A novel approach for estimation Population Mean with Dual Use of in Stratified Random Sampling

This study examines a new set of estimators using stratified random sampling to estimate the finite population mean. The research forms a comprehensive class of estimators by using additional data from extremely thoroughly correlated auxiliary variables. The properties of these estimators, including...

Full description

Saved in:
Bibliographic Details
Main Authors: Mohammed R. Alzahrani, Mohammed Almohaimeed
Format: Article
Language:English
Published: Elsevier 2025-04-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016825000870
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832573208223547392
author Mohammed R. Alzahrani
Mohammed Almohaimeed
author_facet Mohammed R. Alzahrani
Mohammed Almohaimeed
author_sort Mohammed R. Alzahrani
collection DOAJ
description This study examines a new set of estimators using stratified random sampling to estimate the finite population mean. The research forms a comprehensive class of estimators by using additional data from extremely thoroughly correlated auxiliary variables. The properties of these estimators, including their biases and mean square errors, have been rigorously analyzed via numerical and simulation contemplation. As compared to the existing estimators, our suggested ones are more efficient and have a reduced minimum mean square error (MSE). These indicate that it is functioning adequately. Our proposed estimator is the most effective, according to a comparison study with other methods already in use. The results of this investigation will be useful for improving survey sampling methods in the future.
format Article
id doaj-art-497c5c90863d425ea49a71b6bf0e8b73
institution Kabale University
issn 1110-0168
language English
publishDate 2025-04-01
publisher Elsevier
record_format Article
series Alexandria Engineering Journal
spelling doaj-art-497c5c90863d425ea49a71b6bf0e8b732025-02-02T05:26:52ZengElsevierAlexandria Engineering Journal1110-01682025-04-011196472A novel approach for estimation Population Mean with Dual Use of in Stratified Random SamplingMohammed R. Alzahrani0Mohammed Almohaimeed1Departmental of Psychology Faculty of Education Umm Al-Qura University, Saudi Arabia; Corresponding author.Departmental of Educational Psychology Faculty of Education Taibah University, Saudi ArabiaThis study examines a new set of estimators using stratified random sampling to estimate the finite population mean. The research forms a comprehensive class of estimators by using additional data from extremely thoroughly correlated auxiliary variables. The properties of these estimators, including their biases and mean square errors, have been rigorously analyzed via numerical and simulation contemplation. As compared to the existing estimators, our suggested ones are more efficient and have a reduced minimum mean square error (MSE). These indicate that it is functioning adequately. Our proposed estimator is the most effective, according to a comparison study with other methods already in use. The results of this investigation will be useful for improving survey sampling methods in the future.http://www.sciencedirect.com/science/article/pii/S1110016825000870Stratified random samplingDistribution FunctionPREsNew set of estimatorsMean Estimation
spellingShingle Mohammed R. Alzahrani
Mohammed Almohaimeed
A novel approach for estimation Population Mean with Dual Use of in Stratified Random Sampling
Alexandria Engineering Journal
Stratified random sampling
Distribution Function
PREs
New set of estimators
Mean Estimation
title A novel approach for estimation Population Mean with Dual Use of in Stratified Random Sampling
title_full A novel approach for estimation Population Mean with Dual Use of in Stratified Random Sampling
title_fullStr A novel approach for estimation Population Mean with Dual Use of in Stratified Random Sampling
title_full_unstemmed A novel approach for estimation Population Mean with Dual Use of in Stratified Random Sampling
title_short A novel approach for estimation Population Mean with Dual Use of in Stratified Random Sampling
title_sort novel approach for estimation population mean with dual use of in stratified random sampling
topic Stratified random sampling
Distribution Function
PREs
New set of estimators
Mean Estimation
url http://www.sciencedirect.com/science/article/pii/S1110016825000870
work_keys_str_mv AT mohammedralzahrani anovelapproachforestimationpopulationmeanwithdualuseofinstratifiedrandomsampling
AT mohammedalmohaimeed anovelapproachforestimationpopulationmeanwithdualuseofinstratifiedrandomsampling
AT mohammedralzahrani novelapproachforestimationpopulationmeanwithdualuseofinstratifiedrandomsampling
AT mohammedalmohaimeed novelapproachforestimationpopulationmeanwithdualuseofinstratifiedrandomsampling