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Inverse Power Generalized Maxwell Distribution with Applications in Industry


Paper Type 
Contributed Paper
Title 
Inverse Power Generalized Maxwell Distribution with Applications in Industry
Author 
Ahmed M. Gemeay, Hebatalla H. Mohammad, Abeer A. EL-Helbawy, Laxmi Prasad Sapkota, Sid Ahmed Benchiha, Eslam Hussam and Mustafa S. Shama
Email 
laxmisapkota75@gmail.com
Abstract:

     Utilizing the inverse power transformation methodology, we introduce a novel continuous three-parameter probability distribution termed the inverse power generalized Maxwell distribution, which extends upon the existing Maxwell distribution. In this paper, we establish Key functions relevant to survival analysis and elucidate various statistical properties of the model. Our investigation delves into the estimation of model parameters by employing and rigorously evaluating six distinct estimation techniques through extensive numerical simulations. To assess the practical utility of the proposed model, we analyze two real-world engineering datasets. Empirically, the results demonstrate that the proposed model provides a superior goodness-of-fit compared to alternative models considered in this study.

Graphical Abstract:
Article ID
e2025063
Received Date 
2025-02-15
Revised Date 
2025-06-11
Accepted Date 
2025-07-01
Keyword 
generalize maxwell distribution, moments, estimation, inverse power, entropy
Volume 
Vol.52 No.5 In progress (September 2025). This issue is in progress but contains articles that are final and fully citable.
DOI 
https://doi.org/10.12982/CMJS.2025.063
Citation 

Gemeay A.M., Mohammad H.H., EL-Helbawy A.A., Sapkota L.P., Benchiha S.A., Hussam E., et al., Inverse power generalized Maxwell distribution with applications in industry. Chiang Mai Journal of Science, 2025; 52(5): e2025063. DOI 10.12982/CMJS.2025.063.

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