Topics in Spatial Stochastic Processes (eBook, PDF)

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

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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...

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