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1.

図書
図書
1. Theory of probability : a critical introductory treatment (v. 1 ; v. 2)
Bruno de Finetti ; translated by Antonio Machí and Adrian Smith
出版情報: London ; New York : Wiley, c1974-c1975  2 v. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics
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2.

図書
図書
2. Probability
Narayan C. Giri
出版情報: New York : M. Dekker, 1974  viii, 260 p. ; 24 cm
シリーズ名: Statistics : textbooks and monographs ; v. 7 . Introduction to probability and statistics ; pt. 1
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3.

図書
図書
3. Introduction to probability and statistics : concepts and principles
Harry Frank
出版情報: New York : Wiley, c1974  xvi, 431 p. ; 24 cm
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4.

図書
図書
4. The logical foundations of statistical inference (: cloth ; : pbk)
Henry E. Kyburg, Jr
出版情報: Dordrecht ; Boston : Reidel, c1974  ix, 427 p. ; 23 cm
シリーズ名: Synthese library ; v. 65
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5.

図書
図書
5. Probability and mathematical statistics
Lester D. Taylor
出版情報: New York : Harper & Row, c1974  xiv, 346 p. ; 24 cm
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6.

図書
図書
6. Applications of probability and random variables. 2nd ed
[by] George P. Wadsworth [and] Joseph G. Bryan
出版情報: New York : McGraw-Hill, [1974]  xv, 448 p. ; 24 cm
シリーズ名: McGraw-Hill series in probability and statistics / David Blackwell and Herbert Solomon, consulting editors
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7.

図書
図書
7. Mesures et probabilités
Charles-Michel Marle
出版情報: [Paris] : Hermann, [1974]  474 p. ; 25 cm
シリーズ名: Collection Enseignement des sciences ; 19
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8.

図書
図書
8. A course in probability theory. 2nd ed
Kai Lai Chung
出版情報: New York ; Tokyo : Academic Press, c1974  xii, 365 p. ; 23 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; 21
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目次情報: 続きを見る
Preface to the third edition
Preface to the second edition
Preface to the first edition
Distribution function / 1：
Monotone functions / 1.1：
Distribution functions / 1.2：
Absolutely continuous and singular distributions / 1.3：
Measure theory / 2：
Classes of sets / 2.1：
Probability measures and their distribution functions / 2.2：
Random variable. Expectation. Independence / 3：
General definitions / 3.1：
Properties of mathematical expectation / 3.2：
Independence / 3.3：
Convergence concepts / 4：
Various modes of convergence / 4.1：
Almost sure convergence; Borel-Cantelli lemma / 4.2：
Vague convergence / 4.3：
Continuation / 4.4：
Uniform integrability; convergence of moments / 4.5：
Law of large numbers. Random series / 5：
Simple limit theorems / 5.1：
Weak law of large numbers / 5.2：
Convergence of series / 5.3：
Strong law of large numbers / 5.4：
Applications / 5.5：
Bibliographical Note
Characteristic function / 6：
General properties; convolutions / 6.1：
Uniqueness and inversion / 6.2：
Convergence theorems / 6.3：
Simple applications / 6.4：
Representation theorems / 6.5：
Multidimensional case; Laplace transforms / 6.6：
Central limit theorem and its ramifications / 7：
Liapounov's theorem / 7.1：
Lindeberg-Feller theorem / 7.2：
Ramifications of the central limit theorem / 7.3：
Error estimation / 7.4：
Law of the iterated logarithm / 7.5：
Infinite divisibility / 7.6：
Random walk / 8：
Zero-or-one laws / 8.1：
Basic notions / 8.2：
Recurrence / 8.3：
Fine structure / 8.4：
Conditioning. Markov property. Martingale / 8.5：
Basic properties of conditional expectation / 9.1：
Conditional independence; Markov property / 9.2：
Basic properties of smartingales / 9.3：
Inequalities and convergence / 9.4：
Supplement: Measure and Integral / 9.5：
Construction of measure
Characterization of extensions
Measures in R
Integral
General Bibliography
Index
Preface to the third edition
Preface to the second edition
Preface to the first edition
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