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

Authors : Nursel KOYUNCU

Pages : 181-193

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Publication Date : 2013-07-05

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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.
Keywords : Attribute, auxiliary information, efficiency, exponential ratio estimator, stratified random sampling