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Almost Sure Invariance Principles for Partial Sums of Weakly Dependent Random Variables
eBook ISBN: | 978-1-4704-0547-2 |
Product Code: | MEMO/2/161.E |
List Price: | $30.00 |
MAA Member Price: | $27.00 |
AMS Member Price: | $18.00 |
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Almost Sure Invariance Principles for Partial Sums of Weakly Dependent Random Variables
eBook ISBN: | 978-1-4704-0547-2 |
Product Code: | MEMO/2/161.E |
List Price: | $30.00 |
MAA Member Price: | $27.00 |
AMS Member Price: | $18.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 2; 1975; 140 ppMSC: Primary 60; Secondary 11; 42
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Table of Contents
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Chapters
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1. Introduction
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2. Description of the method
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3. Lacunary trigonometric series with unweighted summands
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4. Stationary $\phi $-mixing sequences
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5. Gaussian sequences
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6. Lacunary trigonometric series with weights
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7. Functions of strongly mixing random variables
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8. Nonstationary mixing sequences
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9. A refinement of the Shannon-McMillan-Breiman theorem
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10. Markov sequences
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11. Retarded asymptotic martingale difference sequences
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12. Continuous parameter stochastic processes
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Appendix I. The Gaal-Koksma strong law of large numbers
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Appendix I. An example
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
Volume: 2; 1975; 140 pp
MSC: Primary 60; Secondary 11; 42
-
Chapters
-
1. Introduction
-
2. Description of the method
-
3. Lacunary trigonometric series with unweighted summands
-
4. Stationary $\phi $-mixing sequences
-
5. Gaussian sequences
-
6. Lacunary trigonometric series with weights
-
7. Functions of strongly mixing random variables
-
8. Nonstationary mixing sequences
-
9. A refinement of the Shannon-McMillan-Breiman theorem
-
10. Markov sequences
-
11. Retarded asymptotic martingale difference sequences
-
12. Continuous parameter stochastic processes
-
Appendix I. The Gaal-Koksma strong law of large numbers
-
Appendix I. An example
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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