Results 11 to 20 of about 17,315 (139)
Decomposition of Finitely Additive Markov Chains in Discrete Space
Mathematics, 2022 In this study, we consider general Markov chains (MC) defined by a transition probability (kernel) that is finitely additive. These Markov chains were constructed by S. Ramakrishnan within the concepts and symbolism of game theory.
Alexander Zhdanok, Anna Khuruma
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Invariant Finitely Additive Measures for General Markov Chains and the Doeblin Condition
Mathematics, 2023 In this paper, we consider general Markov chains with discrete time in an arbitrary measurable (phase) space. Markov chains are given by a classical transition function that generates a pair of conjugate linear Markov operators in a Banach space of ...
Alexander Zhdanok
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Non-additive probabilities and quantum logic in finite quantum systems [PDF]
Journal of Physics: Conference Series, 2015 A quantum system Σ(d) with variables in Z(d) and with Hilbert space H(d), is considered. It is shown that the additivity relation of Kolmogorov probabilities, is not valid in the Birkhoff-von Neumann orthocomplemented modular lattice of subspaces L(d).
A. Vourdas
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A General Principle for Limit Theorems in Finitely Additive Probability [PDF]
Transactions of the American Mathematical Society, 1982 In this paper we formulate and prove a general principle which enables us to deduce limit theorems for sequences of independent random variables in a finitely additive setting from their analogues in the conventional countably additive setting. 1. Introduction. The first a.s.
Rajeeva L. Karandikar
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Finitely additive, modular, and probability functions on pre-Semirings [PDF]
Communications in Algebra, 2017 In this paper, we define finitely additive, probability and modular functions over semiring-like structures. We investigate finitely additive functions with the help of complemented elements of a semiring. We also generalize some classical results in probability theory such as the Law of Total Probability, Bayes' Theorem, the Equality of Parallel ...
Peyman Nasehpour, Amir Hossein Parvardi
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The extent of non-conglomerability of finitely additive probabilities [PDF]
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1984 An arbitrary finitely additive probability can be decomposed uniquely into a convex combination of a countably additive probability and a purely finitely additive (PFA) one. The coefficient of the PFA probability is an upper bound on the extent to which conglomerability may fail in a finitely additive probability with that decomposition.
Mark J. Schervish +2 more
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Non-Conglomerability for Finite-Valued, Finitely Additive Probability
, 2018 We consider how an unconditional, finite-valued, finitely additive probability P on a countable set may localize its non-conglomerability (non-disintegrability). Non-conglomerability, a characteristic of merely finitely additive probability, occurs when the unconditional probability of an event P(E) lies outside the closed interval of conditional ...
Teddy Seidenfeld +2 more
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Translation invariance and finite additivity in a probability measure on the natural numbers [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 Inspired by the two envelopes exchange paradox, a finitely additive probability measure m on the natural numbers is introduced. The measure is uniform in the sense that m({i})=m({j}) for all i,j∈ℕ.
Robert Gardner, Robert Price
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From vulnerability formalization to finitely additive probability monads
, 2010 Die vorliegende Arbeit gliedert sich in zwei Teile. Diese sind dadurch verbunden, dass der erste Teil die mathematischen Fragen, die im zweiten Teil behandelt werden, motiviert. Gegenstand des ersten Teils sind die Begriffe Vulnerabilität (gegenüber Klimawandel) und Wahrscheinlichkeit, sowie die Methode der Formalisierung.
Sarah Wolf
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Finitely-additive, countably-additive and internal probability measures [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2019 We discuss two ways to construct standard probability measures, called push-down measures, from internal probability measures. We show that the Wasserstein distance between an internal probability measure and its push-down measure is infinitesimal. As an application to standard probability theory, we show that every finitely-additive Borel probability ...
Duanmu Haosui, W. William
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