Separate Ratio-type Estimators of Population Mean in Stratified Random Sampling
Rajesh Tailor, Hilal A. Lone
Abstract
Open-access reader
Rajesh Tailor, Hilal A. Lone
Abstract
Open-access reader
Separate ratio-type estimators for population mean with their properties are considered. Some separate ratio-type estimators for population mean using known parameters of auxiliary variate are proposed. The bias and mean squared error of the proposed estimators are obtained up to the first degree of approximation. It is shown that the proposed estimators are more efficient than unbiased estimators in stratified random sampling and usual separate ratio estimators under certain obtained conditions. To judge the merits of the proposed estimators, an empirical study was conducted.
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Separate ratio-type estimators for population mean with their properties are considered. Some separate ratio-type estimators for population mean using known parameters of auxiliary variate are proposed. The bias and mean squared error of the proposed estimators are obtained up to the first degree of approximation. It is shown that the proposed estimators are more efficient than unbiased estimators in stratified random sampling and usual separate ratio estimators under certain obtained conditions. To judge the merits of the proposed estimators, an empirical study was conducted.
Key concepts: Mathematics, Statistics, Population mean, Stratified sampling, Estimator, Ratio estimator, Type (biology), Sampling (signal processing)