Results 31 to 40 of about 132 (45)
The shape of incomplete preferences
Incomplete preferences provide the epistemic foundation for models of imprecise subjective probabilities and utilities that are used in robust Bayesian analysis and in theories of bounded rationality.
Nau, Robert
core +3 more sources
Where do statistical models come from? Revisiting the problem of specification
R. A. Fisher founded modern statistical inference in 1922 and identified its fundamental problems to be: specification, estimation and distribution. Since then the problem of statistical model specification has received scant attention in the statistics ...
Spanos, Aris
core +2 more sources
Asymptotic inference for high-dimensional data
In this paper, we study inference for high-dimensional data characterized by small sample sizes relative to the dimension of the data. In particular, we provide an infinite-dimensional framework to study statistical models that involve situations in ...
Kuelbs, Jim, Vidyashankar, Anand N.
core +1 more source
Extended statistical modeling under symmetry; the link toward quantum mechanics
We derive essential elements of quantum mechanics from a parametric structure extending that of traditional mathematical statistics. The basic setting is a set $\mathcal{A}$ of incompatible experiments, and a transformation group $G$ on the cartesian ...
Helland, Inge S.
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Causal interpretation of stochastic differential equations
We give a causal interpretation of stochastic differential equations (SDEs) by defining the postintervention SDE resulting from an intervention in an SDE.
Hansen, Niels Richard, Sokol, Alexander
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Multivariate log-concave distributions as a nearly parametric model [PDF]
In this paper we show that the family Pd(lc) of probability distributions on ℝd with log-concave densities satisfies a strong continuity condition. In particular, it turns out that weak convergence within this family entails (i) convergence in total ...
Dümbgen, Lutz +2 more
core
Identifying the consequences of dynamic treatment strategies: A decision-theoretic overview
We consider the problem of learning about and comparing the consequences of dynamic treatment strategies on the basis of observational data. We formulate this within a probabilistic decision-theoretic framework. Our approach is compared with related work
Dawid, A. Philip, Didelez, Vanessa
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Brittleness of Bayesian inference and new Selberg formulas [PDF]
The incorporation of priors in the Optimal Uncertainty Quantification (OUQ) framework \cite{OSSMO:2011} reveals brittleness in Bayesian inference; a model may share an arbitrarily large number of finite-dimensional marginals with, or be arbitrarily close
Owhadi, Houman, Scovel, Clint
core +2 more sources
On the frequentist and Bayesian approaches to hypothesis testing [PDF]
Hypothesis testing is a model selection problem for which the solution proposed by the two main statistical streams of thought, frequentists and Bayesians, substantially differ.
Girón, F. Javier, Moreno, Elías
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Comment on: “Decision-theoretic foundations for statistical causality”
Shpitser Ilya
doaj +1 more source

