Families of Estimators for Population Mean Using Information on Auxiliary Attribute in Stratified Random Sampling

Nursel KOYUNCU
1.497 480

Abstract


Grover and Kaur [4], Haq et al. [5], Abd-Elfattah et al. [1], Jhajj et al. [6], Shabbir and Gupta [8] and Koyuncu [7] have suggested some families of estimators by using the known population proportion of elements possessing attribute in the simple random sampling and in the two phase sampling. In this paper, after adapting these families of estimators to the stratified random sampling, we have proposed a family of exponential ratio type estimators which uses the information regarding the population proportion possessing certain attribute. For the proposed family of estimators, the expressions of bias and mean square error (MSE) up to the first order approximations are derived and the optimum case of the proposed family is discussed in theory. Also an empirical study is carried out to show its properties.

Key words: Attribute, auxiliary information, efficiency, exponential ratio estimator, stratified random sampling.


Keywords


Attribute, auxiliary information, efficiency, exponential ratio estimator, stratified random sampling.

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References


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