A Basic Course in Probability Theory
The book develops the necessary background in probability theory underlying diverse treatments of stochastic processes and their wide-ranging applications. With this goal in mind, the pace is lively, yet thorough. Basic notions of independence and conditional expectation are introduced relatively ea...
Sparad:
| Huvudupphovsmän: | , , |
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| Materialtyp: | Livre numérique |
| Språk: | Anglais |
| Publicerad: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Upplaga: | 1st ed. 2007. |
| Serie: | Universitext
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| Ämnen: | |
| Länkar: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmärkning: |
L'impression du document génère 222 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) Numérisation de l'édition de New York : Springer, cop. 2007 |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A basic course in probability theory, Rabi Bhattacharya, Edward C. Waymire, 2007, New York, Springer, 1 vol. (XII-210 p.), Universitext, 0-387-71938-5 |
| Sammanfattning: | The book develops the necessary background in probability theory underlying diverse treatments of stochastic processes and their wide-ranging applications. With this goal in mind, the pace is lively, yet thorough. Basic notions of independence and conditional expectation are introduced relatively early on in the text, while conditional expectation is illustrated in detail in the context of martingales, Markov property and strong Markov property. Weak convergence of probabilities on metric spaces and Brownian motion are two highlights. The historic role of size-biasing is emphasized in the contexts of large deviations and in developments of Tauberian Theory. The authors assume a graduate level of maturity in mathematics, but otherwise the book will be suitable for students with varying levels of background in analysis and measure theory. In particular, theorems from analysis and measure theory used in the main text are provided in comprehensive appendices, along with their proofs, for ease of reference. Rabi Bhattacharya is Professor of Mathematics at the University of Arizona. Edward Waymire is Professor of Mathematics at Oregon State University. Both authors have co-authored numerous books, including the graduate textbook, Stochastic Processes with Applications |
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| Beskrivning: | L'impression du document génère 222 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) Numérisation de l'édition de New York : Springer, cop. 2007 |
| Bibliografi: | Bibliogr. Index |
| ISBN: | 9780387719399 |
| ISSN: | 2191-6675 |
| Tillgång: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |