Exchangeability and related topics

  • David J. Aldous
Conference paper

DOI: 10.1007/BFb0099421

Volume 1117 of the book series Lecture Notes in Mathematics (LNM)
Cite this paper as:
Aldous D.J. (1985) Exchangeability and related topics. In: Hennequin P.L. (eds) École d'Été de Probabilités de Saint-Flour XIII — 1983. Lecture Notes in Mathematics, vol 1117. Springer, Berlin, Heidelberg

Notation

"Positive", "increasing" are used in the weak sense

R

set of real numbers

ℤ; ℕ

set of all integers; set of natural numbers

#A

cardinality of set A

1A

indicator function/random variable: 1A(x)=1 for xεA=0 else

δa(·)

probability measure degenerate at a: δa(A)=1A(a)

F ⊂ G a.s.

for each G ε G there exists F ε F such that P(F Δ G)=0

F=G a.s.

F ⊂ G a.s. and G ⊂ F a.s.

F is trivial

F={φ,ω} a.s.

L(X)

distribution of random variable X

σ(X)

σ-field generated by X

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convergence in probability

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convergence in distribution

N(µ,σ2)

Normal distribution

U(0,1)

Uniform distribution on (0,1)

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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • David J. Aldous

There are no affiliations available