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The Logical Consistency of Simultaneous Agnostic Hypothesis Tests
TLDR
We show that the only tests that are in accordance with three logical requirements (monotonicity, invertibility and consonance) are trivial tests based on point estimation, which generally lack statistical optimality. Expand
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Quantification under prior probability shift: the ratio estimator and its extensions
TLDR
Using a weaker version of the prior shift assumption, which can be tested, we show that ratio estimators can be used to build confidence intervals for the quantification problem. Expand
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Sleeping Beauty’s Credences
The Sleeping Beauty problem has spawned a debate between “thirders” and “halfers” who draw conflicting conclusions about Sleeping Beauty's credence that a coin lands heads. Our analysis is based on aExpand
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Logically-consistent hypothesis testing and the hexagon of oppositions
TLDR
This paper characterizes the credal modalities in agnostic hypothesis tests and uses the hexagon of oppositions to explain the logical relations between these modalities. Expand
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Goalkeeper Game: A New Assessment Tool for Prediction of Gait Performance Under Complex Condition in People With Parkinson's Disease
Background: People with Parkinson's disease (PD) display poorer gait performance when walking under complex conditions than under simple conditions. Screening tests that evaluate gait performanceExpand
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Pragmatic Hypotheses in the Evolution of Science
TLDR
This paper introduces pragmatic hypotheses and relates this concept to the spiral of scientific evolution to be interpreted using the narratological structure of hexagonal spirals. Expand
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Distribution-free conditional predictive bands using density estimators
TLDR
We introduce two conformal methods based on conditional density estimators that do not depend on this type of assumption to obtain asymptotic conditional coverage. Expand
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Positive Polynomials on closed boxes
We present two different proofs that positive polynomials on closed boxes of $\mathbb{R}^2$ can be written as bivariate Bernstein polynomials with strictly positive coefficients. Both strategies canExpand
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Statistical Information: A Bayesian Perspective
TLDR
We explore the meaning of information about quantities of interest. Expand
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Conditional independence testing: a predictive perspective
TLDR
We propose a novel conditional independence test in a predictive setting, and show that it achieves better power than competing approaches in several settings. Expand
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