General Mathematics

    

Study of Some Improved Ratio Type Estimators Under Second Order Approximation

Authors: Prayas Sharma, Rajesh Singh, Florentin Smarandache

Chakrabarty (1979), Khoshnevisan et al. (2007), Sahai and Ray (1980), Ismail et al. (2011) and Solanki et al. (2012) proposed estimators for estimating population mean Y. Up to the first order of approximation and under optimum conditions, the minimum mean squared error (MSE) of all the above estimators is equal to the MSE of the regression estimator. In this paper, we have tried to found 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.

Comments: 18 Pages.

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[v1] 2016-09-13 04:47:19

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