W.S.Kendall earned a DPhil in probability theory at the University of Oxford in 1979, and then worked as a Lecturer and then Senior Lecturer in Statistics at Hull and Strathclyde Universities before coming to Warwick in 1988. He has authored or edited 5 books and published about 90 papers. At Warwick he has risen through the ranks from Lecturer to Reader to Professor, serving as Departmental Chair and now as co-Director of the innovative national Academy for PhD Training in Statistics. Other service has included acting as founding coordinating editor of the Stochastic Geometry and Statistical Applications section of the Advances in Applied Probability journal, as chief editor of Electronic Communications in Probability, as Scientific Secretary of the Bernoulli Society, and as Programme Chair for the Bernoulli/IMS World Congress, Barcelona 2004. His research interests lie in the interfaces between probability, geometry, and computing.I.Molchanov received his Ph.D. degree in mathematics from Kiev University (Ukraine) in 1987 and his Habilitation from TU Bergakademie Freiberg (Germany) in 1994. Between 1987 and 1992 he was an Assistant Professor at Kiev Technological Institute. From 1992 to 1994 he has been working at TU Bergakademie Freiberg as an Alexander von Humboldt Research Fellow. Then he took over a research position at Centrum voor Wiskunde en Informatica (CWI), Amsterdam. In December 1995 he joined the Department of Statistics of the University of Glasgow (Scotland) where he became Professor in Applied Probability in 1998. From 2002 he holds a chair in Probability Theory in the University of Bern. He has authored 3 books and published about 90 papers. His research interests are concentrated around random sets and their applications in probability, finance, statistics and image analysis.

This well written volume is a long awaited welcome, especially for a novice who desires to enter this fast growing interdisciplinary area, and a must have reference for researchers in the field.

• Preface ; 1. Classical stochastic geometry ; I NEW DEVELOPMENTS IN CLASSICAL STOCHASTIC GEOMETRY ; 2. Random polytopes ; 3. Modern random measures: Palm theory and related models ; 4. Limit theorems in stochastic geometry ; 5. Tessellations ; II STOCHASTIC GEOMETRY AND MODERN PROBABILITY ; 6. Percolation and random graphs ; 7. Random directed and on-line networks ; 8. Random fractals ; III STATISTICS AND STOCHASTIC GEOMETRY ; 9. Inference ; 10. Statistical shape theory ; 11. Set estimation ; 12. Data depth: multivariate statistics and geometry ; IV APPLICATIONS ; 13. Applications of stochastic geometry in image analysis ; 14. Stereology ; 15. Physics of spatially structured materials ; 16. Stochastic geometry and telecommunications networks ; 17. Random sets in finance and econometrics ; Index

W.S.Kendall earned a DPhil in probability theory at the University of Oxford in 1979, and then worked as a Lecturer and then Senior Lecturer in Statistics at Hull and Strathclyde Universities before coming to Warwick in 1988. He has authored or edited 5 books and published about 90 papers. At Warwick he has risen through the ranks from Lecturer to Reader to Professor, serving as Departmental Chair and now as co-Director of the innovative national Academy for PhD Training in Statistics. Other service has included acting as founding coordinating editor of the Stochastic Geometry and Statistical Applications section of the Advances in Applied Probability journal, as chief editor of Electronic Communications in Probability, as Scientific Secretary of the Bernoulli Society, and as Programme Chair for the Bernoulli/IMS World Congress, Barcelona 2004. His research interests lie in the interfaces between probability, geometry, and computing.I.Molchanov received his Ph.D. degree in mathematics from Kiev University (Ukraine) in 1987 and his Habilitation from TU Bergakademie Freiberg (Germany) in 1994. Between 1987 and 1992 he was an Assistant Professor at Kiev Technological Institute. From 1992 to 1994 he has been working at TU Bergakademie Freiberg as an Alexander von Humboldt Research Fellow. Then he took over a research position at Centrum voor Wiskunde en Informatica (CWI), Amsterdam. In December 1995 he joined the Department of Statistics of the University of Glasgow (Scotland) where he became Professor in Applied Probability in 1998. From 2002 he holds a chair in Probability Theory in the University of Bern. He has authored 3 books and published about 90 papers. His research interests are concentrated around random sets and their applications in probability, finance, statistics and image analysis.

This well written volume is a long awaited welcome, especially for a novice who desires to enter this fast growing interdisciplinary area, and a must have reference for researchers in the field.

• Preface ; 1. Classical stochastic geometry ; I NEW DEVELOPMENTS IN CLASSICAL STOCHASTIC GEOMETRY ; 2. Random polytopes ; 3. Modern random measures: Palm theory and related models ; 4. Limit theorems in stochastic geometry ; 5. Tessellations ; II STOCHASTIC GEOMETRY AND MODERN PROBABILITY ; 6. Percolation and random graphs ; 7. Random directed and on-line networks ; 8. Random fractals ; III STATISTICS AND STOCHASTIC GEOMETRY ; 9. Inference ; 10. Statistical shape theory ; 11. Set estimation ; 12. Data depth: multivariate statistics and geometry ; IV APPLICATIONS ; 13. Applications of stochastic geometry in image analysis ; 14. Stereology ; 15. Physics of spatially structured materials ; 16. Stochastic geometry and telecommunications networks ; 17. Random sets in finance and econometrics ; Index