Titlebook: An Introduction to the Theory of Point Processes; D. J. Daley,D. Vere-Jones Textbook 19981st edition Springer Science+Business Media New Y

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https://doi.org/10.1007/978-3-663-09709-9the measure-theoretic foundations that are given in Chapters 6 and 7. Some aspects that are intuitively reasonable and that can in fact be given a rigorous basis are taken at face value, in order that the basic ideas may be exposed without the burden of too much mathematical detail. Thus, the result

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,Zusammenfassung und Schlußfolgerungen,retaining those of stationarity and orderliness of a point process on the line. In this chapter we examine generalizations in another direction, stemming from the observation in Chapter 2 that, for a Poisson process, conditional on the total number of points in a bounded region of time or space, the

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https://doi.org/10.1007/978-3-322-95475-6ounting measures and is best suited for handling point processes in the plane and more general spaces. While results for random measures are of interest in their own right, the unified context allows us to appreciate more clearly the features that are peculiar to point processes. Discussion of such

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