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Titlebook: Stochastic and Integral Geometry; Rolf Schneider,Wolfgang Weil Book 2008 Springer-Verlag Berlin Heidelberg 2008 Geometric probability.Inte

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Point Processes’ of the process are ordinary points of R., but in others, like those employing random closed sets, the ‘points’ may themselves be sets. For that reason, we study point processes in a general locally compact space ..
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Extended Concepts of Integral Geometryll be proved by techniques similar to those in Sections 5.2 and 5.3. From the formulas for rotation means of sums we deduce projection formulas..In Section 6.3, we admit (infinite) convex cylinders as moving sets. For these, we derive a local kinematic formula, and we also obtain a formula that combines sections with projections.
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Invariant Measures this book and could be dispensed with). For the topological groups and homogeneous spaces that are relevant for integral geometry in Euclidean spaces, the existence and uniqueness of invariant measures will be proved in Section 13.2 in a direct and elementary way, starting from Lebesgue measure and assuming only basic facts from measure theory.
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https://doi.org/10.1007/978-3-540-78859-1Geometric probability; Integral geometry; Random set; Stochastic geometry; Variance; point process
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