文章基本信息

标题：Generalized Semi Exponential Type Estimator under Systematic Sampling
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作者：Muhammad Nouman Qureshi ; Sadia Khalil ; Muhammad Hanif 等
期刊名称：Journal of Statistical Theory and Applications (JSTA)
电子版ISSN：1538-7887
出版年度：2018
卷号：17
期号：2
页码：285-292
DOI：10.2991/jsta.2018.17.2.8
语种：English
出版社：Atlantis Press
摘要：In sample surveys, collection of auxiliary information together with the main variable of interest is very important to increase the efficiency of the estimators of population parameters of interest. Regression and ratio estimation are very popular and are widely used methods that benefit from the use of auxiliary information for the estimation of population parameters like mean, total, variance, proportion etc. A generalized semi-exponential type estimator is proposed in this paper using two auxiliary variables under the framework of systematic sampling. The expressions of approximate bias and mean square error of the proposed estimator have been derived. Algebraic conditions have been obtained under which the proposed estimator is more efficient than the competing estimators considered here. An empirical study has been carried out to show the improvement in efficiency of the proposed estimator as compared to the existing estimators.
关键词：Auxiliary information;Generalized Semi-Exponential type estimator;Systematic Sampling;Mean Square Error;Percentage Relative Efficiency