Titlebook: Infinitely Divisible Statistical Experiments; Arnold Janssen,Hartmut Milbrodt,Helmut Strasser Book 1985 Springer-Verlag Berlin Heidelberg

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Identification of Limit Experimentse of Poisson experiments accompanying (E.) . ≤ .≤ k., n ∈ ?. Throughout this whole section we shall assume that (E.) . ≤ . ≤ k., n ∈ ? is infinitesimal and bounded. We give conditions under which all weak accumulation points of (E.) . are either Gaussian or Poisson experiments.

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Introductionunnecessary analytical regularity conditions. On the one hand, this development made it possible to put the classical asymptotic results of statistics into their present, fairly final form (cf. LeCam, 1972 and 1979). On the other hand, it provided tools, which may serve for the solution of problems that have been inaccessible so far.

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