Ratio-cum-product Type Estimators for Rare and Hidden Clustered Population

Rajesh Singh and Rohan Mishra ()
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Rajesh Singh: Banaras Hindu University
Rohan Mishra: Banaras Hindu University

Sankhya B: The Indian Journal of Statistics, 2023, vol. 85, issue 1, No 2, 33-53

Abstract: Abstract The use of multi-auxiliary variables helps in increasing the precision of the estimators, especially when the population is rare and hidden clustered. In this article, four ratio-cum-product type estimators have been proposed using two auxiliary variables under adaptive cluster sampling (ACS) design. The expressions of the mean square error (MSE) of the proposed ratio-cum-product type estimators have been derived up to the first order of approximation and presented along with their efficiency conditions with respect to the estimators presented in this article. The efficiency of the proposed estimators over similar existing estimators have been assessed on four different populations two of which are of the daily spread of COVID-19 cases. The proposed estimators performed better than the estimators presented in this article on all four populations indicating their wide applicability and precision.

Keywords: COVID-19; adaptive cluster sampling; ratio estimator; product estimator; regression estimator; combining estimators.; Primary 62-XX; Secondary 62D05 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13571-022-00298-x

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