Template:Weibull-bayesian distribution: Difference between revisions

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-====The Weibull-Bayesian Distribution====
+#REDIRECT [[The Weibull Distribution]]
-Another approach is the Weibull-Bayesian model which assumes that the analyst has some prior knowledge about the distribution of the shape parameter ( <math>\beta )</math>  of the Weibull distribution. There are many practical applications for this model, particularly when dealing with small sample sizes and/or some prior knowledge for the shape parameter is available. For example, when a test is performed, there is often a good understanding about the behavior of the failure mode under investigation, primarily through historical data or physics-of-failure.
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-Note that this is not the same as the so called WeiBayes model.  The so called WeiBayes model is really a one-parameter Weibull distribution. It assumes a fixed value (constant) for the shape parameter and solves for the scale parameter.  The Weibull-Bayesian model in Weibull++ 7 is actually a true WeiBayes model and offers an alternative to the one-parameter Weibull by including the variation and uncertainty that is present in the prior estimation of the shape parameter.
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-The Weibull-Bayesian distribution and its characteristics are presented in more detail in the [[Weibull-Bayesian Analysis]] section in Chapter 8.