Add to ORKGThis paper introduces a weak notion of equivalence of [sigma]-fields in a Bayesian framework. Some results and examples are given to show the usefulness of this concept in the study of the relationship between the independence of two [sigma]-fields and the conditional independence given its intersection.Weak equivalence Conditional independence Sampling conditional independence
Abstract—We take the point of view that a Markov random field is a collection of so-called full cond...
AbstractThe dependence concept of weak association is introduced and is shown to be equivalent to po...
A constructive definition of intercausal independence is given. It is well known that conditional in...
Throughout this section, (Ω,A,P) will be a statistical experiment, i.e., P is a family of probabilit...
In this paper, the concept of invariance, standard in measure theory, is extended to the conditional...
This paper contains several results and examples about the equivalence (including equivalence in a w...
This paper is concerned with the relationship between sufficiency, invariance and conditional indipe...
AbstractUpper and lower conditional probabilities are defined by Hausdorff outer and inner measures,...
This work investigates the intersection property of conditional independence. It states that for ran...
This paper is a companion paper of Florens and Mouchart [1977]. It provides some basic tools for the...
Conditional independence almost everywhere in the space of the conditioning variates does not imply ...
In this paper we propose a new procedure for testing independence of random variables, which is base...
This article introduces a Bayesian nonparametric method for quantifying the relative evidence in a d...
Three kinds of independence are of interest in the context of Bayesian networks, namely conditional ...
Let $(Omega,mathcalF,P)$ be a probability space and $mathcalN$ the class of those $FinmathcalF$ sat...
Abstract—We take the point of view that a Markov random field is a collection of so-called full cond...
AbstractThe dependence concept of weak association is introduced and is shown to be equivalent to po...
A constructive definition of intercausal independence is given. It is well known that conditional in...
Throughout this section, (Ω,A,P) will be a statistical experiment, i.e., P is a family of probabilit...
In this paper, the concept of invariance, standard in measure theory, is extended to the conditional...
This paper contains several results and examples about the equivalence (including equivalence in a w...
This paper is concerned with the relationship between sufficiency, invariance and conditional indipe...
AbstractUpper and lower conditional probabilities are defined by Hausdorff outer and inner measures,...
This work investigates the intersection property of conditional independence. It states that for ran...
This paper is a companion paper of Florens and Mouchart [1977]. It provides some basic tools for the...
Conditional independence almost everywhere in the space of the conditioning variates does not imply ...
In this paper we propose a new procedure for testing independence of random variables, which is base...
This article introduces a Bayesian nonparametric method for quantifying the relative evidence in a d...
Three kinds of independence are of interest in the context of Bayesian networks, namely conditional ...
Let $(Omega,mathcalF,P)$ be a probability space and $mathcalN$ the class of those $FinmathcalF$ sat...
Abstract—We take the point of view that a Markov random field is a collection of so-called full cond...
AbstractThe dependence concept of weak association is introduced and is shown to be equivalent to po...
A constructive definition of intercausal independence is given. It is well known that conditional in...