Part of the Springer Series in Statistics book series (SSS)
Larger parts of this book are centered upon mixed empirical processes that concern random samples
where X1, X2, X3, ... are independent, identically distributed (i.i.d.) random elements in the basic space S, and ζ is a random sample size that is independent of the X i . The present chapter will provide a detailed discussion of special mixed empirical processes, namely, of binomial processes and Poisson processes with finite intensity measures. In these cases the random sample size ζ is a binomial and, respectively, a Poisson random variable (r.v.). Further examples of mixed empirical processes and a thorough treatment of that subject may be found in Section 2.2.
KeywordsConvolution Cane Rote Bini
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© Springer-Verlag New York, Inc. 1993