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Almost Sure Invariance Principles for Partial Sums of Weakly Dependent Random Variables.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1975Copyright date: ©1975Edition: 1st edDescription: 1 online resource (145 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470405472
Subject(s): Genre/Form: Additional physical formats: Print version:: Almost Sure Invariance Principles for Partial Sums of Weakly Dependent Random VariablesDDC classification:
  • 510/.8 s;519.2
LOC classification:
  • QA273 -- .P45 1975eb
Online resources:
Contents:
Intro -- Table of Contents -- Chapter 1. Introduction -- Chapter 2. Description of the Method -- Chapter 3. Lacunary Trigonometric Series with Unweighted Summands -- Chapter 4. Stationary Φ-mixing Sequences -- Chapter 5. Gaussian Sequences -- Chapter 6. Lacunary Trigonometric Series with Weights -- Chapter 7. Functions of Strongly Mixing Random Variables -- Chapter 8. Nonstationary Mixing Sequences -- Chapter 9. A Refinement of the Shannon-McMillan-Breiman Theorem -- Chapter 10. Markov Sequences -- Chapter 11. Retarded Asymptotic Martingale Difference Sequences -- Chapter 12. Continuous Parameter Stochastic Processes -- Appendix 1. The Gaal-Koksma Strong Law of Large Numbers -- Appendix 2. An Example -- References.
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Intro -- Table of Contents -- Chapter 1. Introduction -- Chapter 2. Description of the Method -- Chapter 3. Lacunary Trigonometric Series with Unweighted Summands -- Chapter 4. Stationary Φ-mixing Sequences -- Chapter 5. Gaussian Sequences -- Chapter 6. Lacunary Trigonometric Series with Weights -- Chapter 7. Functions of Strongly Mixing Random Variables -- Chapter 8. Nonstationary Mixing Sequences -- Chapter 9. A Refinement of the Shannon-McMillan-Breiman Theorem -- Chapter 10. Markov Sequences -- Chapter 11. Retarded Asymptotic Martingale Difference Sequences -- Chapter 12. Continuous Parameter Stochastic Processes -- Appendix 1. The Gaal-Koksma Strong Law of Large Numbers -- Appendix 2. An Example -- References.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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