Point process notation: Difference between revisions

Revision as of 12:03, 11 October 2013

Revision as of 12:04, 11 October 2013

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:<math> x\in \Phi, </math>

is used to denote that a random point <math> x</math> belongs to the point process <math> \Phi</math>. The theory of random sets can be applied to point processes owing to this interpretation. These two interpretations have resulted in a point process being written as :

:<math> \{x_1, x_2,\dots \}=\{x\}_i</math>,

which to highlighthighlights its interpretation as either a random sequence or random closed set of points<ref name="stoyan1995stochastic"/>.

===Random measures===