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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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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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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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Wind Energy, 2022 The extreme value theory has been object of engineering studies for more than a century. The analysis of extreme winds plays a key role for complex civil structures and a driving role in different stages of wind turbines lifetime.
Alessio Torrielli +2 more
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CHRISMED Journal of Health and Research, 2022 Context: Item response theory (IRT), is a psychometric measure of trait considering each response positioned on a continuum. Aim: Assessment of item and test information Oral Health Literacy Adults Questionnaire (OHL-AQ) using IRT in the patient visiting
Deepak Gurung +2 more
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On MV-Algebraic Versions of the Strong Law of Large Numbers
Entropy, 2019 Many-valued (MV; the many-valued logics considered by Łukasiewicz)-algebras are algebraic systems that generalize Boolean algebras. The MV-algebraic probability theory involves the notions of the state and observable, which abstract the probability ...
Piotr Nowak, Olgierd Hryniewicz
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Application of Random Dynamic Grouping Simulation Algorithm in PE Teaching Evaluation
Complexity, 2021 The probability ranking conclusion is an extension of the absolute form evaluation conclusion. Firstly, the random simulation evaluation model is introduced; then, the general idea of converting the traditional evaluation method to the random simulation ...
Haitao Hao
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Complement-Class Harmonized Naïve Bayes Classifier
Applied Sciences, 2023 Naïve Bayes (NB) classification performance degrades if the conditional independence assumption is not satisfied or if the conditional probability estimate is not realistic due to the attributes of correlation and scarce data, respectively.
Fahad S. Alenazi +2 more
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