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Stochastic Geometry, Spatial Statistics and Random Fields: Asymptotic Methods

Evgeny Spodarev, editor
Format
Book
Published
Heidelberg : New York ; Springer, c2013.
Language
English
Series
Lecture Notes in Mathematics
Lecture Notes in Mathematics (Springer-Verlag)
ISBN
9783642333040, 3642333044
Contents
  • 1. Foundations of stochastic geometry and theory of random sets / Ilya Molchanov
  • 2. Introduction into integral geometry and stereology / Markus Kiderlen
  • 3. Spatial point patterns : models and statistics / Adrian Baddeley
  • 4. Asymptotic methods in statistics of random point processes / Lothar Heinrich
  • 5. Random tessellations and Cox processes / Florian Voss, Catherine Gloaguen and Volker Schmidt
  • 6. Asymptotic methods for random tessellations / Pierre Calka
  • 7. Random polytopes / Daniel Hug
  • 8. Limit theorems in discrete stochastic geometry / Joseph Yukich
  • 9. Introduction to random fields / Alexander Bulinski and Evgeny Spodarev
  • 10. Central limit theorems for weakly dependent random fields / Alexander Bulinski and Evgeny Spodarev
  • 11. Strong limit theorems for increments of random fields / Ulrich Stadtmüller
  • 12. Geometry of large random trees: SPDE approximation / Yuri Bakhtin.
Description
xxiv, 446 p. : ill. ; 23 cm.
Notes
  • 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.
  • Includes bibliographical references (p. 421-440) and index.
Series Statement
Lecture notes in mathematics ; 2068
Lecture notes in mathematics (Springer-Verlag) 2068
Technical Details
  • Access in Virgo Classic
  • Staff View

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    a| 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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    a| 1. Foundations of stochastic geometry and theory of random sets / Ilya Molchanov -- 2. Introduction into integral geometry and stereology / Markus Kiderlen -- 3. Spatial point patterns : models and statistics / Adrian Baddeley -- 4. Asymptotic methods in statistics of random point processes / Lothar Heinrich -- 5. Random tessellations and Cox processes / Florian Voss, Catherine Gloaguen and Volker Schmidt -- 6. Asymptotic methods for random tessellations / Pierre Calka -- 7. Random polytopes / Daniel Hug -- 8. Limit theorems in discrete stochastic geometry / Joseph Yukich -- 9. Introduction to random fields / Alexander Bulinski and Evgeny Spodarev -- 10. Central limit theorems for weakly dependent random fields / Alexander Bulinski and Evgeny Spodarev -- 11. Strong limit theorems for increments of random fields / Ulrich Stadtmüller -- 12. Geometry of large random trees: SPDE approximation / Yuri Bakhtin.
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    a| Spatial analysis (Statistics)
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    a| Random fields.
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