Set-indexed martingales

"Set-Indexed Martingales offers a unique, comprehensive development of a general theory of martingales indexed by a family of sets. The authors establish - for the first time - an appropriate framework that provides a suitable structure for a theory of set-indexed martingales with enough generality to include many interesting examples.". "Completely self-contained, the theoretical aspects of this work are rich and promising. With its many important applications - especially in the theory of spatial statistics and in stochastic geometry - Set-Indexed Martingales will undoubtedly generate great interest and inspire further research and development of the theory and applications."--BOOK JACKET.