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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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Multiple perspectives on the concept of conditional probability [PDF]
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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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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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
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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On MV-Algebraic Versions of the Strong Law of Large Numbers
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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Tractability through Exchangeability: A New Perspective on Efficient Probabilistic Inference [PDF]
Exchangeability is a central notion in statistics and probability theory. The assumption that an infinite sequence of data points is exchangeable is at the core of Bayesian statistics.
Broeck, Guy Van den, Niepert, Mathias
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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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Network Defense Strategy Selection Method Based on Single-Point Multi-Step Game [PDF]
Network security problems occur frequently in the current complex environment,but the existing network defense model based on attack-defense game does not consider the single-point and multi-step characteristics of network attacks,so it can not ...
YANG Lin, WANG Yongjie
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An independence property for general information [PDF]
The aim of this paper was a generalization of independence propery proposed by Kampè de Fèriet and Forte in Information Theory withou probability, called "general infromation".
Divari, Maria, Vivona, Doretta
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