Results 11 to 20 of about 24,702 (281)
Exchangeability -- in which the distribution of an infinite sequence is invariant to reorderings of its elements -- implies the existence of a simple conditional independence structure that may be leveraged in the design of statistical models and inference procedures.
Campbell, Trevor +4 more
openaire +4 more sources
Asymptotic Efficiency of Point Estimators in Bayesian Predictive Inference
The point estimation problems that emerge in Bayesian predictive inference are concerned with random quantities which depend on both observable and non-observable variables.
Emanuele Dolera
doaj +1 more source
Tractability through Exchangeability: A New Perspective on Efficient Probabilistic Inference [PDF]
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.
Broeck, Guy Van den, Niepert, Mathias
core +1 more source
A Central Limit Theorem for Predictive Distributions
Let S be a Borel subset of a Polish space and F the set of bounded Borel functions f:S→R. Let an(·)=P(Xn+1∈·∣X1,…,Xn) be the n-th predictive distribution corresponding to a sequence (Xn) of S-valued random variables.
Patrizia Berti +2 more
doaj +1 more source
Exchangeable choice functions [PDF]
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 Cooman, Gert, Van Camp, Arthur
core +3 more sources
Family-based multi-SNP X chromosome analysis using parental information
We propose a method for association analysis of haplotypes on the X chromosome that offers both improved power and robustness to population stratification in studies of affected offspring and their parents if all three have been genotyped.
Alison S. Wise +3 more
doaj +1 more source
On Exchangeability in Network Models [PDF]
We derive representation theorems for exchangeable distributions on finite and infinite graphs using elementary arguments based on geometric and graph-theoretic concepts.
Lauritzen, Steffen L. +2 more
core +2 more sources
Implementing Markovian models for extendible Marshall–Olkin distributions
We derive a novel stochastic representation of exchangeable Marshall–Olkin distributions based on their death-counting processes. We show that these processes are Markov.
Sloot Henrik
doaj +1 more source
Integrated multiple mediation analysis: A robustness–specificity trade-off in causal structure [PDF]
Recent methodological developments in causal mediation analysis have addressed several issues regarding multiple mediators. However, these developed methods differ in their definitions of causal parameters, assumptions for identification, and ...
Albert JM +42 more
core +2 more sources
The Problem of Analogical Inference in Inductive Logic [PDF]
We consider one problem that was largely left open by Rudolf Carnap in his work on inductive logic, the problem of analogical inference. After discussing some previous attempts to solve this problem, we propose a new solution that is based on the ideas ...
Huttegger, Simon M.
core +2 more sources

