On Variance Estimation With Applications in Engineering.
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| Title: | On Variance Estimation With Applications in Engineering. |
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| Authors: | Azeem, Muhammad1 (AUTHOR) azeemstats@uom.edu.pk, Salam, Abdul1 (AUTHOR), Ramírez, Franco1 (AUTHOR) franco.ramirez@unican.es |
| Source: | Modelling & Simulation in Engineering. 11/24/2025, Vol. 2025, p1-7. 7p. |
| Subjects: | Minimum variance estimation, Analysis of variance, Statistics, Acquisition of data, Empirical research, Comparative studies, Engineering firms, Time measurements |
| Abstract: | In many fields of engineering, researchers are often interested in analyzing the variation in the values of certain variables such as airtime, tensile strength, air quality, and temperature. In the case of large population sizes, such fluctuations are estimated by observing a small sample from the population of interest and estimating the variance using the sample data. This paper introduces an improved estimator of the population variance by utilizing auxiliary information. Various properties of the suggested variance estimator have been studied. Additionally, to demonstrate the efficiency of the suggested variance estimator, a real‐life data set on airflight time has been used. The comparative analysis suggests that the suggested variance estimator performs better than the competitor variance estimators which makes it the best estimator for real‐world application. [ABSTRACT FROM AUTHOR] |
| Copyright of Modelling & Simulation in Engineering is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Abstract: | In many fields of engineering, researchers are often interested in analyzing the variation in the values of certain variables such as airtime, tensile strength, air quality, and temperature. In the case of large population sizes, such fluctuations are estimated by observing a small sample from the population of interest and estimating the variance using the sample data. This paper introduces an improved estimator of the population variance by utilizing auxiliary information. Various properties of the suggested variance estimator have been studied. Additionally, to demonstrate the efficiency of the suggested variance estimator, a real‐life data set on airflight time has been used. The comparative analysis suggests that the suggested variance estimator performs better than the competitor variance estimators which makes it the best estimator for real‐world application. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 16875591 |
| DOI: | 10.1155/mse/5002750 |
