITIVE ISSUES ON SUCCESSIVE WAVES

Kumari Priyanka / Pidugu Trisandhya

Keywords : Sensitive variable, Successive waves, Scrambled Response model, Class of estimators, Population mean, Bias, Mean squared error, Optimum matching fraction

Citation Information : Statistics in Transition New Series. Volume 20, Issue 1, Pages 41-65, DOI: https://doi.org/10.21307/stattrans-2019-003

License : (CC BY-NC-ND 4.0)

Published Online: 27-May-2019

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ABSTRACT

This paper addresses the problem of estimation of population mean of sensitive character using non-sensitive auxiliary variable at current wave in two wave successive sampling. A general class of estimator is proposed and studied under randomized and scrambled response model. Many existing estimators have been modified to work for sensitive population mean estimation. The modified estimators became the members of proposed general class of estimators. The detail properties of all the estimators have been discussed. Their behaviour under randomized and scrambled response techniques have been elaborated. Numerical illustrations including simulation have been accompanied to judge the performance of different estimators.Finally suitable recommendations are forwarded.

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