Template:Exponential Reliability Function: Difference between revisions

Latest revision as of 00:37, 13 August 2012

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-===The Exponential Reliability Function===
+#REDIRECT [[The_Exponential_Distribution#The_Exponential_Reliability_Function]]
-The equation for the two-parameter exponential cumulative density function, or <math>cdf,</math> is given by:
-::<math>F(t)=Q(t)=1-{{e}^{-\lambda (t-\gamma )}}</math>
-Recalling that the reliability function of a distribution is simply one minus the <math>cdf</math>, the reliability function of the two-parameter exponential distribution is given by:
-::<math>R(t)=1-Q(t)=1-\int_{0}^{t-\gamma }f(x)dx</math>
-::<math>R(t)=1-\int_{0}^{t-\gamma }\lambda {{e}^{-\lambda x}}dx={{e}^{-\lambda (t-\gamma )}}</math>