نتایج جستجو برای: finite exchangeability

تعداد نتایج: 258627  

2014
Mathias Niepert Guy Van den Broeck

Exchangeability is a central notion in statistics and probability theory. The assumption that an infinite sequence of data points is exchangeable is at the core of Bayesian statistics. However, finite exchangeability as a statistical property that renders probabilistic inference tractable is less well-understood. We develop a theory of finite exchangeability and its relation to tractable probab...

2014
Mathias Niepert Guy Van den Broeck

Exchangeability is a central notion in statistics and probability theory. The assumption that an infinite sequence of data points is exchangeable is at the core of Bayesian statistics. However, finite exchangeability as a statistical property that renders probabilistic inference tractable is less well-understood. We develop a theory of finite exchangeability and its relation to tractable probab...

Journal: :Journal of Multivariate Analysis 1991

Journal: :The Annals of Probability 1992

2017
Arthur Van Camp Gert de Cooman

We investigate how to model exchangeability with choice functions. Exchangeability is a structural assessment on a sequence of uncertain variables. We show how such assessments are a special indifference assessment, and how that leads to a counterpart of de Finetti’s Representation Theorem, both in a finite and a countable context.

Journal: :Int. J. Approx. Reasoning 2012
Gert de Cooman Erik Quaeghebeur

Sets of desirable gambles constitute a quite general type of uncertainty model with an interesting geometrical interpretation. We give a general discussion of such models and their rationality criteria. We study exchangeability assessments for them, and prove counterparts of de Finetti’s finite and infinite representation theorems. We show that the finite representation in terms of count vector...

Journal: :IGTR 2013
R. K. Amit Parthasarathy Ramachandran

This paper characterizes the aspects of exchangeability in the Shapley value. We show that, in the Shapley value, each player’s prospects of joining a t-player game as the last member of the game is a moment sequence of the uniform distribution. We prove that, with finite exchangeability, the Shapley value is the only value in which the probability assignment is a unique mixture of independent ...

2009
Gert de Cooman Erik Quaeghebeur

Sets of desirable gambles constitute a quite general type of uncertainty model with an interesting geometrical interpretation. We study exchangeability assessments for such models, and prove a counterpart of de Finetti’s finite representation theorem. We show that this representation theorem has a very nice geometrical interpretation. We also lay bare the relationships between the representatio...

Journal: :iranian journal of science and technology (sciences) 2008
j. behboodian

let x ,..., xn 1 be a random sample from a distribution with sample mean x and samplevariance s 2. in this paper we consider certain very general properties of the so-called “z-scores”x x s i n i ( − )/ : = 1,...., . a representation theorem is then given for z-scores obtained from an underlyingnormal population, together with a theorem for their limiting distribution as the sample size tends t...

2009
GERT DE COOMAN ENRIQUE MIRANDA

This paper deals with belief models for both finite and countable sequences of exchangeable random variables taking a finite number of values. When such sequences of random variables are assumed to be exchangeable, this more-or-less means that the specific order in which they are observed is deemed irrelevant. The first detailed study of exchangeability was made by de Finetti [5] (with the term...

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