Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Utilization of Priori Information in the Estimation of Population Mean for Time-Based Surveys

Utilization of Priori Information in the Estimation of Population Mean for Time-Based Surveys Use of a priori information is very common at an estimation stage to form an estimator of a population parameter. Estimation problems can lead to more accurate and efficient estimates using prior information. In this study, we utilized the information from the past surveys along with the information available from the current surveys in the form of a hybrid exponentially weighted moving average to suggest the estimator of the population mean using a known coefficient of variation of the study variable for time-based surveys. We derived the expression of the mean square error of the suggested estimator and established the mathematical conditions to prove the efficiency of the suggested estimator. The results showed that the utilization of information from past surveys and current surveys excels the estimator's efficiency. A simulation study and a real-life example are provided to support using the suggested estimator. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Data Science Springer Journals

Utilization of Priori Information in the Estimation of Population Mean for Time-Based Surveys

Kumar, Sanjay; Chhaparwal, Priyanka
Annals of Data Science , Volume OnlineFirst – Jun 5, 2023
Download PDF
11 pages

Loading next page...
 
/lp/springer-journals/utilization-of-priori-information-in-the-estimation-of-population-mean-9jTs00bFQ1

References (20)

Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
ISSN
2198-5804
eISSN
2198-5812
DOI
10.1007/s40745-023-00472-6
Publisher site
See Article on Publisher Site

Abstract

Use of a priori information is very common at an estimation stage to form an estimator of a population parameter. Estimation problems can lead to more accurate and efficient estimates using prior information. In this study, we utilized the information from the past surveys along with the information available from the current surveys in the form of a hybrid exponentially weighted moving average to suggest the estimator of the population mean using a known coefficient of variation of the study variable for time-based surveys. We derived the expression of the mean square error of the suggested estimator and established the mathematical conditions to prove the efficiency of the suggested estimator. The results showed that the utilization of information from past surveys and current surveys excels the estimator's efficiency. A simulation study and a real-life example are provided to support using the suggested estimator.

Journal

Annals of Data Science – Springer Journals

Published: Jun 5, 2023

Keywords: Time-based survey; Prior information; HEWMA; Coefficient of variation; Simulation study

There are no references for this article.