Results 101 to 110 of about 17,315 (139)
Finitely additive mixtures of probability measures
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Patrizia Berti, Pietro Rigo
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Using Finitely Additive Probability: Uniform Distributions on the Natural Numbers
Abstract In the usual, countably additive definition of probability, it is not possible to have a distribution giving equal probabilities to every one of the natural numbers. Yet such a distribution would be interesting and potentially useful. This article considers an approach to this problem based on finitely additive probability. We give a necessary
Joseph B. Kadane, Anthony O’Hagan
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Probability Logic of Finitely Additive Beliefs
This paper investigates a probability logic \(\Sigma_+\) which resembles certain modal logics. The main focus is on questions related to completeness and compactness. The author enriches propositional logic by adding probabilistic operators \(L_r\) with \(r\in[0,1]\cup \mathbb Q\) to the language.
Chunlai Zhou
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On linear aggregation of infinitely many finitely additive probability measures
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Michael Nielsen
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Uniqueness theorems for finitely additive probabilities on quantum structures
Abstract The proofs of uniqueness theorems, presented here, allow to extend the earlier results. For example, the following hold: let μ and ν be two finitely additive probabilities on a structure L̃ (for example, L̃ is a pseudo-effect algebra), and let μ be convex-ranged; if there exists an element a ∈ L̃ with 0 < μ(a) < 1 and such
Marina Genad'evna Svistula
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Direct hyperfinite representations of finitely additive probabilities
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Maxwell B. Stinchcombe
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Some Finitely Additive Probability: Random Walks
Using techniques of finitely additive probability theory by Ramakrishnan and Karandikar, and some properties of strategic measures by Purves and Sudderth, the authors prove some results on random walks in this more general setting. The main result is the following: given a random walk on the real line, determined by the finitely additive probability \(\
Sreela Gangopadhyay, B. V. Rao
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It was indicated in Chapter 1 that we need a function which would assign numbers to events, thus providing us with answers to questions such as “How likely is it that a given event A takes place?” The basic idea encapsulated in condition (b) of Definition 4.1 is that to measure a set, we can decompose it into finitely many disjoint pieces, measure each
Marek Capiński, Tomasz Zastawniak
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On Some Non-Staadard Finitely Additive Probability Measures
Abstract We consider some finitely additive probability measures which allow to solve in a simple way many problems of statistical inference that, usually, are not solvable considering the σ-additive probability measures. Moreover, we study some non standard probability measures which are based on the new notions of “pseudoprobability” and “probability
Antonio Maturo
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