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Probability and Its Distribution in Statistics

In: Design of Mechanical Systems

Author

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  • Seongwoo Woo

    (Ethiopian Technical University)

Abstract

This chapter will discuss what the probability and its distribution in mechanical systems are. It will be basic concepts to understand the product lifetime. Once a product is designed and launched, it will suddenly fail in the field. Similar to the Poisson distribution, it rarely happens. When examining the failure products, we can recognize that there are some design imperfections in a multimodule product. To completely understand it, we should have to know the basic concepts such as random variables, probability, distribution, etc. Based on that, if we understand some knowledge of reliability engineering—reliability (or unreliability), bathtub curve, Weibull distribution, Weibayes method, maximum likelihood estimate (MLE), Mean Time To Failure (MTTF), BX life, etc., we can assess the product lifetime after gathering the failure data.

Suggested Citation

  • Seongwoo Woo, 2023. "Probability and Its Distribution in Statistics," Springer Series in Reliability Engineering, in: Design of Mechanical Systems, chapter 0, pages 111-147, Springer.
  • Handle: RePEc:spr:ssrchp:978-3-031-28938-5_3
    DOI: 10.1007/978-3-031-28938-5_3
    as

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