Reliability analysis is a critical component of engineering systems, ensuring the safeand efficient operation of components under specified conditions. This paper presents a rigorousmathematical framework for modeling reliability functions using statistical methods. We explore keyreliability models such as the exponential, Weibull, and lognormal distributions, and demonstratetheir application in predicting failure rates, optimizing maintenance schedules, and enhancingsystem performance. The results are supported by parameter estimates, graphical representations,and comparative analyses. Our findings highlight the importance of advanced probabilistic modelsin addressing real-world engineering challenges.
| Mualliflar | Mirzamaxmudov , Umidjon, Turg‘unov , Ismoiljon, Raufov , Humoyun |
|---|---|
| Jurnal | Муҳандислик ва Иқтисодиёт |
| Nashriyot | Плеханов номидаги Россия иқтисодиёти университетининг Тошкент шаҳридаги филиали |
| ISSN | 3060-463X, 3060-463X |
| Nashr sanasi | 2025-04-07 |
| Jild | 3 |
| Son | 4 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| Indeksga qo‘shilgan | 2026-08-26 |
Reliability function, hazard rate, Weibull distribution, statistical modeling, predictive maintenance.
| APA | Mirzamaxmudov , Umidjon, Turg‘unov , Ismoiljon, & Raufov , Humoyun (2025). Statistical modeling of reliability functions and their applications in engineering. Муҳандислик ва Иқтисодиёт, 3(4). https://muhandislik-iqtisodiyot.uz/index.php/journal/article/view/627 |
|---|---|
| GOST (OAK) | Mirzamaxmudov , Umidjon, Turg‘unov , Ismoiljon, Raufov , Humoyun Statistical modeling of reliability functions and their applications in engineering // Муҳандислик ва Иқтисодиёт. – 2025. – T. 3, № 4. |
| MLA | Mirzamaxmudov , Umidjon, Turg‘unov , Ismoiljon, and Raufov , Humoyun. “Statistical modeling of reliability functions and their applications in engineering.” Муҳандислик ва Иқтисодиёт, 3(4), 2025. https://muhandislik-iqtisodiyot.uz/index.php/journal/article/view/627 |
| Chicago | Mirzamaxmudov , Umidjon, Turg‘unov , Ismoiljon, and Raufov , Humoyun. “Statistical modeling of reliability functions and their applications in engineering.” Муҳандислик ва Иқтисодиёт, 3(4) (2025). https://muhandislik-iqtisodiyot.uz/index.php/journal/article/view/627 |
| Harvard | Mirzamaxmudov , Umidjon, Turg‘unov , Ismoiljon, and Raufov , Humoyun (2025) ‘Statistical modeling of reliability functions and their applications in engineering’, Муҳандислик ва Иқтисодиёт, 3(4). https://muhandislik-iqtisodiyot.uz/index.php/journal/article/view/627 |
| BibTeX | @article{mirzamaxmudovumidjon2025,
title = {Statistical modeling of reliability functions and their applications in engineering},
author = {Mirzamaxmudov , Umidjon and Turg‘unov , Ismoiljon and Raufov , Humoyun},
journal = {Муҳандислик ва Иқтисодиёт},
year = {2025},
volume = {3},
number = {4},
url = {https://muhandislik-iqtisodiyot.uz/index.php/journal/article/view/627}
} |
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