On set-valued functionals: multivariate risk measures and Aumann integrals
, 2015 In this dissertation, multivariate risk measures for random vectors and Aumann integrals of set-valued functions are studied. Both are set-valued functionals with values in a complete lattice of subsets of $\mathbb{R}^m$.
Ararat, Cagin
core
Unbiased set-valued estimators with minimal risk
, 1988 Based on the Bochner integral a concept of unbiasedness for set-valued estimators is introduced. The equivalence of this integral with the one developed by Aumann does not only deliver an intuitive statistical interpretation of the introduced notion of ...
Meister, H, Moeschlin, O
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Set-valued Kurzweil-Henstock integral in Riesz space setting
, 2013 A multivalued integral in Riesz spaces is given using the Kurzweil-Henstock approach. Some of its properties and a comparison with the Aumann integral are also investigated. As a particular case we examine also the setting of Banach lattices.
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Emotion, Cognition, and the Value of Literature: The Case of Nietzsche’s Genealogy
, 2014 One striking feature of On the Genealogy of Morals concerns how it is written. Nietzsche utilizes a literary style that provokes his readers’ emotions. Recently, Christopher Janaway has argued that this approach is integral to Nietzsche’s philosophical ...
Aumann, Antony
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Core equivalence theorems for infinite convex games [PDF]
, 1996 We show that the core of a continuous convex game on a measurable space of players is a von Neumann-Morgenstern stable set. We also extend the definition of the Mas-Colell bargaining set to games with a measurable space of players, and show that for ...
Shitovitz, Benyamin +3 more
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Rhythms, Reward, and Blues: Consequences of Circadian Photoperiod on Affective and Reward Circuit Function. [PDF]
Neuroscience, 2021 Siemann JK, Grueter BA, McMahon DG.
europepmc +1 more source
The systemic effects of the enriched environment on the conditioned fear reaction. [PDF]
Front Behav Neurosci, 2023 Grigoryan GA.
europepmc +1 more source
A Strong Law of Large Numbers for Random Monotone Operators
, 2019 We provide a strong law of large numbers for random monotone operators. The expectation of a random monotone operator is defined through its Aumann integral.
Salim, Adil
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A Survey of Function Analysis and Applied Dynamic Equations on Hybrid Time Scales. [PDF]
Entropy (Basel), 2021 Wang C, Agarwal RP.
europepmc +1 more source
Cortico-Cerebellar Connectivity Underlying Motor Control in Chronic Poststroke Individuals. [PDF]
J Neurosci, 2022 Gopalakrishnan R +7 more
europepmc +1 more source