Template:ExponentialDistribution: Difference between revisions
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(Created page with '===The Exponential Distribution=== The exponential distribution is commonly used for components or systems exhibiting a constant failure rate and is defined in its most general c…') |
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The exponential distribution and its characteristics are presented in more detail in Chapter 7. | The exponential distribution and its characteristics are presented in more detail in [[The Exponential Distribution | Chapter 7]]. | ||
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Revision as of 21:22, 3 February 2012
The Exponential Distribution
The exponential distribution is commonly used for components or systems exhibiting a constant failure rate and is defined in its most general case by:
- [math]\displaystyle{ f(t)=\lambda {e}^{-\lambda(t-\gamma )} }[/math]
(also known as the two-parameter exponential in this form) with two parameters, namely [math]\displaystyle{ \lambda }[/math] and [math]\displaystyle{ \gamma . }[/math]
If the location parameter, [math]\displaystyle{ \gamma }[/math], is assumed to be zero, the distribution then becomes the one-parameter exponential or,
- [math]\displaystyle{ f(t)=\lambda {{e}^{-\lambda t}} }[/math]
The exponential distribution and its characteristics are presented in more detail in Chapter 7.