This entry deals with the de Finetti representation theorem of the law of a sequence of exchangeable random elements. In addition to the formulation of the theorem and a few comments on its proof, its impact on the foundations of statistics (principle of induction) is analyzed
Given a sequence {X_n} of exchangeable Bernoulli random variables, the celebrated de Finetti represe...
Mixtures of binomial distributions have been recently introduced in Statistical Physics both in theo...
The fundamental contributions of Bruno de Finetti are the concept of exchangeability and de Finetti-...
This paper reconsider the fundamental de Finetti’s representation theorem. It is stressed its role a...
A finite form of de Finetti’s representation theorem is established using elementary information-the...
AbstractWe prove de Finetti style representation theorems covering the class of all probability func...
AbstractThe extended de Finetti theorem characterizes exchangeable infinite sequences of random vari...
The extended de Finetti theorem characterizes exchangeable infinite sequences of random variables as...
We present a novel analogue for finite exchangeable sequences of the de Finetti, Hewitt and Savage t...
AbstractWe prove a computable version of the de Finetti theorem on exchangeable sequences of real ra...
We prove a uniformly computable version of de Finetti’s theorem on exchangeable sequences of real ra...
We present a novel proof of de Finetti’s Theorem characterizing permutation-invariant probability me...
A finite exchangeable sequence (ξ1,...,ξN) need not satisfy de Finetti's conditional representation,...
ii Gábor J. Székely, Advisor The focus of this research was to explore the mathematical uses of si...
In the second volume of “An introduction to Probability Theory and Its Applications”, Feller (1966) ...
Given a sequence {X_n} of exchangeable Bernoulli random variables, the celebrated de Finetti represe...
Mixtures of binomial distributions have been recently introduced in Statistical Physics both in theo...
The fundamental contributions of Bruno de Finetti are the concept of exchangeability and de Finetti-...
This paper reconsider the fundamental de Finetti’s representation theorem. It is stressed its role a...
A finite form of de Finetti’s representation theorem is established using elementary information-the...
AbstractWe prove de Finetti style representation theorems covering the class of all probability func...
AbstractThe extended de Finetti theorem characterizes exchangeable infinite sequences of random vari...
The extended de Finetti theorem characterizes exchangeable infinite sequences of random variables as...
We present a novel analogue for finite exchangeable sequences of the de Finetti, Hewitt and Savage t...
AbstractWe prove a computable version of the de Finetti theorem on exchangeable sequences of real ra...
We prove a uniformly computable version of de Finetti’s theorem on exchangeable sequences of real ra...
We present a novel proof of de Finetti’s Theorem characterizing permutation-invariant probability me...
A finite exchangeable sequence (ξ1,...,ξN) need not satisfy de Finetti's conditional representation,...
ii Gábor J. Székely, Advisor The focus of this research was to explore the mathematical uses of si...
In the second volume of “An introduction to Probability Theory and Its Applications”, Feller (1966) ...
Given a sequence {X_n} of exchangeable Bernoulli random variables, the celebrated de Finetti represe...
Mixtures of binomial distributions have been recently introduced in Statistical Physics both in theo...
The fundamental contributions of Bruno de Finetti are the concept of exchangeability and de Finetti-...
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