An Efficient Class on Linear Combination of Ratio Type Estimators for Estimating the Population Mean

Authors

  • Raj Kumar Gangele Department of Mathematics and Statistics, Dr. Harisingh Gour Vishwavidyalaya (A Central University), Sagar, India
  • Gajendra Kumar Vishwakarma Department of Mathematics & Computing, Indian Institute of Technology (ISM) Dhanbad, Jharkhand, India
  • Shailesh Kumar Choubey Department of Mathematics and Statistics, Dr. Harisingh Gour Vishwavidyalaya (A Central University), Sagar, India

Keywords:

Auxiliary variable, study variable, ratio estimator, mean squared error

Abstract

This paper presents a class of estimators for population mean of a study variable using information on an auxiliary variable in simple random sampling without replacement. The properties of suggested class of estimators have been investigated under large sample approximation. A particular case of the proposed class of estimators has been identified with its mean square error formula. It has been shown that the suggested class of estimator is more efficient than some existing estimators such as usual unbiased estimator, usual ratio estimator, usual product estimator, usual regression estimator, dual to ratio estimator due to Srivenkataramana (1980) and other classes estimators. An empirical study carried out to throw light on the performance of the suggested class of estimators over existing estimators. 

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Published

2022-03-28

How to Cite

Kumar Gangele, R. ., Kumar Vishwakarma, G. ., & Kumar Choubey, S. . (2022). An Efficient Class on Linear Combination of Ratio Type Estimators for Estimating the Population Mean. Thailand Statistician, 20(2), 284–292. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/246341

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