Topics in Spatial Stochastic Processes

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, July 1-8, 2001

  • Authors
  • Vincenzo Capasso
  • Ely Merzbach
  • B. Gail Ivanoff
  • Marco Dozzi
  • Robert C. Dalang
  • Thomas S. Mountford

Part of the Lecture Notes in Mathematics book series (LNM, volume 1802)

Table of contents

About this book

Introduction

The theory of stochastic processes indexed by a partially ordered set has been the subject of much research over the past twenty years. The objective of this CIME International Summer School was to bring to a large audience of young probabilists the general theory of spatial processes, including the theory of set-indexed martingales and to present the different branches of applications of this theory, including stochastic geometry, spatial statistics, empirical processes, spatial estimators and survival analysis. This theory has a broad variety of applications in environmental sciences, social sciences, structure of material and image analysis. In this volume, the reader will find different approaches which foster the development of tools to modelling the spatial aspects of stochastic problems.

Keywords

Brownian sheet Martingale Set-indexed martingales Stochastic processes nearest-particle system spatial statistics statistics stochastic geometry stochastic process

Bibliographic information

  • DOI https://doi.org/10.1007/b10143
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-00295-6
  • Online ISBN 978-3-540-36259-3
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book
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