BET 发表于 2025-3-23 10:48:35

Matrix Lie groups,th respect to some subgroup. In this connection the Lie algebra and the exponential map are the central concepts. It may be noted that all the groups occurring in the examples considered in these notes are matrix Lie groups.

赞美者 发表于 2025-3-23 16:32:49

,Am Schluß — ein Ende in Differenz,d mathematics. In particular, the mathematical methodology in question is required for certain advanced parts of parametric statistics. See, for instance, Fraser (1979), Muirhead (1982), Barndorff-Nielsen, Blæsild, Jensen and Jørgensen (1982), Eaton (1983), Baddeley (1983), Andersson, Brøns and Jens

刺激 发表于 2025-3-23 20:20:41

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小虫 发表于 2025-3-24 00:22:23

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贫困 发表于 2025-3-24 05:31:04

K. Peter,K. Unertl,H. WroblewskiIn this section we introduce the concept of an action of a topological group G on a topological space χ. Furthermore we lay down a set of topological conditions to ensure that there exists a measure on χ which is invariant under the action of G.

增强 发表于 2025-3-24 07:52:34

Friedrich Wilhelm Ahnefeld,Wulf SeelingIn this section we discuss existence and uniqueness of invariant, relatively invariant and quasi-invariant measures on a space χ with an acting group G. In particular, the left and right invariant measures on G itself are considered, and several basic formulas relating these are derived. Various disintegration formulas are also presented.

注意力集中 发表于 2025-3-24 11:08:20

Frank J. Robertz,Ruben WickenhäuserSuppose a space χ is partitioned into disjoint subsets χ.,.∈ П, and let μ be a measure on χ. If for each .∈ П we have a measure . on χ. and if there is a measure κ on П such that . for every integrable function f then ((.).,κ) is said to constitute a . of μ, and we speak of (5.1) as a . formula.

符合国情 发表于 2025-3-24 15:57:22

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craven 发表于 2025-3-24 19:16:59

Frank J. Robertz,Ruben WickenhäuserMany of the most important models in statistics are transformation models, or partly transformational. In this chapter we present the key aspects of the powerful theory of transformation models. This theory draws heavily on the theory of decomposition and invariance of measures considered in sections 2–7.

并入 发表于 2025-3-25 02:47:42

Topological groups and actions,In this section we introduce the concept of an action of a topological group G on a topological space χ. Furthermore we lay down a set of topological conditions to ensure that there exists a measure on χ which is invariant under the action of G.
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查看完整版本: Titlebook: Decomposition and Invariance of Measures, and Statistical Transformation Models; Ole E. Barndorff-Nielsen,Preben Blæsild,Poul Svant Book 1