Problems in probability

Problems in Probability  comprises one of the most comprehensive, nearly encyclopedic, collections of problems and exercises in probability theory. Albert Shiryaev has skillfully created, collected, and compiled  the exercises in this text over the course of many years while working on topics which...

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Dettagli Bibliografici
Autore principale: Širâev, Al½bert Nikolaevič, 1934-
Altri autori: Lyasoff, Andrew (Traduttore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: New York, NY : Springer New York : Springer e-books : Imprint: Springer : Springer e-books [20..].
Cham : Springer Nature
Serie:Problem Books in Mathematics
Problem books in mathematics
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Accesso online:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Problems in probability, Albert N. Shiryaev, 2012, New York [etc.], Springer, 1 vol. (XII-427 p.), Problem books in mathematics, 978-1-4614-3687-4
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100 1 |a Širâev, Al½bert Nikolaevič,  |d 1934- 
245 1 0 |a Problems in probability   |c Albert N. Shiryaev ; translated by Andrew Lyasoff. 
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490 0 |a Problem Books in Mathematics 
490 1 |a Problem books in mathematics 
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500 |a Archives Springer e-books (Licence nationale) 
504 |a Bibliogr.. Index 
505 0 |a Preface -- 1. Elementary Probability Theory -- 2. Mathematical Foundations of Probability Theory -- 3. Convergence of Probability Measures -- 4. Independent Random Variables -- 5. Stationary Random Sequences in Strict Sense -- 6. Stationary Random Sequences in Broad Sense -- 7. Martingales -- 8. Markov Chains -- Appendix -- References 
505 0 |a Preface -- 1. Elementary Probability Theory -- 2. Mathematical Foundations of Probability Theory -- 3. Convergence of Probability Measures -- 4. Independent Random Variables -- 5. Stationary Random Sequences in Strict Sense -- 6. Stationary Random Sequences in Broad Sense -- 7. Martingales -- 8. Markov Chains -- Appendix -- References 
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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 Problems in Probability  comprises one of the most comprehensive, nearly encyclopedic, collections of problems and exercises in probability theory. Albert Shiryaev has skillfully created, collected, and compiled  the exercises in this text over the course of many years while working on topics which interested him the most.   A substantial  number of the exercises resulted from diverse sources such as textbooks, lecture notes, exercise manuals, monographs, and discussions that took place during special seminars for graduate and undergraduate students. Many problems contain helpful hints and other relevant comments and a portion of the material covers some important applications from optimal control and mathematical finance. Readers of diverse backgrounds from students to researchers will find a great deal of value in this book and can treat the work as an exercise manual, a handbook, or as a supplementary text to a course in probability theory, control, and mathematical finance. The problems and exercises in this book vary in nature and degree of difficulty. Some problems are meant to test the reader s basic understanding, others are of medium-to-high degrees of difficulty and require more creative thinking. Other problems are meant to develop additional theoretical concepts and tools or to familiarize the reader with various facts that are not necessarily covered in mainstream texts. Additional problems are related to the passage from random walk to Brownian motions and Brownian bridges. The appendix contains a summary of the main results, notation and terminology that are used throughout the book.  It also contains additional material from combinatorics, potential theory and Markov chains subjects that are not covered in the book, but are nevertheless needed for many of the exercises included here 
650 |a Probabilités 
650 |a Processus stochastiques 
650 |a Distribution (théorie des probabilités) 
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