A chain ratio-type exponential estimator for population mean in double sampling

Nirupama Sahoo; Sananda Kumar Jhankar

doi:https://doi.org/10.59170/stattrans-2024-004

A chain ratio-type exponential estimator for population mean in double sampling

Nirupama Sahoo Gangadhar Meher University, Amruta Vihar, Sambalpur, Odisha, India ORCID:https://orcid.org/0000-0002-3244-3557 , Sananda Kumar Jhankar Gangadhar Meher University, Amruta Vihar, Sambalpur, Odisha, India Statistics in Transition new series, vol. 25, 2024, 1, pages: 63-76 Published online: 6 March 2024 https://doi.org/10.59170/stattrans-2024-004

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ABSTRACT

In this paper we have proposed an efficient ratio-type exponential estimator for estimating the population mean of the study variable, by incorporating two auxiliary variables in twophase (double) sampling. The bias and the mean square error of the proposed estimator have been obtained up to the first order of approximation. The newly proposed estimator offers more precision in comparison to other competing estimators, theoretically as well as empirically, by considering a known value of some population parameter.

KEYWORDS

two-phase sampling, auxiliary variables, study variable, bias, mean square error, percent relative efficiency

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