منابع مشابه
Notes on Constructive Set Theory
4 Operations on Sets and Classes 25 4.1 Class Notation . . . . . . . . . . . . . . . . . . . . . . . . . . 25 4.2 Class Relations and Functions . . . . . . . . . . . . . . . . . . 26 4.3 Some Consequences of Union-Replacement . . . . . . . . . . . 27 4.4 Russell’s paradox . . . . . . . . . . . . . . . . . . . . . . . . . 29 4.5 Subset Collection and Exponentiation . . . . . . . . . . . . . . 30...
متن کاملNotes on Probability Theory
I Axioms of Probability 2 I-A Set Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 I-A1 Set Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 I-A1a Subsets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 I-A1b Mutually Exclusive Sets or Disjoint Sets . . . . . . . . . . . . . . . . . . . 2...
متن کاملNotes on Probability Theory
These notes are intended to give a solid introduction to Probability Theory with a reasonable level of mathematical rigor. Results are carefully stated, and many are proved. Numerous examples and exercises are included to illustrate the applications of the ideas. Many important concepts are already evident in simple situations and the notes include a review of elementary probability theory. c ©...
متن کاملNotes on Free Probability Theory
Lecture 1. Free Independence and Free Harmonic Analysis. 2 1.1. Probability spaces. 2 1.2. Non-commutative probability spaces. 3 1.3. Classical independence. 4 1.4. Free products of non-commutative probability spaces. 5 1.5. Free Fock space. 6 1.6. Free Central Limit Theorem. 8 1.7. Free Harmonic Analysis. 10 1.8. Further topics. 16 Lecture 2. Random Matrices and Free Probability. 17 2.1. Rando...
متن کاملSome notes on asymptotic theory in probability
We provide a precise account of some commonly used results from asymptotic theory in probability.
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1974
ISSN: 0091-1798
DOI: 10.1214/aop/1176996751