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Probability essentials
Overview of attention for book
Table of Contents
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Book Overview
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Chapter 1
Introduction
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Chapter 2
Axioms of Probability
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Chapter 3
Conditional Probability and Independence
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Chapter 4
Probabilities on a Finite or Countable Space
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Chapter 5
Random Variables on a Countable Space
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Chapter 6
Construction of a Probability Measure
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Chapter 7
Construction of a Probability Measure on R
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Chapter 8
Random Variables
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Chapter 9
Integration with Respect to a Probability Measure
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Chapter 10
Independent Random Variables
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Chapter 11
Probability Distributions on R
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Chapter 12
Probability Distributions on R n
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Chapter 13
Characteristic Functions
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Chapter 14
Properties of Characteristic Functions
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Chapter 15
Sums of Independent Random Variables
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Chapter 16
Gaussian Random Variables (The Normal and the Multivariate Normal Distributions)
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Chapter 17
Convergence of Random Variables
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Chapter 18
Weak Convergence
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Chapter 19
Weak Convergence and Characteristic Functions
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Chapter 20
The Laws of Large Numbers
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Chapter 21
The Central Limit Theorem
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Chapter 22
L 2 and Hilbert Spaces
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Chapter 23
Conditional Expectation
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Chapter 24
Martingales
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Chapter 25
Supermartingales and Submartingales
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Chapter 26
Martingale Inequalities
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Chapter 27
Martingale Convergence Theorems
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Chapter 28
The Radon-Nikodym Theorem
Overall attention for this book and its chapters
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Mentioned by
twitter
2
X users
syllabi
14
institutions with syllabi
wikipedia
3
Wikipedia pages
q&a
1
Q&A thread
Citations
dimensions_citation
160
Dimensions
Readers on
mendeley
1
Mendeley
Book overview
1. Introduction
2. Axioms of Probability
3. Conditional Probability and Independence
4. Probabilities on a Finite or Countable Space
5. Random Variables on a Countable Space
6. Construction of a Probability Measure
7. Construction of a Probability Measure on R
8. Random Variables
9. Integration with Respect to a Probability Measure
10. Independent Random Variables
11. Probability Distributions on R
12. Probability Distributions on R n
13. Characteristic Functions
14. Properties of Characteristic Functions
15. Sums of Independent Random Variables
16. Gaussian Random Variables (The Normal and the Multivariate Normal Distributions)
17. Convergence of Random Variables
18. Weak Convergence
19. Weak Convergence and Characteristic Functions
20. The Laws of Large Numbers
21. The Central Limit Theorem
22. L 2 and Hilbert Spaces
23. Conditional Expectation
24. Martingales
25. Supermartingales and Submartingales
26. Martingale Inequalities
27. Martingale Convergence Theorems
28. The Radon-Nikodym Theorem
Summary
X
Syllabi
Wikipedia
Q&A
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
27
syllabi from
14
institutions on Open Syllabus Project.
Institution
Syllabi count
Course subject areas covered
University of Colorado at Boulder
5
Economics
University of Malta
3
Unknown
University of North Carolina at Chapel Hill
3
Economics, Business
King's College London, University of London
3
Unknown
Oregon State University
2
Unknown
Illinois Institute of Technology
2
Unknown
Oxford Brookes University
1
Unknown
Georgia State University
1
Business
Indian Institute of Technology, Guwahati
1
Medicine
North Carolina State University at Raleigh
1
Medicine
University of Florida
1
Unknown
Georg-August Universität Göttingen
1
Performing Arts
University of Warwick
1
Business
Unknown
2
Linguistics, Education