论文信息 - A General Family of Estimators for Estimating Population Mean Using Known Value of Some Population Parameter(s)

A General Family of Estimators for Estimating Population Mean Using Known Value of Some Population Parameter(s)

A general family of estimators for estimating the population mean of the variable under study, which make use of known value of certain population parameter(s), is proposed. Under Simple Random Sampling Without Replacement (SRSWOR) scheme, the expressions of bias and mean-squared error (MSE) up to first order of approximation are derived. Some well known estimators have been shown as particular member of this family. An empirical study is carried out to illustrate the performance of the constructed estimator over others.

[1] C. T. Isaki,et al. Variance Estimation Using Auxiliary Information , 1983 .

[2] Donald T. Searls,et al. A Note on an Estimator for the Variance That Utilizes the Kurtosis , 1990 .

[3] Donald T. Searls,et al. The Utilization of a Known Coefficient of Variation in the Estimation Procedure , 1964 .

[4] Cem Kadilar,et al. Ratio estimators for the population variance in simple and stratified random sampling , 2006, Appl. Math. Comput..

[5] K. Hirano,et al. On the utilization of a known coefficient of kurtosis in the estimation procedure of variance , 1973 .

[6] Housila P. Singh,et al. Use of Transformed Auxiliary Variable in Estimating the Finite Population Mean , 1999 .

[7] A. R. Sen. Estimation of the population mean when the coefficient of variation is known , 1978 .

[8] Naurang Singh Mangat,et al. Ratio and Product Methods of Estimation , 1996 .