Efficient estimators  of population mean using auxiliary information under simple random sampling

Mir  Subzar; Showkat  Maqbool; Tariq Ahmad  Raja; Surya Kant  Pal; Prayas  Sharma

doi:https://doi.org/10.21307/stattrans-2018-013

Efficient estimators of population mean using auxiliary information under simple random sampling

Mir Subzar Division of Agricultural Statistics, SKUAST-K Shalimar, Srinagar-190025, Kashmir, India , Showkat Maqbool Division of Agricultural Statistics, SKUAST-K Shalimar, Srinagar-190025, Kashmir, India , Tariq Ahmad Raja Division of Agricultural Statistics, SKUAST-K Shalimar, Srinagar-190025, Kashmir, India , Surya Kant Pal School of Studies in Statistics, Vikram University, Ujjain-456010, Madhya Pradesh P., India. , Prayas Sharma Department of Decision Sciences, School of Business, UPES, Dehradun, India. Statistics in Transition new series, vol. 19, 2018, 2, pages: 219-238 Published online: 1 June 2018 https://doi.org/10.21307/stattrans-2018-013

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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

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