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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.

Improved Estimators for Simple Random Sampling and Stratified Random Sampling under Second Order of Approximation

88%

Sharma P.

Statistics in Transition new series

2014

vol. 15

issue 3

379-390

Singh and Solanki (2012) and Koyuncu (2012) proposed estimators for estimating population meanY. Up to the first order of approximation and under optimum conditions, the minimum mean squared error of both the estimators is equal to the MSE of the regression estimator. In this paper, we have tried to find out the second order biases and mean square errors of these estimators using information on auxiliary variable based on simple random sampling. Finally, we have compared the performance of these estimators with some numerical illustration.

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2 Statistics in Transition new series

1 Chatterjee S.

1 Sharma P.

1 Singh H. P.

1 Upadhyaya L. N.

1 Yadav R.

1 2014

1 2012

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Almost Unbiased Ratio and Product Type Exponential Estimators

Improved Estimators for Simple Random Sampling and Stratified Random Sampling under Second Order of Approximation