Abstract

For real-valued random fields {v(t); t∊R d } of the form where is a random marked point process in Rdqualitative and asymptotic properties are investigated such as moment formulas, inequalities, in particular bounds by comparing {x n} to a Poisson point process, as well as continuity and asymptotic normality of characteristics of {v(t)} if the underlying marked point process or the response functions f t vary in a suitable manner.

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