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Estimation of Mean in Double Sampling Using Exponential Technique on Multi-auxiliary Variates

作     者:Manish Kumar Gajendra K.Vishwakarma 

作者机构:Centre for Applied MathematicsCentral University of JharkhandBrambe 835205India Department of Applied MathematicsIndian Institute of Technology(ISM)DhanbadDhanbad 826004India 

出 版 物:《Communications in Mathematics and Statistics》 (数学与统计通讯(英文))

年 卷 期:2017年第5卷第4期

页      面:429-445页

核心收录:

学科分类:07[理学] 0714[理学-统计学(可授理学、经济学学位)] 0701[理学-数学] 0812[工学-计算机科学与技术(可授工学、理学学位)] 070101[理学-基础数学] 

主  题:Study variate Auxiliary variate Double sampling Bias MSE 

摘      要:This paper presents exponential-type ratio and product estimators for a finite population mean in double sampling using information on several auxiliary *** proposed estimators can be viewed as a generalization over the estimators suggested by Singh and Vishwakarma(Austrian J Stat 36(3):217–225,2007).The expressions for biases and mean square errors(MSEs)of the proposed estimators have been derived to the first degree of *** addition,the expressions for minimum attainable MSEs are also investigated using the criterion for optimality of the *** empirical study is carried out in the support of the present *** theoretical andempirical findings are encouraging and support thesoundness that the proposed procedures for mean estimation perform better than the usual unbiased estimators and other well-known estimators under some realistic conditions.

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