Some Classes of Point Processes

Authors

  • Jose Carlos S. de Miranda Universidade de São Paulo - Brazil

DOI:

https://doi.org/10.11606/issn.2316-9028.v8i2p193-210

Keywords:

Classes of point processes, hypotheses A, B, *A and *B, innitesimal, intensity, non-internally correlated, point process, Poisson process, product density.

Abstract

We dene four classes of point processes which we call A, B, *A, *B. Although we study point processes on R; these classes are suitable for generalizations for point processes on Rm and other measure metric spaces. The main result is the equivalence of classes *A and *B for point processes on R: As a matter of fact, we prove that A B A = B S; where S is the class of simple processes. We also relate these classes and the class of Poisson processes.

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Published

2014-12-12

Issue

Vol. 8 No. 2 (2014)

Section

Articles

How to Cite

Some Classes of Point Processes. (2014). The São Paulo Journal of Mathematical Sciences, 8(2), 193-210. https://doi.org/10.11606/issn.2316-9028.v8i2p193-210