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book jacket
Title Probability and measure / Patrick Billingsley.
Author Billingsley, Patrick.
Published New York : Wiley, [1995]
©1995
Edition 3rd ed.
Description xii, 593 pages : illustrations ; 25 cm.
Format text; unmediated; volume
ISBN 0471007102 (acid-free paper)
9780471007104 (acid-free paper)
0471804789
9780471804789

Link to this record:
http://elibrary.mel.org/record=b20596165~S15
Series Wiley series in probability and mathematical statistics
Additional series info Wiley series in probability and mathematical statistics.
Bibliography Includes bibliographical references (pages 581-583) and index.
Contents Ch. 1. Probability. 1. Borel's Normal Number Theorem. 2. Probability Measures. 3. Existence and Extension. 4. Denumerable Probabilities. 5. Simple Random Variables. 6. The Law of Large Numbers. 7. Gambling Systems. 8. Markov Chains. 9. Large Deviations and the Law of the Iterated Logarithm -- Ch. 2. Measure. 10. General Measures. 11. Outer Measure. 12. Measures in Euclidean Space. 13. Measurable Functions and Mappings. 14. Distribution Functions -- Ch. 3. Integration. 15. The Integral. 16. Properties of the Integral. 17. The Integral with Respect to Lebesgue Measure. 18. Product Measure and Fubini's Theorem. 19. The L[superscript p] Spaces -- Ch. 4. Random Variables and Expected Values. 20. Random Variables and Distributions. 21. Expected Values. 22. Sums of Independent Random Variables. 23. The Poisson Process. 24. The Ergodic Theorem -- Ch. 5. Convergence of Distributions. 25. Weak Convergence. 26. Characteristic Functions. 27. The Central Limit Theorem. 28. Infinitely Divisible Distributions. 29. Limit Theorems in R[superscript k]. 30. The Method of Moments -- Ch. 6. Derivatives and Conditional Probability. 31. Derivatives on the Line. 32. The Radon-Nikodym Theorem. 33. Conditional Probability. 34. Conditional Expectation. 35. Martingales -- Ch. 7. Stochastic Processes. 36. Kolmogorov's Existence Theorem. 37. Brownian Motion. 38. Nondenumerable Probabilities.
Note "A Wiley-Interscience publication."
Subjects (Topics) Probabilities.
Measure theory.
Bib utility control no. 30735805

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LibraryShelving LocationCall Number and Serial HoldingsStatus
Calvin University & Seminary 5th Floor (J-Z) QA273 .B575 1986 AVAILABLE
Central Michigan Univ Park [MA4] QA273 .B575 1995 AVAILABLE
Eastern Michigan Univ arc QA273 .B575 1995 AVAILABLE
Grand Valley State University Mary Idema Pew Library - ASRS QA273 .B575 1995 AVAILABLE
MeL DCB System 1
retention note: Committed to retain 12-31-2027 MI-SPI pda EYR
Michigan Technological University stax QA273 .B575 1995 CHECKED OUT
Michigan Technological University stax QA273 .B575 1986 CHECKED OUT
Northern Michigan University nstacks QA273 .B575 1995 AVAILABLE
Oakland University Books QA273 .B575 1995 AVAILABLE
University of Detroit Mercy McNichols [dmmc] QA 273 .B575 1995 AVAILABLE
University of MI - Ann Arbor Shapiro - Science Book Stacks QA273 .B5751 1986 NOT REQUESTABLE
University of MI - Ann Arbor Shapiro - Science Book Stacks QA 273 .B5751 1995 NOT REQUESTABLE
Wayne State University Storage Blue QA 273 .B575 1986 AVAILABLE
Western Michigan Univ Waldo [general] QA273 .B575 1995 AVAILABLE
Western Michigan Univ Waldo [general] QA273 .B575 1986 AVAILABLE

 


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