A General Family of Estimators for Estimating Population Mean Using Known Value of Some Population Parameter(s)
arXiv:math/0701243
Abstract
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.
11 pages
Cited by in corpus (4)
- Auxiliary Information and A Priori Values in Construction of Improved Estimators
- Improved Family of Estimators of Population Mean in Simple Random Sampling
- A General Family of Estimators for Estimating Population Mean in Systematic Sampling Using Auxiliary Information in the Presence of Missing Observations
- Some Improved Estimators In Systematic Sampling Under Non-response