Point process notation: Difference between revisions

Revision as of 12:01, 2 December 2015

Revision as of 12:03, 2 December 2015

Line 3:

In [[probability]] and [[statistics]], '''point process notation''' comprises the range of [[mathematical notation]] used to symbolically represent [[random]] [[Mathematical object|objects]] known as [[point process]]es, which are used in related fields such as [[stochastic geometry]], [[spatial statistics]] and [[continuum percolation theory]] and frequently serve as [[mathematical models]] of random phenomena, representable as points, in time, space or both.

The notation varies due to the histories of certain mathematical fields and the different interpretations of point processes,<ref name="stoyan1995stochastic">D. Stoyan, W. S. Kendall, J. Mecke, and L. Ruschendorf. ''Stochastic geometry and its applications'', volumeSecond 2Edition, Section 4.1, Wiley Chichester, 1995.</ref><ref name="daleyPPI2003">{{Cite journal | doi = 10.1007/b97277 | first1 = D. J. | last1 = Daley | first2 = D. | last2 = Vere-Jones| title = An Introduction to the Theory of Point Processes | series = Probability and its Applications | year = 2003 | isbn = 0-387-95541-0 | pmid = | pmc = }}</ref><ref name="haenggi2012stochastic">M. Haenggi. ''Stochastic geometry for wireless networks''. Chapter 2. Cambridge University Press, 2012.</ref> and borrows notation from mathematical areas of study such as [[measure theory]] and [[set theory]].<ref name="stoyan1995stochastic"/> <ref name="haenggi2012stochastic">M. Haenggi. ''Stochastic geometry for wireless networks''. Cambridge University Press, 2012.</ref>

==Interpretation of point processes==