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A Modern Approach to Probability Theory
Overview of attention for book
Table of Contents
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Book Overview
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Chapter 1
Probability Spaces
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Chapter 2
Random Variables
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Chapter 3
Distribution Functions
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Chapter 4
Expectations: Theory
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Chapter 5
Expectations: Applications
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Chapter 6
Calculating Probabilities and Measures
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Chapter 7
Measure Theory: Existence and Uniqueness
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Chapter 8
Integration Theory
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Chapter 9
Stochastic Independence
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Chapter 10
Sums of Independent Random Variables
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Chapter 11
Random Walk
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Chapter 12
Theorems of A.S. Convergence
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Chapter 13
Characteristic Functions
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Chapter 14
Convergence in Distribution on the Real Line
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Chapter 15
Distributional Limit Theorems for Partial Sums
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Chapter 16
Infinitely Divisible Distributions as Limits
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Chapter 17
Stable Distributions as Limits
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Chapter 18
Convergence in Distribution on Polish Spaces
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Chapter 19
The Invariance Principle and Brownian Motion
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Chapter 20
Spaces of Random Variables
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Chapter 21
Conditional Probabilities
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Chapter 22
Construction of Random Sequences
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Chapter 23
Conditional Expectations
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Chapter 24
Martingales
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Chapter 25
Renewal Sequences
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Chapter 26
Time-homogeneous Markov Sequences
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Chapter 27
Exchangeable Sequences
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Chapter 28
Stationary Sequences
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Chapter 29
Point Processes
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Chapter 30
Lévy Processes
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Chapter 31
Introduction to Markov Processes
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Chapter 32
Interacting Particle Systems
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Chapter 33
Diffusions and Stochastic Calculus
Overall attention for this book and its chapters
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Mentioned by
twitter
2
X users
syllabi
6
institutions with syllabi
wikipedia
3
Wikipedia pages
Citations
dimensions_citation
257
Dimensions
Readers on
mendeley
4
Mendeley
Book overview
1. Probability Spaces
2. Random Variables
3. Distribution Functions
4. Expectations: Theory
5. Expectations: Applications
6. Calculating Probabilities and Measures
7. Measure Theory: Existence and Uniqueness
8. Integration Theory
9. Stochastic Independence
10. Sums of Independent Random Variables
11. Random Walk
12. Theorems of A.S. Convergence
13. Characteristic Functions
14. Convergence in Distribution on the Real Line
15. Distributional Limit Theorems for Partial Sums
16. Infinitely Divisible Distributions as Limits
17. Stable Distributions as Limits
18. Convergence in Distribution on Polish Spaces
19. The Invariance Principle and Brownian Motion
20. Spaces of Random Variables
21. Conditional Probabilities
22. Construction of Random Sequences
23. Conditional Expectations
24. Martingales
25. Renewal Sequences
26. Time-homogeneous Markov Sequences
27. Exchangeable Sequences
28. Stationary Sequences
29. Point Processes
30. Lévy Processes
31. Introduction to Markov Processes
32. Interacting Particle Systems
33. Diffusions and Stochastic Calculus
Summary
X
Syllabi
Wikipedia
Dimensions citations
This data is correct as of December 2015 - for more up to date information, please visit
https://opensyllabus.org/
So far, Altmetric has seen this research output assigned in
9
syllabi from
6
institutions on Open Syllabus Project.
Institution
Syllabi count
Course subject areas covered
Georgia Institute of Technology-Main Campus
2
Unknown
University of Utah
1
Computer Science, Biology
Heriot-Watt University
1
Unknown
Cleveland State University
1
Unknown
The University of Texas at Austin
1
Unknown
Unknown
3
Linguistics, Education