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Foundations of Modern Probability
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Author(s):
Olav Kallenberg
Publication date
(Print):
2002
Publisher:
Springer New York
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Modern Languages Open
Author and book information
Book
ISBN (Print):
978-1-4419-2949-5
ISBN (Electronic):
978-1-4757-4015-8
Publication date (Print):
2002
DOI:
10.1007/978-1-4757-4015-8
SO-VID:
aef39309-84b2-40db-a4d4-5fe33aaeff6c
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http://www.springer.com/tdm
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Book chapters
pp. 1
Measure Theory — Basic Notions
pp. 23
Measure Theory — Key Results
pp. 45
Processes, Distributions, and Independence
pp. 62
Random Sequences, Series, and Averages
pp. 83
Characteristic Functions and Classical Limit Theorems
pp. 103
Conditioning and Disintegration
pp. 119
Martingales and Optional Times
pp. 140
Markov Processes and Discrete-Time Chains
pp. 159
Random Walks and Renewal Theory
pp. 178
Stationary Processes and Ergodic Theory
pp. 202
Special Notions of Symmetry and Invariance
pp. 224
Poisson and Pure Jump-Type Markov Processes
pp. 249
Gaussian Processes and Brownian Motion
pp. 270
Skorohod Embedding and Invariance Principles
pp. 285
Independent Increments and Infinite Divisibility
pp. 307
Convergence of Random Processes, Measures, and Sets
pp. 329
Stochastic Integrals and Quadratic Variation
pp. 350
Continuous Martingales and Brownian Motion
pp. 367
Feller Processes and Semigroups
pp. 390
Ergodic Properties of Markov Processes
pp. 412
Stochastic Differential Equations and Martingale Problems
pp. 428
Local Time, Excursions, and Additive Functionals
pp. 450
One-Dimensional SDEs and Diffusions
pp. 470
Connections with PDEs and Potential Theory
pp. 490
Predictability, Compensation, and Excessive Functions
pp. 515
Semimartingales and General Stochastic Integration
pp. 537
Large Deviations
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