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Intensity Measure


The intensity measure mu of a point process X relative to a Borel set B subset R^d is defined to be the expected number of points of X falling in B. Symbolically,

 mu(B)=E{N(B)}

where here, E denotes the expected value.

The notion of an intensity measure is intimately connected to one oft-discussed notion of intensity function (Pawlas 2008).


See also

Conditional Intensity Function, Intensity Function, Point Process

This entry contributed by Christopher Stover

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References

Pawlas, Z. "Spatial Modeling and Spatial Statistics." Course Notes. Autumn 2008. http://www.math.ku.dk/~pawlas/rumlig.pdf.

Cite this as:

Stover, Christopher. "Intensity Measure." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/IntensityMeasure.html

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