Thermodynamic Formalism for Topological Markov Chains on Borel Standard Spaces
, 2019 We develop a Thermodynamic Formalism for bounded continuous potentials defined on the sequence space $X\equiv E^{\mathbb{N}}$, where $E$ is a general Borel standard space. In particular, we introduce meaningful concepts of entropy and pressure for shifts
Cioletti, L. +2 more
core +1 more source
A general principle for limit theorems in finitely additive probability — the dependent case
Stochastic Processes and their Applications, 1985 openalex +2 more sources
A note on the law of large numbers in economics [PDF]
, 2010 Let (S, B, G ) and (T, C,Q) be probability spaces, with Q nonatomic, and H = {h in C : Q(H) > 0}. In some economic models, the following conditional law of large numbers (LLN) is requested.
Berti, Patrizia +2 more
core
Toward a probability theory for product logic: states, integral representation and reasoning
, 2018 The aim of this paper is to extend probability theory from the classical to the product t-norm fuzzy logic setting. More precisely, we axiomatize a generalized notion of finitely additive probability for product logic formulas, called state, and show ...
Flaminio, Tommaso +2 more
core +1 more source
Obligation, Permission, and Bayesian Orgulity [PDF]
, 2019 This essay has two aims. The first is to correct an increasingly popular way of misunderstanding Belot's Orgulity Argument. The Orgulity Argument charges Bayesianism with defect as a normative epistemology.
Nielsen, Michael, Stewart, Rush T.
core
Finitely Additive Equivalent Martingale Measures [PDF]
Let L be a linear space of real bounded random variables on the probability space (omega,A, P0). There is a finitely additive probability P on A, such that P tilde P0 and EP (X) = 0 for all X in L, if and only if cEQ(X) = ess sup(-X), X in L, for some ...
Luca Pratelli +2 more
core
Weak ergodic theorem for Markov chains in the absence of invariant countably additive measures
, 2018 General Markov chains (MC) with a countably additive transition probability on a normal topological space are considered. We extend the Markov operator from the traditional space of countably additive measures to the space of finitely additive measures ...
Zhdanok, Alexander I.
core
Stochastic processes and applications to countably additive restrictions of group-valued finitely additive measures [PDF]
As an application of a theorem concerning a general stochastic process in a finitely additive probability space, the existence of non-atomic countably additive restrictions with large range is obtained for group-valued finitely additive ...
Candeloro, Domenico, Martellotti, A.
core +1 more source
Systems of Precision: Coherent Probabilities on Pre-Dynkin Systems and Coherent Previsions on Linear Subspaces. [PDF]
Entropy (Basel), 2023 Derr R, Williamson RC.
europepmc +1 more source
Iterated forcing with finitely additive measures: applications of probability to forcing theory
, 2023 The method of finitely additive measures along finite support iterations was introduced by Saharon Shelah in 2000 (see [She00]) to show that, consistently, cov(N ) may have countable cofinality. In 2019, Jakob Kellner, Saharon Shelah and Anda Tanasie ˇ (see [KST19]) improved the method: they achieved some new generalizations and applications, such as ...
openaire +2 more sources