On the Estimation of Current Population Median in Two-Occasion Rotation Sampling

Mandu Otto Inyang¹ , Etebong Clement²

Section:Research Paper, Product Type: Journal-Paper
Vol.10 , Issue.5 , pp.26-33, Oct-2023

Online published on Oct 31, 2023

Copyright © Mandu Otto Inyang, Etebong Clement . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
It has been observed that most authors addressed their estimation problems in successive sampling based on ideal condition that variable of interest is normally distributed; an assumption that may not always be the case in practical situations. Supposed the normality condition does not hold; and that the variable of interest follows a distribution that is highly skewed; this study is a proposal in this direction. This paper deals with problem of estimating the current population median in two-occasion rotation sampling; using the convex combination of two estimators; one based on u units drawn afresh at the current occasion and the other based on m units retained from the previous occasion. The bias and Mean Square Error (MSE) as well as Optimal Replacement Policy are formulated for the proposed estimator. The empirical study conducted to validate the efficacy of the new proposal proved its dominances over existing estimators under review.

Key-Words / Index Term :
convex combination, efficiency, measure of central tendency, normality assumption, optimal replacement policy, outliers, successive sampling

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