Weibull++ Standard Folio Data 2 Subpop-Mixed Weibull: Difference between revisions
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<math>\underset{i=1}{\overset{S}{\mathop \sum }}\,\frac{{{N}_{i}}{{\beta }_{i}}}{N{{\eta }_{i}}}{{\left( \frac{T}{{{\eta }_{i}}} \right)}^{{{\beta }_{i}}-1}}{{e}^{-{{(\tfrac{T}{{{\eta }_{i}}})}^{{{\beta }_{i}}}}}}</math> | <math>\underset{i=1}{\overset{S}{\mathop \sum }}\,\frac{{{N}_{i}}{{\beta }_{i}}}{N{{\eta }_{i}}}{{\left( \frac{T}{{{\eta }_{i}}} \right)}^{{{\beta }_{i}}-1}}{{e}^{-{{(\tfrac{T}{{{\eta }_{i}}})}^{{{\beta }_{i}}}}}}</math> | ||
<br> | <br> | ||
where | where S=2, S=3, and S=4 for 2, 3 and 4 subpopulations respectively. | ||
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| align="center" valign="middle" | [http://www.reliawiki.com/index.php/The_Mixed_Weibull_Distribution Get More Details...] | | align="center" valign="middle" | [http://www.reliawiki.com/index.php/The_Mixed_Weibull_Distribution Get More Details...] |
Revision as of 18:19, 11 November 2011
Reliability Web Notes |
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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}_{1,...,S}(T)} }[/math] is given by |
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