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Stochastic geometry, spatial statistics and random fields : asymptotic methods / Evgeny Spodarev, editor.

Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 2068.Publication details: Heidelberg : New York ; Springer, c2013.Description: xxiv, 446 p. : ill. (some col.) ; 23 cmISBN:
  • 9783642333040 (pbk. : alk. paper)
  • 3642333044 (pbk. : alk. paper)
Subject(s): DDC classification:
  • 519.2 23 Sp762
LOC classification:
  • QA273.5 .S745 2013
  • QA3 .L28 no.2068
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 Stadtm�uller -- 12. Geometry of large random trees: SPDE approximation / Yuri Bakhtin.
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Includes contributions presented at the Summer Academy on Stochastic Geometry, Spatial Statistics and Random Fields, held at the S�ollerhaus, 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.

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 Stadtm�uller -- 12. Geometry of large random trees: SPDE approximation / Yuri Bakhtin.

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