Point process notation: Difference between revisions

Revision as of 10:52, 10 May 2014

Revision as of 18:41, 6 October 2014

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===Random sequences of points===

In some mathematical frameworks, a given point process may be considered as a sequence of points with each point randomly positioned in ''d''-dimensional [[Euclidean space]] '''R'''^''d''<ref name="stoyan1995stochastic"/> as well as some other more abstract [[mathematical space]]s. In general, whether or not a random sequence is equivalent to the other interpretations of a point process depends on the underlingunderlying mathematical space, but this holds true for the setting of finite-dimensional Euclidean space '''R'''^''d''.<ref name="daleyPPII2008">{{cite doi|10.1007/978-0-387-49835-5}}</ref>

===Random set of points===