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Enhancing Reliability Engineering Through Weibull Distribution in R | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Volume 18, Issue 1, June 2024, Pages 103-110 PDF (654.19 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2024.145036.1098 | ||
| Author | ||
| Sameera Abdulsalam Othman* | ||
| Department of Mathematics, College of Basic Education, University of Dohuk, Iraq | ||
| Abstract | ||
| Accelerated life testing is a fundamental practice in reliability engineering, making the evaluation of component or device performance over extended lifetimes impractical to encounter during design. This study delves into the application of the Weibull distribution to model lifetime data, showcasing its versatility in real-world scenarios. The evaluation includes critical metrics such as Akaike’s information criterion (AIC), Bayesian information criterion (BIC), coefficient of determination, and standard error for distribution comparison. Utilizing Maximum Likelihood Estimation (MLE) for parameter estimation, a simulation study is conducted with varying sample sizes, and the R programming language is employed for in-depth analysis. Real data analysis involves Weibull using goodness-of-fit criteria. Maximum Likelihood Estimates (MLEs) are obtained, and the likelihood ratio test demonstrates the Weibull model's superior alignment with the data. The study concludes with the simplicity of producing Quick Fit plots for analysis using R software. The presented approach provides a comprehensive understanding of reliability characteristics, combining theoretical insights with practical applications and numerical analyses. The estimated parameters (β=0.973725, 𝜂=14167.5) and statistical measures (K-Smirov, AIC, BIC, Anderson-Darling, Cramer-von Misses) underscore the thoroughness of the evaluation process. The likelihood ratio test further substantiates the Weibull distribution's closer alignment with the input data compared to the standard 2-parameter Weibull distribution. These findings offer a significant methodology for accelerated life testing and model selection, providing essential practical insights into reliability engineering. | ||
| Keywords | ||
| Probability distributions; R code; data modeling; failure times; Reliability | ||
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