Articoli correlati a Probability Theory: An Advanced Course
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This book is an advanced text on probability theory. By presupposing the background of a standard first course in real analysis and a 'soft' course in probability theory, it gives a compact treatment of several key topics in probability, selected on the basis of their importance in forming the foundations of the modern theory of stochastic processes. It is ideal for graduate students and researchers in probability theory and stochastic processes and their applications. It is also well suited for scientists in allied fields such as mathematical statistics/ economics/physics, electrical engineering, operations research who wish to augment their background in probability theory.
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Contenuti
1 Introduction.- 1.1 Random Variables.- 1.2 Monotone Class Theorems.- 1.3 Expectations and Uniform Integrability.- 1.4 Independence.- 1.5 Convergence Concepts.- 1.6 Additional Exercises.- 2 Spaces of Probability Measures.- 2.1 The Prohorov Topology.- 2.2 Skorohod’s Theorem.- 2.3 Compactness in P(S).- 2.4 Complete Metrics on P(S).- 2.5 Characteristic Functions.- 2.6 Additional Exercises.- 3 Conditioning and Martingales.- 3.1 Conditional Expectations.- 3.2 Martingales.- 3.3 Convergence Theorems.- 3.4 Martingale Inequalities.- 3.5 Additional Exercises.- 4 Basic Limit Theorems.- 4.1 Introduction.- 4.2 Strong Law of Large Numbers.- 4.3 Central Limit Theorem.- 4.4 The Law of Iterated Logarithms.- 4.5 Large Deviations.- 4.6 Tests for Convergence.- 4.7 Additional Exercises.- 5 Markov Chains.- 5.1 Construction and the Strong Markov Property.- 5.2 Classification of States.- 5.3 Stationary Distributions.- 5.4 Transient and Null Recurrent Chains.- 5.5 Additional Exercises.- 6 Foundations of Continuous-Time Processes.- 6.1 Introduction.- 6.2 Separability and Measurability.- 6.3 Continuous Versions.- 6.4 Cadlag Versions.- 6.5 Examples of Stochastic Processes.- 6.6 Additional Exercises.- References.
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Book by Borkar Vivek S
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Probability Theory: An Advanced Course (Universitext)
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Paperback. Condizione: Good. Good - Bumped and creased book with tears to the extremities, but not affecting the text block, may have remainder mark or previous owner's name - GOOD PAPERBACK Standard-sized. Codice articolo M038794558XZ3
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Probability Theory : An Advanced Course
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Probability Theory: An Advanced Course (Universitext)
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Probability Theory (Paperback)
Editore:
Springer-Verlag New York Inc., New York, NY, 1995
ISBN 10: 038794558X
ISBN 13: 9780387945583
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Prima edizione
Da: Grand Eagle Retail, Mason, OH, U.S.A.
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Paperback. Condizione: new. Paperback. This book is an advanced text on probability theory. By presupposing the background of a standard first course in real analysis and a 'soft' course in probability theory, it gives a compact treatment of several key topics in probability, selected on the basis of their importance in forming the foundations of the modern theory of stochastic processes. It is ideal for graduate students and researchers in probability theory and stochastic processes and their applications. It is also well suited for scientists in allied fields such as mathematical statistics/ economics/physics, electrical engineering, operations research who wish to augment their background in probability theory. This book presents a selection of topics from probability theory. In the preface to his classic text on probability ('Probability', Addison Wesley, 1968), Leo Breiman speaks of the right and left hands of probability. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780387945583
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Probability Theory: An Advanced Course (Universitext)
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Probability Theory : An Advanced Course
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Probability Theory: An Advanced Course (Universitext)
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Probability Theory : An Advanced Course
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Probability Theory
Editore:
Springer New York Okt 1995, 1995
ISBN 10: 038794558X
ISBN 13: 9780387945583
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Taschenbuch
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents a selection of topics from probability theory. Essentially, the topics chosen are those that are likely to be the most useful to someone planning to pursue research in the modern theory of stochastic processes. The prospective reader is assumed to have good mathematical maturity. In particular, he should have prior exposure to basic probability theory at the level of, say, K.L. Chung's 'Elementary probability theory with stochastic processes' (Springer-Verlag, 1974) and real and functional analysis at the level of Royden's 'Real analysis' (Macmillan, 1968). The first chapter is a rapid overview of the basics. Each subsequent chapter deals with a separate topic in detail. There is clearly some selection involved and therefore many omissions, but that cannot be helped in a book of this size. The style is deliberately terse to enforce active learning. Thus several tidbits of deduction are left to the reader as labelled exercises in the main text of each chapter. In addition, there are supplementary exercises at the end. In the preface to his classic text on probability ('Probability', Addison Wesley, 1968), Leo Breiman speaks of the right and left hands of probability. 156 pp. Englisch. Codice articolo 9780387945583
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Probability Theory: An Advanced Course
Editore:
Springer-Verlag New York Inc., 1995
ISBN 10: 038794558X
ISBN 13: 9780387945583
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Paperback / softback
Da: THE SAINT BOOKSTORE, Southport, Regno Unito
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Paperback / softback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 259. Codice articolo C9780387945583
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