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

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Tangent Cones,where the tangent cone fails to be a linear space. These examples are to remind the reader that an extension of the theory to convex tangent cones is wanted. Since the results are not needed in the rest of the book, we are more generous about regularity conditions .

mydriatic

Projections of Probability Measures,., ·), n∈IN, for p-measures in β which is strict in the sense that P.(., ·) ∈ β for . ∈ X.. If it is known that the true p-measure P belongs to some subfamily ., is it then possible to obtain estimators for P which attain their values in . from the estimators P.? Given P. (., ·) ∈ β, it suggests its

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Asymptotic Bounds for the Concentration of Estimators,surable map κ. : X. → IR.. The goal of this chapter is to obtain standards for the evaluation of particular estimators by providing bounds for the concentration of estimators (with certain properties). This program can be carried through with success if the sample size is large.

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Existence of Asymptotically Efficient Estimators for Functionals,dif f erentiable and κ(·,P) ∈T(P,β) its canonical gradient. If an estimator-sequence κ. , n∈IN, for κ is as. median unbiased, then, for n → ∞ , P.*n.(κ — κ (P)) cannot be more concentrated about 0 than N(O,P(κ (·,P).)). Hence it is justified to call an estimator- sequence which is as. median unbiase

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Existence of Asymptotically Efficient Tests,.5.3, it is impossible that a test-sequence attains this as. envelope power function for alternatives Q deviating from the hypothesis in different directions. Hence the only situation in which no further problems arise is that of a hypothesis with one-dimensional co-space (see Section 8.2 for a more

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Cloudburst

Rapha?l Fèvreendence by offspring has been documented (Ochiai 1983a), but there is not enough information on territory establishment by independent offspring. This chapter aims to describe the process of reaching independence, and that of territory establishment of offspring in the Japanese serow, based on continuous observations in the wild for seven years.

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