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| ===The Exponential Distribution===
| | #REDIRECT [[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:
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| ::<math>f(t)=\lambda {e}^{-\lambda(t-\gamma )}</math>
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| (also known as the two-parameter exponential in this form) with two parameters, namely <math>\lambda </math> and <math>\gamma .</math>
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| If the location parameter, <math>\gamma </math>, is assumed to be zero, the distribution then becomes the one-parameter exponential or,
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| ::<math>f(t)=\lambda {{e}^{-\lambda t}}</math>
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| The exponential distribution and its characteristics are presented in more detail in Chapter [[The Exponential Distribution]].
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