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Probability weighting explains Independence Axiom violations of Expected Utility Theory in monkeys [PDF]
AbstractExpected Utility Theory (EUT) provides axioms for maximizing utility in risky choice. The Independence Axiom (IA) is its most demanding axiom: preferences between two options should not change when altering both options equally by mixing them with a common gamble. We tested common consequence (CC) and common ratio (CR) violations of the IA over
Wolfram Schultz
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Mark Kac, Statistical Independence in Probability, Analysis and Number Theory (Math. Association of America, and John Wiley & Sons1959), xiv + 93 pp., $3. [PDF]
David G. Kendall
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Bayesian Decision Theory and Stochastic Independence [PDF]
Stochastic independence has a complex status in probability theory. It is not part of the definition of a probability measure, but it is nonetheless an essential property for the mathematical development of this theory.
Philippe Mongin
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Homotopy Theory of Probability Spaces I: Classical independence and homotopy Lie algebras
117 ...
Jae-Suk Park
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Book Review: Slatistical independence in probability, analysis and number theory [PDF]
W. J. LeVeque
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In the renewal risk model, several strong hypotheses may be found too restrictive to model accurately the complex evolution of the reserves of an insurance company. In the case where claim sizes are heavy-tailed, we relax independence and stationarity assumptions and extend some asymptotic results on finite-time ruin probabilities, to take into account
Romain Biard+2 more
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Probability Theory: Independence, Interchangeability, Martingales [PDF]
Robert Lund, Y. S. Chow, Henry Teicher
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Realization of an Arbitrary Structure of Perfect Distinguishability of States in General Probability Theory [PDF]
Let $s_1,s_2,\ldots s_n$ be states of a general probability theory, and $\mathcal A$ be the set of all subsets of indices $H \subset [n]\equiv\{1,2,\ldots n\}$ such that the states $(s_j)_{j\in H}$ are jointly perfectly distinguishable.
M. Weiner
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In this paper, we consider the sum Snξ = ξ1 + ... + ξn of possibly dependent and nonidentically distributed real-valued random variables ξ1, ... , ξn with consistently varying distributions. By assuming that collection {ξ1, ...
Jonas Sprindys, Jonas Šiaulys
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Conditional independence on semiring relations [PDF]
Conditional independence plays a foundational role in database theory, probability theory, information theory, and graphical models. In databases, conditional independence appears in database normalization and is known as the (embedded) multivalued ...
Miika Hannula
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