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

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Convergence of Poisson Experimentstaining a general representation of the Hellinger transforms of the possible limit experiments. Some of the following results are obviously known and used by LeCam, 1974 (Sec. 9), but not all of them are stated and proved there. The exposition will be given for nets instead of sequences, as the spac

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Identification of Limit Experimentsameter space T and the appertaining sequence (E.). of product experiments. Let (M.) ., n ∈ ℕ, be the systems of Lévy measures which define the sequence of Poisson experiments accompanying (E.) . ≤ .≤ k., n ∈ ℕ. Throughout this whole section we shall assume that (E.) . ≤ . ≤ k., n ∈ ℕ is infinitesima

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The Lévy-Khintchine Formula for Standard Measures then write S.: = S .. Our first aim is to classify the distributions of the log-likelihood processes of infinitely divisible experiments. We show that E is infinitely divisible if and only if each distribution of the log-likelihood process is infi-nitely divisible on the semigroup ([ −∞, ∞)., +). T

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Arnold Janssen,Hartmut Milbrodt,Helmut Strasserf way continue long after 1848 to adjudicate cultural title to the state. Regardless of their political positioning, fictions produced in the wake of the U.S.-Mexican War struggle to reestablish primogeniture within a troubled space. The editors and writers assembled in San Francisco in 1868 to disc

Infinitesimal