[Wiley Series in Probability and Statistics] Convergence of Probability Measures || Some Notes on the Problems

✍ Scribed by Billingsley, Patrick

• Publisher: John Wiley & Sons, Inc.
• Year: 1999
• Tongue: English
• Weight: 934 KB
• Edition: 2
• Category: Article
• ISBN: 0471197459
• DOI: 10.1002/9780470316962.oth1

✦ Synopsis

In This New Edition, Patrick Billingsley Updates His Classic Work Convergence Of Probability Measures To Reflect Developments Of The Past Thirty Years. Dr. Billingsley Presents A Clear, Precise, Up-to-date Account Of Probability Limit Theory In Metric Spaces. He Incorporates Many Examples And Applications That Illustrate The Power And Utility Of This Theory In A Range Of Disciplines - From Analysis And Number Theory To Statistics, Engineering, Economics, And Population Biology.--book Jacket. Ch. 1. Weak Convergence In Metric Spaces -- Sect. 1. Measures On Metric Spaces -- Sect. 2. Properties Of Weak Convergence -- Sect. 3. Convergence In Distribution -- Sect. 4. Long Cycles And Large Divisors -- Sect. 5. Prohorov's Theorem -- Sect. 6. A Miscellany -- Ch. 2. The Space C -- Sect. 7. Weak Convergence And Tightness In C -- Sect. 8. Wiener Measure And Donsker's Theorem -- Sect. 9. Functions Of Brownian Motion Paths -- Sect. 10. Maximal Inequalities -- Sect. 11. Trigonometric Series -- Ch. 3. The Space D -- Sect. 12. The Geometry Of D -- Sect. 13. Weak Convergence And Tightness In D -- Sect. 14. Applications -- Sect. 15. Uniform Topologies -- Sect. 16. The Space D(0, [infinity]) -- Ch. 4. Dependent Variables -- Sect. 17. More On Prime Divisors -- Sect. 18. Martingales -- Sect. 19. Ergodic Processes -- Ch. 5. Other Modes Of Convergence -- Sect. 20. Convergence In Probability -- Sect. 21. Approximation By Independent Normal Sequences -- Sect. 22. Strassen's Theorem -- App. M. Metric Spaces. Analysis. Convexity. Probability. Patrick Billingsley. A Wiley-interscience Publication. Includes Bibliographical References And Indexes.