Lobachevskii Journal of Mathematics, Volume (46), No (10), Year (2025-10) , Pages (5385-5397)

Title : ( A Comprehensive Approach to Poststratification for Subpopulation Estimation in Stratified Sampling Design )

Authors: Mostafa Hossaini , Abdolhamid Rezaei Roknabadi , Ahmed Naji Alkinani ,

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Abstract

This paper addresses the problem of subpopulation parameter estimation within the framework of stratified sampling. Instead of relying on additional sampling, we introduce three novel estimators for subpopulation means and totals that leverage poststratification to facilitate effective estimation. These estimators are designed to account for subpopulation heterogeneity and variability. A comprehensive simulation study under various distributional assumptions evaluates the statistical properties of the proposed estimators, including bias and mean squared error. The results provide insights into the statistical behavior of these methods under different conditions and demonstrate their applicability using real-world data from the U.S. Census of Agriculture.

Keywords

finite population poststratificaton subpopulaton ratio estimator
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@article{paperid:1107590,
author = {Hossaini, Mostafa and Rezaei Roknabadi, Abdolhamid and احمد ناجی الکینانی},
title = {A Comprehensive Approach to Poststratification for Subpopulation Estimation in Stratified Sampling Design},
journal = {Lobachevskii Journal of Mathematics},
year = {2025},
volume = {46},
number = {10},
month = {October},
issn = {1995-0802},
pages = {5385--5397},
numpages = {12},
keywords = {finite population poststratificaton subpopulaton ratio estimator},
}

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%0 Journal Article
%T A Comprehensive Approach to Poststratification for Subpopulation Estimation in Stratified Sampling Design
%A Hossaini, Mostafa
%A Rezaei Roknabadi, Abdolhamid
%A احمد ناجی الکینانی
%J Lobachevskii Journal of Mathematics
%@ 1995-0802
%D 2025

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