Template:Two parameter exp distribution: Difference between revisions

Latest revision as of 10:10, 9 August 2012

Redirect to:

@@ Line 1: / Line 1: @@
-===The Two-Parameter Exponential Distribution===
+#REDIRECT [[The Exponential Distribution]]
-The two-parameter exponential ''pdf'' is given by:
-::<math>f(t)=\lambda {{e}^{-\lambda (t-\gamma )}},f(t)\ge 0,\lambda >0,t\ge 0\text{ or }\gamma </math>
-where <math>\gamma </math> is the location parameter.
-Some of the characteristics of the two-parameter exponential distribution are [[Appendix: Weibull References|
-[19]]]:
-#The location parameter, <math>\gamma </math>, if positive, shifts the beginning of the distribution by a distance of <math>\gamma </math> to the right of the origin, signifying that the chance failures start to occur only after <math>\gamma </math> hours of operation, and cannot occur before.
-#The scale parameter is <math>\tfrac{1}{\lambda }=\bar{t}-\gamma =m-\gamma </math>.
-#The exponential <math>pdf</math> has no shape parameter, as it has only one shape.
-#The distribution starts at <math>t=\gamma </math> at the level of <math>f(t=\gamma )=\lambda </math> and decreases thereafter exponentially and monotonically as <math>t</math> increases beyond <math>\gamma </math> and is convex.
-#As <math>t\to \infty </math>, <math>f(t)\to 0</math>.
-<br>