Uniform Difference Distribution

Author

Eric W. Weisstein
January 10, 2009

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Statistics/UniformDifferenceDistribution.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/UniformDifferenceDistribution.html.

©2009 Wolfram Research, Inc. except for portions noted otherwise

Derivation

V5.0

Integrate[DiracDelta[(x-y)-z],{x,0,1},{y,0,1}]

FullSimplify[%,-1<z<1]

V5.1

Integrate[DiracDelta[(x-y)-z],{x,0,1},{y,0,1}]

FullSimplify[%,-1<z<1]

V7

Integrate[DiracDelta[(x-y)-z],{x,0,1},{y,0,1}]

FullSimplify[%,-1<z<1]

Plot

Plot[1-z+2 z UnitStep[-z],{z,-1,1},PlotStyle->Red,
AxesLabel->TraditionalForm/@{u,(Subscript[P, (Subscript[X, 1])-(Subscript[X, 2])])[u]}]