Weibull++ Standard Folio Data 2 Subpop-Mixed Weibull: Difference between revisions

Revision as of 18:06, 11 November 2011

Reliability Web Notes
Weibull Folio
Life Data Analysis
The mixed Weibull distribution (also known as a multimodal Weibull) is used to model data that do not fall on a straight line on a Weibull probability plot. Data of this type, particularly if the data points follow an S-shape on the probability plot, may be indicative of more than one failure mode at work in the population of failure times.
[math]\displaystyle{ f(T)={ \frac{C}{\eta }}\left( {\frac{T}{\eta }}\right) ^{C-1}e^{-\left( {\frac{T}{ \eta }}\right) ^{C}} \,\! }[/math] Only the scale parameter (eta) is estimated from data. You will be prompted to specify the shape parameter value. Eta represents the time by which 63.2% of the units fail.
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-The One-parameter Weibull distribution is a special case of the general Weibull distribution.
+The mixed Weibull distribution (also known as a multimodal Weibull) is used to model data that do not fall on a straight line on a Weibull probability plot. Data of this type, particularly if the data points follow an S-shape on the probability plot, may be indicative of more than one failure mode at work in the population of failure times.
-With the one-parameter Weibull, we assume that the shape parameter is Constant and known ''a priori'', and must be supplied by the analyst. This in turn sets the failure rate behavior. The advantage of doing this is that data sets with few or no failures can be analyzed.
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