A new failure distribution for reliability evaluation of modern technological systems is proposed in this article. Methods for estimation the parameters of this distribution were presented based on failure statistics and the dependence of reliability indexes was investigated over time. The proposed failure distribution can be applied to describe the different failure behavior of modern machines and man-machine systems. On the example of practical cases, the hypothesis of compliance of the proposed theoretical law of distributions to the actual statistical data on failures of various technological systems was tested by the criterion χ2 - K. Pearson.
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Chalabi, I. An Alternative Failure Distribution for Reliability Evaluation of Diverse Technological Systems. J Fail. Anal. and Preven. 21, 1866–1874 (2021). https://doi.org/10.1007/s11668-021-01244-1
- Failure distribution
- Failure rate
- Failure density function
- Survival probability