Titlebook: Contributions to a General Asymptotic Statistical Theory; J. Pfanzagl Book 1982 Springer-Verlag, New York Inc. 1982 Asymptotische Wirksamk

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Verletzungen der Schlagadern am Hirngrund,Let (x .) be a measurable space, and β the basic family of p-measures Q | A. Let β. ⊂ β be a subfamily, interpreted as a . which is to be tested against alternatives from β — β. .

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V. A. Tverdislov,E. N. GerasimovaLet β be a family of p-measures, and κ: β → IR a differentiable functional. Let κ(·,β the canonical gradient of κ at P.

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Funktionen zur Modellierung von Systemen,Let β. be the family of all distributions on B which admit a posi- tive and symmetric Lebesgue density, and β ⊃ β. a full family of distributions with positive Lebesgue density. Let p denote the Lebesgue density of P, ℓ(x,P):= log p(x), and ℓ’(x,P):= (d/dx)ℓ(x,P).

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Vasodilators in Chronic Heart FailureFor i ∈ {1,. . .,m} let (x., .) be measurable spaces. In the following, sums Σ and products ×,Π over i always run from 1 to m. Let β be a family of p-measures on ×., and κ: β → IR a functional. Our problem is to estimate κ(P) under various conditions on β.

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Introduction,This book intends to provide a basis for a unified asymptotic statistical theory, comprising parametric as well as non-parametric models.

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The Local Structure of Families of Probability Measures,In this section we develop the concept of a tangent cone which seems appropriate for describing the . of a family of p-measures. Our purpose is to seize upon those local properties which are essential for the asymptotic performance of statistical procedures .

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