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A COMPARATIVE ANALYSIS OF GAMMA AND WEIBULL DISTRIBUTIONS IN TAMIL CINEMA DATA

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Titel: A COMPARATIVE ANALYSIS OF GAMMA AND WEIBULL DISTRIBUTIONS IN TAMIL CINEMA DATA
Autoren: A. Vanathu Suresh, R. Subramani, S. Vijayan
Verlagsinformationen: Reliability: Theory & Applications, 2025.
Publikationsjahr: 2025
Schlagwörter: Gamma distribution, Probability density function, Cumulative density function, Weibull distribution
Beschreibung: This paper aims to systematically investigate the utility of the Gamma and Weibull distributions, focusing on their application to lifetime datasets and clarifying their mathematical and statistical properties. By analyzing lifetime data across various disciplines, the research emphasizes the effectiveness and flexibility of these distributions in capturing the complexities inherent in such data. It underscores the importance of parameters such as standard error, log-likelihood, Akaike Information Criterion (AIC), Bayesian Information Criterion (BIC), and Hannan-Quinn Information Criterion (HQIC) in value estimation. The findings suggest that both distributions provide valuable insights into the underlying data, with practical implications for reliability engineering and failure analysis. Moreover, the study demonstrates that the Weibull distribution offers a better fit to the given data than the Gamma distribution due to its adaptability, which yields superior results. A key contribution of this study is the proposal of a model based on estimating the Conditional Weibull distribution for feature parameters, which accurately predicts a finite mixture of two-parameter Weibull distributions initially verified on datasets.
Publikationsart: Research
DOI: 10.24412/1932-2321-2025-284-156-162
Rights: CC BY
Dokumentencode: edsair.doi...........d253bfb8a3c18d15fc6e9ebaa6566843
Datenbank: OpenAIRE
Beschreibung
Abstract:This paper aims to systematically investigate the utility of the Gamma and Weibull distributions, focusing on their application to lifetime datasets and clarifying their mathematical and statistical properties. By analyzing lifetime data across various disciplines, the research emphasizes the effectiveness and flexibility of these distributions in capturing the complexities inherent in such data. It underscores the importance of parameters such as standard error, log-likelihood, Akaike Information Criterion (AIC), Bayesian Information Criterion (BIC), and Hannan-Quinn Information Criterion (HQIC) in value estimation. The findings suggest that both distributions provide valuable insights into the underlying data, with practical implications for reliability engineering and failure analysis. Moreover, the study demonstrates that the Weibull distribution offers a better fit to the given data than the Gamma distribution due to its adaptability, which yields superior results. A key contribution of this study is the proposal of a model based on estimating the Conditional Weibull distribution for feature parameters, which accurately predicts a finite mixture of two-parameter Weibull distributions initially verified on datasets.
DOI:10.24412/1932-2321-2025-284-156-162