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Deriving and comparing healthy longevity distributions by gender and health prevalence measures: a statistical moments and maximum entropy approach. [PDF]
Cosulich R, di Lego V, Zarulli V.
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Convergence of Probability Measures
Revue de l'Institut International de Statistique / Review of the International Statistical Institute, 1969Convergence of Probability Measures. By P. Billingsley. Chichester, Sussex, Wiley, 1968. xii, 253 p. 9 1/4“. 117s.
J. F. C. Kingman, P. Billingsley
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The Measurement of Qualitative Probability
Journal of Mathematical Psychology, 2000This essay presents necessary and sufficient conditions for representing a binary relation on a space of bounded random variables with a unique quantitative expectations operator. This result is used to provide a new characterization of qualitative probability. We also show that two distinct probability measures can induce the same qualitative ordering
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On the Meaning and the Measuring of ‘Probable’
2016Probability has, as a mathematical theory that is an important part of pure mathematics, a long and distinguished history of more than 300 years, with fertile applications in almost all domains of science and technology; but the history of fuzzy sets only lasts 50 years, during which it was theoretically developed and successfully applied in many ...
Enric Trillas, Rudolf Seising
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Contiguity of Probability Measures
Australian Journal of Statistics, 1982SummaryThe notion of contiguity of probability measures is a very useful one, providing a generally applicable method of calculating the asymptotic power of a sequence of tests and thus a means of comparing competing tests. This paper attempts to give an account of the basic results of contiguity theory which is self‐contained and accessible to ...
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Admissible Probability Measurement Procedures
Psychometrika, 1966Admissible probability measurement procedures utilize scoring systems with a very special property that guarantees that any student, at whatever level of knowledge or skill, can maximize his expected score if and only if he honestly reflects his degree-of-belief probabilities.
Shuford, E. H. jun. +2 more
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Rectangular Sets of Probability Measures
Operations Research, 2016In this paper we consider the notion of rectangularity of a set of probability measures from a somewhat different point of view. We define rectangularity as a property of dynamic decomposition of a distributionally robust stochastic optimization problem and show how it relates to the modern theory of coherent risk measures.
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Probability as a Measure of Information Added
Journal of Logic, Language and Information, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2023
Abstract This is the first chapter of Confirmation Theory. Confirmation Theory is a book manuscript that Lewis wrote in 1969 on the basis of a course he’d given at UCLA. He submitted the manuscript to Harvard University Press who expressed an interest.
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Abstract This is the first chapter of Confirmation Theory. Confirmation Theory is a book manuscript that Lewis wrote in 1969 on the basis of a course he’d given at UCLA. He submitted the manuscript to Harvard University Press who expressed an interest.
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