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Improved Separate Ratio Exponential Estimator for Population Mean Using Auxiliary Information

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Yadav R., Upadhyaya L. N., Singh H. P., Chatterjee S.

Statistics in Transition new series

2011

vol. 12

issue 2

401-412

This paper advocates the improved separate ratio exponential estimator for population mean of the study variable y using the information based on auxiliary variable x in stratified random sampling. The bias and mean squared error (MSE) of the suggested estimator have been obtained upto the first degree of approximation. The theoretical and numerical comparisons are carried out to show the efficiency of the suggested estimator over sample mean estimator, usual separate ratio and separate product estimator.

Almost Unbiased Ratio and Product Type Exponential Estimators

100%

Yadav R., Upadhyaya L. N., Singh H. P., Chatterjee S.

Statistics in Transition new series

2012

vol. 13

issue 3

537-550

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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2 Statistics in Transition new series

2 Chatterjee S.

2 Singh H. P.

2 Upadhyaya L. N.

2 Yadav R.

1 2012

1 2011

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Improved Separate Ratio Exponential Estimator for Population Mean Using Auxiliary Information

Almost Unbiased Ratio and Product Type Exponential Estimators