Statistical modeling of reliability functions and their applications in engineering

Mirzamaxmudov , Umidjon, Turg‘unov , Ismoiljon, Raufov , Humoyun

Муҳандислик ва Иқтисодиёт · 2025-yil

Annotatsiya

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.

Maqola ma’lumotlari
MualliflarMirzamaxmudov , Umidjon, Turg‘unov , Ismoiljon, Raufov , Humoyun
JurnalМуҳандислик ва Иқтисодиёт
NashriyotПлеханов номидаги Россия иқтисодиёти университетининг Тошкент шаҳридаги филиали
ISSN3060-463X, 3060-463X
Nashr sanasi2025-04-07
Jild3
Son4
TilIngliz
Ilmiy sohaTexnika
Indeksga qo‘shilgan2026-08-26

Kalit so‘zlar

Reliability function, hazard rate, Weibull distribution, statistical modeling, predictive maintenance.

Ilmiy soha

Iqtibos keltirish

APAMirzamaxmudov , 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.
MLAMirzamaxmudov , 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
ChicagoMirzamaxmudov , 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
HarvardMirzamaxmudov , 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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