2018Burapha Science Journal (วารสารวิทยาศาสตร์บูรพา )Requires access

Estimator of Population Mean in Stratified Random Sampling : Searls Approach

Narupon Wongcharoensanti, Jirawan Jitthavech, Vichit Lorchirachoonkul

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Abstract

The study proposes two new population mean estimators using the coefficient of variation in stratified random sampling without replacement. The first estimator without an auxiliary variable is developed from Searls estimator and the second estimator is a ratio estimator developed from Jitthavech and Lorchirachoonkul ratio estimator. The conditions for the efficiency of the first proposed estimator higher than the conventional estimator without auxiliary variable and for the efficiency of the second proposed estimator higher than the conventional separate ratio estimator are also analyzed. The simulation confirms the consistency of the two conditions. Moreover, it can be concluded from the simulation that the efficiency of the second estimator is higher than the separate ratio estimator developed from Sisodia and Dwivedi ratio estimator with the lower biases. Keywords: Searls estimator, Jitthavech and Lorchirachoonkul ratio estimator, stratified random sampling without  replacement, relative efficiency.

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What this paper is about

The study proposes two new population mean estimators using the coefficient of variation in stratified random sampling without replacement. The first estimator without an auxiliary variable is developed from Searls estimator and the second estimator is a ratio estimator developed from Jitthavech and Lorchirachoonkul ratio estimator. The conditions for the efficiency of the first proposed estimator higher than the conventional estimator without auxiliary variable and for the efficiency of the second proposed estimator higher than the conventional separate ratio estimator are also analyzed. The simulation confirms the consistency of the two conditions. Moreover, it can be concluded from the simulation that the efficiency of the second estimator is higher than the separate ratio estimator developed from Sisodia and Dwivedi ratio estimator with the lower biases. Keywords: Searls estimator, Jitthavech and Lorchirachoonkul ratio estimator, stratified random sampling without  replacement, relative efficiency.

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Available abstract

The study proposes two new population mean estimators using the coefficient of variation in stratified random sampling without replacement. The first estimator without an auxiliary variable is developed from Searls estimator and the second estimator is a ratio estimator developed from Jitthavech and Lorchirachoonkul ratio estimator. The conditions for the efficiency of the first proposed estimator higher than the conventional estimator without auxiliary variable and for the efficiency of the second proposed estimator higher than the conventional separate ratio estimator are also analyzed. The simulation confirms the consistency of the two conditions. Moreover, it can be concluded from the simulation that the efficiency of the second estimator is higher than the separate ratio estimator developed from Sisodia and Dwivedi ratio estimator with the lower biases. Keywords: Searls estimator, Jitthavech and Lorchirachoonkul ratio estimator, stratified random sampling without  replacement, relative efficiency.

Key concepts: Trimmed estimator, Minimum-variance unbiased estimator, Efficient estimator, Estimator, Bias of an estimator, Consistent estimator, Stein's unbiased risk estimate, Invariant estimator

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