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In probability theory and statistics, the discrete Weibull distribution is the discrete variant of the Weibull distribution. The Discrete Weibull Distribution, first introduced by Toshio Nakagawa and Shunji Osaki, is a discrete analog of the continuous Weibull distribution, predominantly used in reliability engineering. It is particularly applicable for modeling failure data measured in discrete units like cycles or shocks. This distribution provides a versatile tool for analyzing scenarios where the timing of events is counted in distinct intervals, making it distinctively useful in fields that deal with discrete data patterns and reliability analysis. The discrete Weibull distribution is infinitely divisible only for .
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References
- ↑ "Statistical estimation for Large Numbers of Rare Events". Department of Linguistics - Home. Retrieved 2019-06-28.
- ↑ Giorgi Kvizhinadze (2010). "Large number of rare events:Diversity analysis in multiple choice questionnaires and related topics" (PDF). A thesis submitted to the Victoria University of Wellington. Victoria University of Wellington.
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