Evolutionary Processes and Predictability
The ideas discussed in this chapter have transformed the study of point processes over the last few decades. They provide the background not only for the results on conditional intensities and likelihoods summarized in Chapter 7, but also for general theories of estimation, prediction and control that have been influential as much in the engineering as in the statistical communities. The introduction to Chapter 7 provides some references to the early literature. Last and Brandt (1995) give a thorough study of the theory for marked point processes; other recent texts covering related material include Asmussen (1987, 2003), Baccelli and Brémaud (1994, 2003) and Andersen et al. (1993).
KeywordsPoisson Process Point Process Generalize Entropy Conditional Intensity Entropy Rate
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