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Record Nr. |
UNINA9910437871503321 |
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Titolo |
Stochastic Geometry, Spatial Statistics and Random Fields : Asymptotic Methods / / edited by Evgeny Spodarev |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 |
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ISBN |
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Edizione |
[1st ed. 2013.] |
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Descrizione fisica |
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1 online resource (XXIV, 446 p. 105 illus., 27 illus. in color.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 2068 |
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Disciplina |
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Soggetti |
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Convex geometry |
Discrete geometry |
Probabilities |
Statistics |
Convex and Discrete Geometry |
Probability Theory and Stochastic Processes |
Statistical Theory and Methods |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Includes contributions presented at the Summer Academy on Stochastic Geometry, Spatial Statistics and Random Fields, held at the Söllerhaus, Hirschegg, Austria, September 13-26, 2009, under the auspices of the Institute of Stochastics, University of Ulm. |
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Nota di bibliografia |
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Includes bibliographical references (pages 421-440) and index. |
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Nota di contenuto |
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1 Foundations of stochastic geometry and theory of random sets -- 2 Introduction into integral geometry and stereology -- 3 Spatial point patterns – models and statistics -- 4 Asymptotic methods in statistics of random point processes -- 5 Random tessellations and Cox processes -- 6 Asymptotic methods for random tessellations -- 7 Random polytopes -- 8 Limit theorems in discrete stochastic geometry -- 9 Introduction to random fields -- 10 Central limit theorems for weakly dependent random fields -- 11 Strong limit theorems for increments of random fields -- 12 Geometry of large random trees: SPDE approximation. |
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Sommario/riassunto |
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This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. It is focused on asymptotic methods in geometric probability including |
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weak and strong limit theorems for random spatial structures (point processes, sets, graphs, fields) with applications to statistics. Written as a contributed volume of lecture notes, it will be useful not only for students but also for lecturers and researchers interested in geometric probability and related subjects. |
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