U. Z ahle, Self-similar random measures I. Notion, carrying Hausdor dimension and hyperbolic distribution, Probab.Theory Related Fields, 80(1988), 79-100.  Home/Search Document Not in Database Summary Related Articles Check |
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Symmetry Properties of Average Densities and Tangent Measure.. - Mörters (1996) (1 citation) (Correct)
....G : M(IR) IR [0; 1) Here T u is the measure de ned by T u (E) u E) and M(IR) is the space of Radon measures with the vague topology. By this formula the tangent measure distributions are Palm distributions and thus de ne self similar random measures in the sense of U. Z ahle ([22]) 1 Introduction In this paper we study nonnegative Radon measures on the real line such that, for some 0 1, has positive lower and nite upper densities, i.e. 0 lim inf t#0 ( x t; x t] t lim sup t#0 ( x t; x t] t 1 for almost every x. Examples of measures ....
....[14] Lemma 2.7 A probability measure P on M(IR) is a Palm distribution if and only if P (f g) 0, where is the zero measure, and (1) holds. Theorem 1.2 and Proposition 2.1 yield an interesting connection of tangent measure distributions to the theory of self similar random measures. In [22] U. Z ahle suggested the following axiomatic concept of statistical self similarity. De nition A probability distribution P on M(IR) de nes an self similar random measure if P is a Palm distribution and invariant under the rescaling group (S ) 0 . The heuristic idea of this de nition is ....
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U. Z ahle, Self-similar random measures I. Notion, carrying Hausdor dimension and hyperbolic distribution, Probab.Theory Related Fields, 80(1988), 79-100. 25
Symmetry Properties of Average Densities and Tangent Measure.. - Mörters Self-citation (Measures) (Correct)
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U. Z ahle, Self-similar random measures I. Notion, carrying Hausdor dimension and hyperbolic distribution, Probab.Theory Related Fields, 80(1988), 79-100.
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