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...
সংরক্ষণ করুন:
| প্রধান লেখক: | , , |
|---|---|
| বিন্যাস: | Livre numérique |
| ভাষা: | Anglais |
| প্রকাশিত: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| সংস্করন: | 1st ed. 2007. |
| মালা: | Universitext
|
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| টীকা: |
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 |
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|---|---|---|---|
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| 008 | 080410q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN123146976 | ||
| 020 | |a 9780387719399 | ||
| 041 | 0 | |a eng | |
| 082 | |a 519.2 | ||
| 084 | |a 60-01. 2010 | ||
| 084 | |a 60F05. 2010 | ||
| 084 | |a 60J65. 2010 | ||
| 100 | 1 | |a Bhattacharya, Rabindra Nath, |d 1937- | |
| 245 | 1 | 0 | |a A Basic Course in Probability Theory |c Rabi Bhattacharya, Edward C. Waymire. |
| 250 | |a 1st ed. 2007. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a L'impression du document génère 222 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Numérisation de l'édition de New York : Springer, cop. 2007 | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Random Maps, Distribution, and Mathematical Expectation Independence, Conditional Expectation Martingales and Stopping Times Classical Zero One Laws, Laws of Large Numbers and Deviations Weak Convergence of Probability Measures Fourier Series, Fourier Transform, and Characteristic Functions Classical Central Limit Theorems Laplace Transforms and Tauberian Theorem Random Series of Independent Summands Kolmogorov's Extension Theorem and Brownian Motion Brownian Motion: The LIL and Some Fine-Scale Properties Skorokhod Embedding and Donsker's Invariance Principle A Historical Note on Brownian Motion | |
| 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 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 | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 650 | |a Théorèmes des limites (théorie des probabilités) | ||
| 650 | |a Distribution (théorie des probabilités) | ||
| 650 | |a Probabilités | ||
| 700 | 1 | |a Waymire, Edward C., |d 1949- |4 aut | |
| 700 | 1 | |a Waymire, Edward C. |4 aut | |
| 776 | 0 | |0 118632167 |t A basic course in probability theory |f Rabi Bhattacharya, Edward C. Waymire |d 2007 |c New York |n Springer |p 1 vol. (XII-210 p.) |s Universitext |z 0-387-71938-5 | |
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