A general procedure for estimating population variance in successive sampling using fuzzy tools

Year 2017, Volume: 46 Issue: 4, 695 - 712, 01.08.2017

A. Chatterjee G.n. Singh A. Bandyopadhyay P. Mukhopadhyay

Abstract

This paper defines a general class of estimators for estimating population variance on current occasion in two occasion successive sampling.
Detail behaviors of the proposed class of estimators have been studied and its optimum replacement strategy has also been discussed. The proposed class of estimators has been compared with the sample variance estimator and the results obtained are demonstrated through empirical studies. Categorization of the dominance ranges of the proposed estimation strategies are deployed through defuzzication tools which are followed by suitable recommendations.

Keywords

Variance estimation, successive sampling, fuzzy applications, study variable, auxiliary variable, bias, mean square error

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