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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. It is defined in its most general case by: <br>
 
::<span class="texhtml">''f''(''t'') = λ''e''<sup> − λ(''t'' − γ)</sup></span>
 
with two parameters, namely <span class="texhtml">λ</span> and <span class="texhtml">γ</span>&nbsp;(this form is also known as the two-parameter exponential). If the location parameter, <span class="texhtml">γ</span>, is assumed to be zero, then the&nbsp;distribution&nbsp;becomes the one-parameter exponential or, <br>
 
::<span class="texhtml">''f''(''t'') = λ''e''<sup> − λ''t''</sup></span>
 
The exponential distribution and its characteristics are presented in&nbsp;detail in&nbsp;the chapter&nbsp;[[The Exponential Distribution|The Exponential Distribution]].
 
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Latest revision as of 09:56, 9 August 2012