EFFICIENT ESTIMATORS OF POPULATION MEAN USING AUXILIARY INFORMATION UNDER SIMPLE RANDOM SAMPLING

Subzar Mir, Maqbool Showkat, Raja Tariq Ahmad, Pal Surya Kant and Sharma Prayas ()
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Raja Tariq Ahmad: Division of Agricultural Statistics, SKUAST-K Shalimar, Srinagar, 190025, Kashmir, India .
Pal Surya Kant: School of Studies in Statistics, Vikram University, Ujjain, 456010, Madhya Pradesh P., India .
Sharma Prayas: Department of Decision Sciences, School of Business, UPES, Dehradun, India .

Statistics in Transition New Series, 2018, vol. 19, issue 2, 219-238

Abstract: In the present study we have proposed an improved family of estimators for estimation of population mean using the auxiliary information of median, quartile deviation, Gini’s mean difference, Downton’s Method, Probability Weighted Moments and their linear combinations with correlation coefficient and coefficient of variation. The performance of the proposed family of estimators is analysed by mean square error and bias and compared with the existing estimators in the literature. By this comparison we conclude that our proposed family of estimators is more efficient than the existing estimators. To support the theoretical results, we also provide the empirical study.

Keywords: Auxiliary information; Bias; Mean Square Error; Simple Random Sampling; Efficiency.; 62D05 (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:19:y:2018:i:2:p:219-238:n:7

DOI: 10.21307/stattrans-2018-013

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