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

Yıl 2013, Cilt: 26 Sayı: 2, 181 - 193, 05.07.2013

Nursel Koyuncu

Öz

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

Öz

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.

Anahtar Kelimeler

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

Kaynakça

• Abd-Elfattah. A.M.. El-Sherpieny. E.A.. Mohamed. S.M. and Abdou. O.F.. “Improvement in estimating the population mean in simple random sampling using information on auxiliary attribute”. Computation. 215: 4198-4202 (2010). Mathematics and
• Bahl. S.. Tuteja. R.K.. “Ratio and product exponential estimators”. J. Inform. Opt. Sci.. 12(1): 159–164 (1991).
• Çıngı. H.. Kadılar. C.. “Advances in sampling theory-ratio method of estimation”. Bentham Science Publishers. (2009).
• Grover. L.K.. Kaur. P.. “An improved exponential estimator of finite population mean in simple random sampling using an auxiliary attribute”. Applied Mathematics and Computation. 218: 3093-3099 (2011).
• Haq. I.. Hanif. M.. Ahmad. M.. “A family of estimators for single and two-phase sampling using two auxiliary attributes”. Pakistan Journal of Statistics. 27(1): 81-94 (2011).
• Jhajj. H.S.. Sharma. M.K.. Grover. L.K.. “A family of information on auxiliary attribute”. Pakistan Journal of Statistics. 22( 1): 43-50 (2006). using