Weibull++ Standard Folio Data 2P-Weibull: Difference between revisions

Revision as of 17:43, 11 November 2011

Reliability Web Notes
Weibull Folio
Life Data Analysis
The Weibull distribution is one of the most widely used lifetime distributions in reliability engineering. It can model an increasing, decreasing and or constant failure rate behavior. The 2-parameter Weibull is the most commonly used form of the distribution. It's pdf is given by:
[math]\displaystyle{ f(T)={ \frac{\beta }{\eta }}\left( {\frac{T}{\eta }}\right) ^{\beta -1}e^{-\left( { \frac{T}{\eta }}\right) ^{\beta }} \,\! }[/math] [math]\displaystyle{ \eta= \,\! }[/math] scale parameter, or characteristic life, and [math]\displaystyle{ \beta= \,\! }[/math] shape parameter (or slope).
Parameters
More Details
Examples

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 | align="center" valign="middle" | {{Font|Life Data Analysis|10|tahoma|bold|gray}}
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-| align="center" valign="middle" | The 2 parameter Weibull distribution pdf is given by
+| align="center" valign="middle" |
+The Weibull distribution is one of the most widely used lifetime distributions in reliability engineering. It can model an increasing, decreasing and or constant failure rate behavior.  The 2-parameter Weibull is the most commonly used form of the distribution. It's pdf is given by:
 |-
-| align="center" valign="middle" |
+| align="center" valign="left" |
-<math> f(T)={ \frac{\beta }{\eta }}\left( {\frac{T}{\eta }}\right) ^{\beta -1}e^{-\left( { \frac{T}{\eta }}\right) ^{\beta }} \,\!</math>
+::<math> f(T)={ \frac{\beta }{\eta }}\left( {\frac{T}{\eta }}\right) ^{\beta -1}e^{-\left( { \frac{T}{\eta }}\right) ^{\beta }} \,\!</math>
-<br>where<br>
+::<math> \eta= \,\!</math> scale parameter, or characteristic life, and <br>
-<math> \eta= \,\!</math> scale parameter, or characteristic life, and <br>
+::<math> \beta= \,\!</math> shape parameter (or slope).
-<math> \beta= \,\!</math> shape parameter (or slope).
 |-
 | align="center" valign="middle" | Parameters