Results 11 to 20 of about 651,740 (292)
Bayesian Decision Theory and Stochastic Independence [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 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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Multiple perspectives on the concept of conditional probability [PDF]
Avances de Investigación en Educación Matemática, 2012 Conditional probability is a key to the subjectivist theory of probability; however, it plays a subsidiary role in the usual conception of probability where its counterpart, namely independence is of basic importance.
Manfred Borovcnik
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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]
Proceedings of the Edinburgh Mathematical Society, 1960 David G. Kendall
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Realization of an Arbitrary Structure of Perfect Distinguishability of States in General Probability Theory [PDF]
Reviews in Mathematical Physics, 2023 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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Nonlinear Analysis, 2021 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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Lilac: A Modal Separation Logic for Conditional Probability [PDF]
Proc. ACM Program. Lang., 2023 We present Lilac, a separation logic for reasoning about probabilistic programs where separating conjunction captures probabilistic independence. Inspired by an analogy with mutable state where sampling corresponds to dynamic allocation, we show how ...
John M. Li +2 more
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Foundations of Modern Probability
Probability Theory and Stochastic Modelling, 2021 * Measure Theory-Basic Notions * Measure Theory-Key Results * Processes, Distributions, and Independence * Random Sequences, Series, and Averages * Characteristic Functions and Classical Limit Theorems * Conditioning and Disintegration * Martingales and ...
O. Kallenberg
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Scientific Reports, 2023 Robot-assisted therapy can effectively treat upper extremity (UE) paralysis in patients who experience a stroke. Presently, UE, as a training item, is selected according to the severity of the paralysis based on a clinician’s experience.
Takashi Takebayashi +3 more
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A new proof for the generalized law of large numbers under Choquet expectation
Journal of Inequalities and Applications, 2020 In this article, we employ the elementary inequalities arising from the sub-linearity of Choquet expectation to give a new proof for the generalized law of large numbers under Choquet expectations induced by 2-alternating capacities with mild assumptions.
Jing Chen, Zengjing Chen
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South East Asia Nursing Research, 2022 Schizophrenia is a neurological disease that affects the patient's perception, thought processes, language, emotions, and social behavior. The clinical manifestation that often appears in schizophrenic patients is self-care deficit (DPD).
Milkhatun Milkhatun +3 more
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