Difference between revisions of "Random Variable Distributions"

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(Uniform Distribution)
(Exponential Distribution)
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EXPECTED:  <math> 1 \over \lambda  </math>
 
EXPECTED:  <math> 1 \over \lambda  </math>
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[[File:Exponential-pdf.png]]
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[[File:Exponential-cdf.png]]

Revision as of 18:29, 23 October 2013

This page describes random distributions supported by Filebench

Uniform Distribution

DOMAIN: [a;b]

PDF: <math> f(x; a, b) = {1 \over {b - a}} </math>

CDF: <math> F(x; a, b) = {x - a \over {b - a}} </math>

EXPECTED: <math> (b - a) \over 2 </math>

Uniform-pdf.png Uniform-cdf.png

Exponential Distribution

DOMAIN: <math> [0:\infty) </math>

PDF: <math> f(x; \lambda) = \lambda e^{-\lambda x} </math>

CDF: <math> F(x; \lambda) = 1 - e^{-\lambda x} </math>

EXPECTED: <math> 1 \over \lambda </math>

Exponential-pdf.png Exponential-cdf.png