Probability and stochastics

This text is an introduction to the modern theory and applications of probability and stochastics. The style and coverage is geared towards the theory of stochastic processes, but with some attention to the applications. In many instances the gist of the problem is introduced in practical, everyday...

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Bibliographische Detailangaben
1. Verfasser: Cınlar, Erhan, 1941-
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: New York, NY : Springer New York [20..].
Cham : Springer Nature
Ausgabe:1st ed. 2011.
Schriftenreihe:Graduate Texts in Mathematics 261
Schlagworte:
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Anmerkung: Description d'après consultation du 20 avril 2012
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Edition sous un autre format:• Probability and stochastics, Erhan Çinlar, New York, Springer, 2011, 1 vol. (XIII-557 p.), Graduate texts in mathematics, 978-0-387-87858-4
• Probability and Stochastics, Texte imprimé, 9780387879239
• Probability and stochastics, Erhan Çinlar, New York, Springer, 2011, 1 vol. (XIII-557 p.), Graduate texts in mathematics, 978-0-387-87858-4
• Probability and Stochastics, Texte imprimé, 9781461428121
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504 |a Bibliogr. p. 541-549 Index p. 550-556 
505 1 |a Preface Measure and Integration Probability Spaces Convergence Conditioning Martingales and Stochastics Poisson Random Measures Levy Processes Index Bibliography. 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a This text is an introduction to the modern theory and applications of probability and stochastics. The style and coverage is geared towards the theory of stochastic processes, but with some attention to the applications. In many instances the gist of the problem is introduced in practical, everyday language and then is made precise in mathematical form.   The first four chapters are on probability theory: measure and integration, probability spaces, conditional expectations, and the classical limit theorems. There follows chapters on martingales, Poisson random measures, Levy Processes, Brownian motion, and Markov Processes. Special attention is paid to Poisson random measures and their roles in regulating the excursions of Brownian motion and the jumps of Levy and Markov processes. Each chapter has a large number of varied examples and exercises.    The book is based on the author s lecture notes in courses offered over the years at Princeton University. These courses attracted graduate students from engineering, economics, physics, computer sciences, and mathematics.   Erhan Çinlar has received many awards for excellence in teaching, including the President s Award for Distinguished Teaching at Princeton University. His research interests include theories of Markov processes, point processes, stochastic calculus, and stochastic flows. The book is full of insights and observations that only a lifetime researcher in probability can have, all told in a lucid yet precise style. 
650 |a Probabilités 
650 |a Processus stochastiques 
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