Estimation Procedures for Population Mean using EWMA for Time Scaled Survey

Prayas Sharma (), Poonam Singh (), Mamta Kumari () and Rajesh Singh ()
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Prayas Sharma: Babasaheb Bhimrao Ambedkar University
Poonam Singh: Banaras Hindu University
Mamta Kumari: Babasaheb Bhimrao Ambedkar University
Rajesh Singh: Banaras Hindu University

Sankhya B: The Indian Journal of Statistics, 2025, vol. 87, issue 1, No 5, 103-128

Abstract: Abstract The primary objective of sample survey is to have an estimate of population parameter. The more is the available information the better is an estimate. In this study, the Exponentially Weighted Moving Average statistic is used to estimate the population mean with auxiliary information. For the purpose of estimating population mean, we have designed a memory type class of estimator. The properties of proposed generalized class of estimators are derived up-to the first order of approximation. To avoid any data dependency on the performance of the proposed estimators, A comprehensive simulation study is presented to evaluate the performance of proposed estimator and to compare the proposed estimator with the existing memory type estimator. The results of the simulation study are supported by an empirical investigation that is provided using data from real world sources.

Keywords: Memory type estimator; Auxiliary variable; Exponentially weighted moving average statistic; Bias; Mean square error; Primary 62D05; Secondary 62-08 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13571-024-00347-7

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