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Statistical modeling of reliability functions and their applications in engineering

Year: 2025

Type: article

Abstract: 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.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.15498328

Authors: Mirzamaxmudov Umidjon Alijon o'g'li, Turg'unov Ismoiljon Maxammadjon o'g'li, Raufov Humoyun Roziq o'g'li

Language: English

Topic: Reliability and Maintenance Optimization

Subfield: Safety, Risk, Reliability and Quality

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6930866048

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