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Gangele, Raj Kumar; Vishwakarma, Gajendra Kumar; Choubey, Shailesh Kumar

An efficient class on linear combination of ratio type estimators for estimating the population mean. (English) Zbl 1486.62021

Thail. Stat. 20, No. 2, 284-292 (2022).
Summary: 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.

MSC:

62D05 Sampling theory, sample surveys

Keywords:

auxiliary variable; study variable; ratio estimator; mean squared error
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References:

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