Point process notation: Difference between revisions

Revision as of 11:20, 11 October 2013

Revision as of 11:21, 11 October 2013

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==Dual notation==

The different interpretations of point processes as random sets and counting measures is captured with the often used notation <ref name="stoyan1995stochastic"/><ref name="moller2003statistical"/><ref name="BB1"> F. Baccelli and B. B{\l}aszczyszyn. ''Stochastic Geometry and Wireless Networks, Volume I --- Theory'', volume 3, No 3--4 of ''Foundations and Trends in Networking''. NoW Publishers, 2009./>

* <math> \Phi</math> is a set of random points.

* <math> \Phi(B)</math> is a random variable that gives the number of points of <math> \Phi</math> in <math> B</math>.