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Foundations of abstract probability theory [PDF]
Using the ideas of abstract algebra, we introduce the basic concepts of abstract probability theory that generalize the Kolmogorov's probability theory, possibility theory and other theories that deal with uncertainty.
Yurchenko, Yurii
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Mathematical Foundations of Probability Theory
In the footsteps of the book \textit{Measure Theory and Integration By and For the Learner} of our series in Probability Theory and Statistics, we intended to devote a special volume of the very probabilistic aspects of the first cited theory. The book might have assigned the title : From Measure Theory and Integration to Probability Theory.
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ABSTRACT Objective This study aimed to investigate the immunological response to influenza vaccination, the incidence and severity of influenza infection, and the side effects of the vaccination in patients with ischemic stroke. Methods This prospective observational study was conducted between 2023 and 2024 at Ramathibodi Hospital.
Achiraya Pakngao +5 more
wiley +1 more source
ABSTRACT Objective Isolated rapid eye movement sleep behavior disorder (iRBD) is a prodromal state for Lewy body disorders and exhibits biological heterogeneity that may influence clinical expression and progression. We examined clinical features in individuals with iRBD and biomarker‐defined synucleinopathy.
Daniel Weintraub +24 more
wiley +1 more source
Mathematical Theory of Probability and Statistics
Mathematical Theory of Probability and Statistics focuses on the contributions and influence of Richard von Mises on the processes, methodologies, and approaches involved in the mathematical theory of probability and statistics.
Geiringer, Hilda
core
ABSTRACT Introduction Glucagon‐like peptide‐1 receptor agonists (GLP‐1 RAs) have demonstrated significant weight‐reducing effects and may offer benefits in idiopathic intracranial hypertension (IIH); however, recent concerns about the risk of non‐arteritic anterior ischemic optic neuropathy (NAION) have emerged.
Faisal A. Al‐Harbi +9 more
wiley +1 more source
Sertraline Treatment Can Mimic Niemann‐Pick Type C Biomarker Profile: A Diagnostic Pitfall
ABSTRACT Background Oxysterols (cholestane‐3β,5α,6β‐triol and 7‐ketocholesterol) and N‐palmitoyl‐O‐phosphocholineserine (PPCS) are sensitive biomarkers for Niemann‐Pick disease type C (NPC) screening. However, false‐positive results occur, with a biomarker profile suggestive of NPC despite the absence of pathogenic variants in genes involved in NPC or ...
Maria Makrygianni +19 more
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MATHEMATICAL FOUNDATIONS OF PROBABILITY THEORY
This article talks about the mathematical foundations of probability theory. Throughout the article, various ideas and considerations are explained on the basis of examples. Conclusions and suggestions are given at the end of the article.
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Association Between Motor Pathway Damage and Motor Deficit in Upper and Lower Limb in People With MS
ABSTRACT Objective Corticospinal tract damage is common in people with MS, but the degree of clinical symptoms varies. We hypothesize that corticospinal tract lesions are more extensive and severe in people with MS with motor impairments in both upper and lower limbs.
Mathilde Liffran +13 more
wiley +1 more source
MOGAD Is the Most Common Cause of Isolated Optic Neuritis in Children
ABSTRACT Objectives The study aimed to characterize the clinical features, etiologies, and outcomes of isolated, first‐time pediatric ON in the post‐MOG‐IgG era. Methods This was a single‐center retrospective cohort study at Texas Children's Hospital of patients diagnosed with first‐time ON between 2018–2024, with follow‐up data collected through 2025.
Chaitanya Aduru +13 more
wiley +1 more source

