占卜者
发表于 2025-3-25 04:30:12
Differentiable Functionals,Let κ: β → IR be a functional. For asymptotic theory, the . . of this functional are essential, i.e., its behavior in contiguous neighborhoods. These local properties determine how good optimal tests and estimators can be asymptotically. The mathematical construct suitable for this purpose is the gradient.
intricacy
发表于 2025-3-25 10:32:26
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Genome
发表于 2025-3-25 12:37:43
Distance Functions for Probability Measures,Let μ |. be a σ-finite measure and P, Q, P. , P. p-measures with μ- densities p, q, p., p..
施加
发表于 2025-3-25 16:35:27
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EXULT
发表于 2025-3-25 23:13:45
Existence of Asymptotically Efficient Estimators for Probability Measures,For .∈x., let P. (., ·) denote a p-measure. Our problem is to evaluate the performance of P as an estimator for a p-measure known to belong to β. Throughout the following we assume that the estimator is strict, i.e. that P. (., ·) ∈β for every . ∈ x.. The basic problem is to define as. efficiency.
Processes
发表于 2025-3-26 02:22:06
Inference for Parametric Families,Let β be a family of p-measures, and κ: β → IR a differentiable functional. Let κ(·,β the canonical gradient of κ at P.
机构
发表于 2025-3-26 04:42:01
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harangue
发表于 2025-3-26 12:28:50
Inference for Measures on Product Spaces,For 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.
aesthetic
发表于 2025-3-26 13:31:44
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确定的事
发表于 2025-3-26 20:37:13
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