Results 31 to 40 of about 39,415 (259)

The Sufficient and Necessary Conditions of the Strong Law of Large Numbers under Sub-linear Expectations

Acta Mathematica Sinica, English Series, 2023
In this paper, by establishing a Borel-Cantelli lemma for a capacity which is not necessarily continuous, and a link between a sequence of independent random variables under the sub-linear expectation and a sequence of independent random variables on $\mathbb R^{\infty}$ under a probability, we give the sufficient and necessary conditions of the strong
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Personality Related to Quality-of-Life Improvement After Deep Brain Stimulation in Parkinson’s Disease (PSYCHO-STIM II)

Journal of Parkinson’s Disease, 2022
Background: Deep brain stimulation of the sub-thalamic nucleus (DBS-STN) reduces symptoms in Parkinson’s disease (PD) patients with motor fluctuations. However, some patients may not feel ameliorated afterwards, despite an objective motor improvement. It
Mathilde Boussac, Christophe Arbus, Helene Klinger, Alexandre Eusebio, Elodie Hainque, Jean Christophe Corvol, Olivier Rascol, Vanessa Rousseau, Estelle Harroch, Charlotte Scotto d’Apollonia, Aurélie Croiset, Fabienne Ory-Magne, Amaury De Barros, Margherita Fabbri, Caroline Moreau, Anne-Sophie Rolland, Isabelle Benatru, Mathieu Anheim, Ana-Raquel Marques, David Maltête, Sophie Drapier, Béchir Jarraya, Cécile Hubsch, Dominique Guehl, Mylène Meyer, Tiphaine Rouaud, Bruno Giordana, Mélissa Tir, David Devos, Christine Brefel-Courbon,   +30 more
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The relationship between age and sex partner counts during the mpox outbreak in the UK, 2022.

PLoS ONE, 2023
BackgroundUnderstanding the dynamics of an infectious disease outbreak linked to sexual activity requires valid expectations of likely counts of unique sex partners during the infectious period.
Julii Brainard, Louise E Smith, Henry W W Potts, G James Rubin   +3 more
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Exponential inequalities under the sub-linear expectations with applications to laws of the iterated logarithm [PDF]

Science China Mathematics, 2016
30 pages.
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Strong Laws of Large Numbers for General Random Variables Under Conditional Sub-Additive Expectation and Capacity

Mathematics
We study strong laws of large numbers in a non-linear framework based on conditional sub-additive expectations and conditional sub-additive capacities. Using an axiomatic approach to conditional sub-additive expectation, we establish a conditional Hájek ...
Nyanga Honda Masasila, István Fazekas
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Actinometric measurements of NO₂ photolysis frequencies in the atmosphere simulation chamber SAPHIR [PDF]

Atmospheric Chemistry and Physics, 2005
The simulation chamber SAPHIR at Forschungszentrum Jülich has UV permeable teflon walls facilitating atmospheric photochemistry studies under the influence of natural sunlight.
B. Bohn, F. Rohrer, T. Brauers, A. Wahner   +3 more
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Stochastic volatility with regime switching and uncertain noise: Filtering with sub-linear expectations

Discrete and Continuous Dynamical Systems - B, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elliott, Robert J., Siu, Tak Kuen
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Energy-Efficient Edge-Fog-Cloud Architecture for IoT-Based Smart Agriculture Environment

IEEE Access, 2021
The current agriculture systems compete to take advantage of industry advanced technologies, including the internet of things (IoT), cloud/fog/edge computing, artificial intelligence, and agricultural robots to monitor, track, analyze and process various
Hatem A. Alharbi, Mohammad Aldossary
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Strassen’s Law of the Iterated Logarithm under Sub-linear Expectations

Acta Mathematica Sinica, English Series
We establish the Strassen's law of the iterated logarithm for independent and identically distributed random variables with $\hat{\mathbb{E}}[X_1]=\hat{\mathcal{E}}[X_1]=0$ and $C_{\mathbb{V}}[X_1^2]<\infty$ under sub-linear expectation space with a countably sub-additive capacity $\mathbb{V}$.
Gu, Wangyun, Zhang, Lixin
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Lindeberg’s central limit theorems for martingale like sequences under sub-linear expectations [PDF]

Science China Mathematics, 2020
The central limit theorem of martingales is the fundamental tool for studying the convergence of stochastic processes, especially stochastic integrals and differential equations. In this paper, general central limit theorems and functional central limit theorems are obtained for martingale like random variables under the sub-linear expectation.
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