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A distinction is sometimes made between "statistical" and "subjective" probabilities. This is based on a distinction between "unique" events and "repeatable" events. We argue that this distinction is untenable, since all events are "unique"…

Artificial Intelligence · Computer Science 2013-04-11 Henry E. Kyburg

In this paper, we take a fresh look at three Popperian concepts: riskiness, falsifiability, and truthlikeness (or verisimilitude) of scientific hypotheses or theories. First, we make explicit the dimensions that underlie the notion of…

History and Philosophy of Physics · Physics 2021-07-30 Leander Vignero , Sylvia Wenmackers

Though the ability of human beings to deal with probabilities has been put into question, the assessment of rarity is a crucial competence underlying much of human decision-making and is pervasive in spontaneous narrative behaviour. This…

Other Computer Science · Computer Science 2011-08-25 Jean-Louis Dessalles

Classically, risk is characterized by a point value probability indicating the likelihood of occurrence of an adverse effect. However, there are domains where the attainability of objective numerical risk characterizations is increasingly…

Artificial Intelligence · Computer Science 2013-02-21 Paul J. Krause , John Fox , Philip Judson

Subjective probability is based on the intuitive idea that probability quantifies the degree of belief that an event will occur. A probability theory based on this idea represents the most general framework for handling uncertainty. A brief…

Data Analysis, Statistics and Probability · Physics 2009-10-31 G. D'Agostini

Criticisms of so called `subjective probability' come on the one hand from those who maintain that probability in physics has only a frequentistic interpretation, and, on the other, from those who tend to `objectivise' Bayesian theory,…

Data Analysis, Statistics and Probability · Physics 2009-11-06 G. D'Agostini

The paper is focused on the problem of estimating the probability $p$ of individual contaminated sample, under group testing. The precision of the estimator is given by the probability of proportional closeness, a concept defined in the…

Statistics Theory · Mathematics 2017-12-27 Yaakov Malinovsky , Shelemyahu Zacks

We introduce and study the concept of cyclicity degree of a finite group $G$. This quantity measures the probability of a random subgroup of $G$ to be cyclic. Explicit formulas are obtained for some particular classes of finite groups. An…

Group Theory · Mathematics 2015-04-08 Marius Tărnăuceanu , László Tóth

In this paper I discuss both syntax and semantics of subjective probability. The semantics determines ways of testing probability statements. Among important varieties of subjective probabilities are intersubjective probabilities and…

Artificial Intelligence · Computer Science 2023-09-06 Vladimir Vovk

This writing: a) Draws attention to the intricacies inherent to the pursuit of a universal seizure definition even when powerful, well understood signal analysis methods are utilized to this end; b) Identifies this aim as a multi-objective…

Neurons and Cognition · Quantitative Biology 2011-11-15 Ivan Osorio , Alexey Lyubushin , Didier Sornette

Individual probabilities refer to the probabilities of outcomes that are realized only once: the probability that it will rain tomorrow, the probability that Alice will die within the next 12 months, the probability that Bob will be…

Machine Learning · Computer Science 2023-05-09 Aaron Roth , Alexander Tolbert , Scott Weinstein

We review possible measures of complexity which might in particular be applicable to situations where the complexity seems to arise spontaneously. We point out that not all of them correspond to the intuitive (or "naive") notion, and that…

Data Analysis, Statistics and Probability · Physics 2012-08-20 Peter Grassberger

This paper is motivated by the questions of how to give the concept of probability an adequate real-world meaning, and how to explain a certain type of phenomenon that can be found, for instance, in Ellsberg's paradox. It attempts to answer…

Other Statistics · Statistics 2022-03-25 Russell J. Bowater

Classical statistics and Bayesian statistics refer to the frequentist and subjective theories of probability respectively. Von Mises and De Finetti, who authored those conceptualizations, provide interpretations of the probability that…

Probability · Mathematics 2013-01-24 Paolo Rocchi , Leonida Gianfagna

We propose an interpretation of physics named potentiality realism. This view, which can be applied to classical as well as to quantum physics, regards potentialities (i.e. intrinsic, objective propensities for individual events to obtain)…

Quantum Physics · Physics 2024-10-08 Flavio Del Santo , Nicolas Gisin

Risk assessment instruments are used across the criminal justice system to estimate the probability of some future behavior given covariates. The estimated probabilities are then used in making decisions at the individual level. In the…

Applications · Statistics 2021-02-03 Kristian Lum , David B. Dunson , James Johndrow

Based on existing ideas in the field of imprecise probabilities, we present a new approach for assessing the reliability of the individual predictions of a generative probabilistic classifier. We call this approach robustness…

Machine Learning · Computer Science 2025-04-11 Adrián Detavernier , Jasper De Bock

Theoretically as well as experimentally it is investigated how people represent their knowledge in order to make decisions or to share their knowledge with others. Experiment 1 probes into the ways how people 6ather information about the…

Artificial Intelligence · Computer Science 2013-04-15 Alf C. Zimmer

Multivariate methods that relate outcomes to risk factors have been adopted clinically to individualize treatment. This has promoted the belief that individuals have a true or unique risk. The logic of assigning an individual a single risk…

Quantitative Methods · Quantitative Biology 2010-01-15 Ralph H. Stern

There are different approaches to qualitative probability, which includes subjective probability. We developed a representation of qualitative probability based on relational systems, which allows modeling uncertainty by probability…

Probability · Mathematics 2017-03-01 Mark Burgin
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