Some Classes of Point Processes.
Palavras-chave: Classes of point processes, hypotheses A, B, *A and *B, innitesimal, intensity, non-internally correlated, point process, Poisson process, product density.
ResumoWe 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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Miranda, J. (2014). Some Classes of Point Processes. São Paulo Journal of Mathematical Sciences, 8(2), 193-210. https://doi.org/10.11606/issn.2316-9028.v8i2p193-210