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EBSCO_ocn179869682 |
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|a UAMI
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1 |
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|a Chung, Kai Lai,
|d 1917-2009.
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| 245 |
1 |
2 |
|a A course in probability theory /
|c Kai Lai Chung.
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|a 3rd ed.
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| 260 |
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|a San Diego :
|b Academic Press,
|c ©2001.
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| 300 |
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|a 1 online resource (xvi, 419 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
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|a Includes bibliographical references (pages 413-414) and index.
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|a Print version record.
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|a Cover -- Title Page -- Copyright Page -- Contents -- Preface to the third edition -- Preface to the second edition -- Preface to the first edition -- Chapter 1. Distribution function -- 1.1 Monotone functions -- 1.2 Distribution functions -- 1.3 Absolutely continuous and singular distributions -- Chapter 2. Measure theory -- 2.1 Classes of sets -- 2.2 Probability measures and their distribution functions -- Chapter 3. Random variable. Expectation. Independence -- 3.1 General definitions -- 3.2 Properties of mathematical expectation -- 3.3 Independence -- Chapter 4. Convergence concepts -- 4.1 Various modes of convergence -- 4.2 Almost sure convergence; Borel-Cantelli lemma -- 4.3 Vague convergence -- 4.4 Continuation -- 4.5 Uniform integrability; convergence of moments -- Chapter 5. Law of large numbers. Random series -- 5.1 Simple limit theorems -- 5.2 Weak law of large numbers -- 5.3 Convergence of series -- 5.4 Strong law of large numbers -- 5.5 Applications -- Bibliographical Note -- Chapter 6. Characteristic function -- 6.1 General properties; convolutions -- 6.2 Uniqueness and inversion -- 6.3 Convergence theorems -- 6.4 Simple applications -- 6.5 Representation theorems -- 6.6 Multidimensional case; Laplace transforms -- Bibliographical Note -- Chapter 7. Central limit theorem and its ramifications -- 7.1 Liapounov's theorem -- 7.2 Lindeberg-Feller theorem -- 7.3 Ramifications of the central limit theorem -- 7.4 Error estimation -- 7.5 Law of the iterated logarithm -- 7.6 Infinite divisibility -- Bibliographical Note -- Chapter 8. Random walk -- 8.1 Zero-or-one laws -- 8.2 Basic notions -- 8.3 Recurrence -- 8.4 Fine structure -- 8.5 Continuation -- Bibliographical Note -- Chapter 9. Conditioning. Markov property. Martingale -- 9.1 Basic properties of conditional expectation -- 9.2 Conditional independence; Markov property -- 9.3 Basic properties of smartingales -- 9.4 Inequalities and convergence -- 9.5 Applications -- Bibliographical Note -- Supplement: Measure and Integral -- 1 Construction of measure -- 2 Characterization of extensions -- 3 Measures in R -- 4 Integral -- 5 Applications -- General Bibliography -- Index -- Last Page
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| 590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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| 650 |
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0 |
|a Probabilities.
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| 650 |
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|a Probabilités.
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| 650 |
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7 |
|a probability.
|2 aat
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| 650 |
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|a MATHEMATICS
|x Probability & Statistics
|x General.
|2 bisacsh
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| 650 |
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7 |
|a Probabilities.
|2 fast
|0 (OCoLC)fst01077737
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| 776 |
0 |
8 |
|i Print version:
|a Chung, Kai Lai, 1917-2009.
|t Course in probability theory.
|b 3rd ed.
|d San Diego : Academic Press, ©2001
|z 0121741516
|z 9780121741518
|w (DLC) 00106712
|w (OCoLC)45622341
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|z Texto completo
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