An improved family of unbiased ratio estimators for a population distribution function

AIMS Mathematics, Journal Year: 2025, Volume and Issue: 10(1), P. 1061 - 1084

Published: Jan. 1, 2025

<p>This study discusses a novel family of unbiased ratio estimators using the Hartley-Ross (HR) method. The are designed to estimate population distribution function (PDF) in context simple random sampling with non-response. To assess their performance, expressions for variance obtained up initial (first) approximation order. efficiency proposed is evaluated analytically and numerically compared existing estimators. In addition, accuracy assessed four real-world datasets simulation analysis. estimator demonstrates exceptional performance under sampling, achieving percentage relative efficiencies 272.052,301.279,214.1214, 280.9528 across distinct populations, significantly outperforming For non-response different weights, exhibits remarkable efficiency, $ w_1 = 339.7875, w_2 334.6623, w_3 337.7393 Population 1, 257.0119, 274.7351, 316.0341 2, 231.8627, 223.0608, 219.9059 3, 261.3122, 242.7319, 240.0694 4, validating its robustness superiority.</p>

Language: Английский

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A new auxiliary variables-based estimator for population distribution function under stratified random sampling and non-response

Scientific Reports, Journal Year: 2025, Volume and Issue: 15(1)

Published: April 19, 2025

Population distribution function is a particular area in sample surveys, and several researchers have worked to improve the accuracy of this study by using auxiliary data. Recent studies estimate population applying stratified random sampling non-response techniques, but there are some limitations However, we study, which aims maximize estimating under combined effect groups. To achieve goal condition both introduce use variable two variables (mean ranks). We conduct various estimations for real-world populations theoretical numerical findings. The results obtained from these estimators consistently demonstrate better performance proposed classes over currently existing estimators. This work also finds comprehensive simulation analysis evaluate These findings show that effectiveness estimator significantly improves estimation accuracy. For additional validation understanding relative estimators, provides comparative graphs showing their other current

Language: Английский

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Trust-Building in AI-Human Partnerships Within Industry 5.0

System Safety Human - Technical Facility - Environment, Journal Year: 2024, Volume and Issue: 6(1)

Published: Dec. 1, 2024

Abstract The rapid advancement of artificial intelligence (AI) within Industry 4.0 has transformed manufacturing processes, shifting from traditional automation to more collaborative AI-human partnerships. While AI promises enhanced efficiency, precision, and productivity, the success these systems relies heavily on trust established between human operators technologies. This paper explores critical factors influencing in partnerships sector, emphasizing need for transparency, accountability, ethical design. Drawing a multi-disciplinary literature review empirical studies, we identify key drivers trust, including preferences system explainability decisions, reliability dynamic production environments. Furthermore, examines challenges associated with trust-building, such as overcoming fear job displacement managing perceived risks errors. findings contribute growing body knowledge human-centric design offer practical recommendations fostering ensure successful collaboration settings. By transitioning purely automated partnerships, manufacturers can unlock full potential while maintaining workforce that is confident AI’s alignment.

Language: Английский

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A Study on the Communication Effect of Chinese Traditional Sports Culture on a Global Scale Based on High-Dimensional Data Processing

Applied Mathematics and Nonlinear Sciences, Journal Year: 2024, Volume and Issue: 9(1)

Published: Jan. 1, 2024

Abstract Against the background of advancing globalisation and rapid development information technology, international dissemination Chinese traditional sports culture has become an important way to charm promote cultural exchanges mutual understanding. This paper analyzes technology independently builds a digital, museum with set data visual platforms. By selecting high-dimensional features from culture, batch gradient descent processing is carried out on data. Based logistic regression model processing, analysis conducted effect dissemination. The visualisation platform designed in this can help foreign users understand origin culture. Through digital museum, users’ awareness wushu, taijiquan, qigong, wrestling, chess go, archery, dragon boat, lion dance, cuju, acrobatics exceeded 4.0 points. There significant difference between overall impact museums occupation (P < 0.05). Traditional subject, method, content object global scale, which coefficients constructed paper, as well platform, are high 0.324 0.417, respectively. To sum up, scale strengthened by technology.

Language: Английский

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