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Set-Indexed Martingales: 85 (Chapman & Hall/CRC Monographs on Statistics and Applied Probability) - Hardcover
Críticas
"a small, elegant volumeThis state-of-the-art monograph will be a valuable resource and stimulus for further work in the area." -Short Book Reviews of the ISI "I would recommend the book as an excellent introduction to set-indexed martingales. The foundations of the general theory are clearly presented and the reader is led to a point that is close to the current edge of research." --Simon Harris, University of Bath
Reseña del editor
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 Martingales with enough generality to include many interesting examples.
Developed from first principles, the theory brings together the theories of Martingales with a directed index set and set-indexed stochastic processes. Part One presents several classical concepts extended to this setting, including: stopping, predictability, Doob-Meyer decompositions, martingale characterizations of the set-indexed Poisson process, and Brownian motion. Part Two addresses convergence of sequences of set-indexed processes and introduces functional convergence for processes whose sample paths live in a Skorokhod-type space and semi-functional convergence for processes whose sample paths may be badly behaved.
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.
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- VerlagChapman and Hall/CRC
- Erscheinungsdatum1999
- ISBN 10 1584880821
- ISBN 13 9781584880820
- EinbandTapa dura
- SpracheEnglisch
- Auflage1
- Anzahl der Seiten224
- HerausgeberIsham Valerie, Cox D.R., Keiding Niels, Tibshirani R.J., Louis Thomas A., Tong Howell, Reid N.
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Set-Indexed Martingales (Volume 85)
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Zustand: Good. Volume 85. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:9781584880820. Artikel-Nr. 9981890
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Set-Indexed Martingales
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Set-Indexed Martingales
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Hardcover. Zustand: Brand New. 1st edition. 212 pages. 9.75x6.50x0.75 inches. In Stock. Artikel-Nr. __1584880821
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Ivanoff, B: Set-Indexed Martingales
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Zustand: New. Gail Ivanoff, Professor of Mathematics and Statistics, University of Ottawa, Ontario, Canada. Ely Merzbach, Professor of Mathematics and Computer Science, Bar-Ilan University, Ramat Gan, Israel.Set-Indexed Martingales offers a unique, comprehensive d. Artikel-Nr. 1441978970
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