Results 111 to 120 of about 17,315 (139)

Representation of finitely additive semiordered qualitative probability structures

Journal of Mathematical Psychology, 1971
Abstract Given a finite Boolean algebra together with a binary relation, necessary and sufficient conditions are given for the existence of a probability measure on the algebra and a real number (the so-called jnd) such that for any two Boolean elements the relation holds if and only if the corresponding probability values of the elements satisfy the
Zoltan Domotor, John Stelzer
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Finitely additive conditional probabilities with values on a hyperstructure

Journal of Information and Optimization Sciences, 2001
In this paper we introduce a particular non standard algebraic hyperstructure ∑ with two hyperoperations called addition and multiplication that is an extension of the field of real numbers. After we define probabilities and conditional probabilities with values on ∑.
Antonio Maturo
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Finitely Additive Probability Measures in Automated Medical Diagnostics

, 2014
We describe one probabilistic approach to classification of a set of objects when a classification criterion can be represented as a propositional formula. It is well known that probability measures are not truth functional. However, if μ is any probability measure and α is any propositional formula, μ(α) is uniquely determined by the μ-values of ...
Milica Knežević, Zoran Ognjanović, Aleksandar Perović   +2 more
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Finitely Additive Probability and Benford's Law

, 2015
This chapter demonstrates the robustness of Benford's law even with regard to basic underlying mathematical hypotheses. It records, without proof, several of the main theorems pertinent to a theory of Benford's law in the context of finitely additive probability, and points the interested reader to further references on that theory in the literature.
Arno Berger, Theodore P. Hill
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Subjective expected utility with non-additive probabilities on finite state spaces

Journal of Economic Theory, 1990
The purpose of this paper is to axiomatize a generalization of the subjective expected utility in Savage's framework when the set of states is finite. The proposed axiomatization requires that the set of consequences be infinite, in contrast to Savage's arbitrary one. Sufficiency for representation is proved.
Yutaka Nakamura
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A finitisation of the finitely additive probability theory using non-standard analysis [PDF]

, 1994
Summary: We prove, within the frame of nonstandard analysis, that the finitely additive probability theory of B. de Finetti is equivalent to the elementary probability theory on finite spaces. This equivalence reduces the solution of various classical problems to purely combinatorial constructions. We use it to get a new insight into comparison of zero-
Monica Musio, Robert Lutz
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9. Finitely Additive Probability and Benford’s Law

, 2015

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Statistical Implications of Finitely Additive Probability

, 1999
Joseph B. Kadane, Mark J. Schervish, Teddy Seidenfeld   +2 more
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Finitely Additive Probability

2002
An usual way of introducing probability is through the following framework: given a non-empty set Ω (representing the certain event) and an algebra A of subsets (representing events) of Ω, a probability on (Ω, A) is a real-valued set function P satisfying the following axioms (A1) P(Ω) = 1; (A2) P(A V B) = P(A) + P(B) for incompatible A, B ∈ A; (A3) P ...
Giulianella Coletti, Romano Scozzafava
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Editorial: Forum on recent developments on finitely additive probabilities and coherence

Statistical Methods & Applications, 2014
Lucio Barabesi
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