Strong Approximation

  • Rolf-Dieter Reiss
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
$${X_1},{X_2},...,{X_\zeta }$$
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.


Intensity Measure Poisson Process Point Process Empirical Process Strong Approximation 
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Copyright information

© Springer-Verlag New York, Inc. 1993

Authors and Affiliations

  • Rolf-Dieter Reiss
    • 1
  1. 1.Fachbereich 6, Mathematik VIUniversität Gesamthochschule SiegenSiegenGermany

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