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Open AccessArticle10.59170/stattrans-2012-038

Almost unbiased ratio and product type exponential estimators

Rohini Yadav,Lakshmi N. Upadhyaya,Housila P. Singh,Shuvam Chatterjee-2013-09-03-Statistics in Transition New Series

TL;DRAbstract

This paper considers the problem of estimating the population mean Y of the study variate y using information on auxiliary variate x. We have suggested a generalized version of Bahl and Tuteja (1991) estimator and its properties are studied. It is found that asymptotic optimum estimator (AOE) in the proposed generalized version of Bahl and Tuteja (1991) estimator is biased. In some applications, biasedness of an estimator is disadvantageous. So applying the procedure of Singh and Singh (1993) we derived an almost unbiased version of AOE. A numerical illustration is given in the support of the present study.

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This paper considers the problem of estimating the population mean Y of the study variate y using information on auxiliary variate x. We have suggested a generalized version of Bahl and Tuteja (1991) estimator and its properties are studied. It is found that asymptotic optimum estimator (AOE) in the proposed generalized version of Bahl and Tuteja (1991) estimator is biased. In some applications, biasedness of an estimator is disadvantageous. So applying the procedure of Singh and Singh (1993) we derived an almost unbiased version of AOE. A numerical illustration is given in the support of the present study.

Keywords

StatisticsMathematicsEstimatorExponential functionProduct (mathematics)EconometricsType (biology)Applied mathematics

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