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An introduction to measure-theoretic probability

An introduction to measure-theoretic probability (12회 대출)

자료유형
단행본
개인저자
Roussas, George G.
서명 / 저자사항
An introduction to measure-theoretic probability / George G. Roussas.
발행사항
Boston :   Elsevier Academic Press,   c2005.  
형태사항
xviii, 443 p. ; 24 cm.
ISBN
0125990227 (alk. paper)
서지주기
Includes bibliographical references (p. 431) and index.
일반주제명
Probabilities. Measure theory.
000 00955pamuu22002654a 4500
001 000045164019
005 20050418154148
008 040722s2005 mau b 001 0 eng
010 ▼a 2004017135
020 ▼a 0125990227 (alk. paper)
040 ▼a DLC ▼c DLC ▼d DLC ▼d 211009
042 ▼a pcc
050 0 0 ▼a QA273 ▼b .R864 2005
082 0 0 ▼a 519.2 ▼2 22
090 ▼a 519.2 ▼b R864in
100 1 ▼a Roussas, George G.
245 1 3 ▼a An introduction to measure-theoretic probability / ▼c George G. Roussas.
260 ▼a Boston : ▼b Elsevier Academic Press, ▼c c2005.
300 ▼a xviii, 443 p. ; ▼c 24 cm.
504 ▼a Includes bibliographical references (p. 431) and index.
650 0 ▼a Probabilities.
650 0 ▼a Measure theory.

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 중앙도서관/서고7층/ 청구기호 519.2 R864in 등록번호 111315294 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차

Preface
1. Certain Classes of Sets, Measurability, Pointwise Approximation
2. Definition and Construction of a Measure and Its Basic Properties
3. Some Modes of Convergence of a Sequence of Random Variables and Their Relationships
4. The Integral of a Random Variable and Its Basic Properties
5. Standard Convergence Theorems, The Fubini Theorem
6. Standard Moment and Probability Inequalities, Convergence in the r-th Mean and Its Implications
7. The Hahn-Jordan Decomposition Theorem, The Lebesgue Decomposition Theorem, and The Radon-Nikcodym Theorem
8. Distribution Functions and Their Basic Properties, Helly-Bray Type Results
9. Conditional Expectation and Conditional Probability, and Related Properties and Results
10. Independence
11. Topics from the Theory of Characteristic Functions
12. The Central Limit Problem: The Centered Case 13. The Central Limit Problem: The Noncentered Case
14. Topics from Sequences of Independent Random Variables
15. Topics from Ergodic Theory


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