Results 121 to 130 of about 8,200,657 (349)
Improved Chebyshev inequality: new probability bounds with known supremum of PDF [PDF]
arXiv, 2018 In this paper, we derive new probability bounds for Chebyshev's inequality if the supremum of the probability density function is known. This result holds for one-dimensional or multivariate continuous probability distributions with finite mean and variance (covariance matrix).
arxiv
Theory of Probability: A Critical Introductory Treatment
, 2017 Part 7 A preliminary survey: heads and tails - preliminary considerations heads and tails - the random process laws of "large numbers" the "central limit theorem".
B. Finetti, A. Machi, Adrian J. Smith
semanticscholar +1 more source
Claustrum Volume Is Reduced in Multiple Sclerosis and Predicts Disability
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective The claustrum is a small, thin structure of predominantly gray matter with broad connectivity and enigmatic function. Little is known regarding the impact of claustrum pathology in multiple sclerosis (MS). Methods This study assessed whether claustrum volume was reduced in MS and whether reductions were associated with specific ...
Nicole Shelley +5 more
wiley +1 more source
Distributions of Aβ42 and Aβ42/40 in the Cerebrospinal Fluid in View of the Probability Theory. [PDF]
Diagnostics (Basel), 2021 Lewczuk P +3 more
europepmc +1 more source
arXiv, 2009 Classical probability theory supports probability measures, assigning a fixed positive real value to each event, these measures are far from satisfactory in formulating real-life occurrences. The main innovation of this paper is the introduction of a new probability measure, enabling varying probabilities that are recorded by ring elements to be ...
arxiv
Dual‐Phase C‐11 PiB PET Images for Detecting Tau Pathology in Cerebral Amyloid Angiopathy
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Cerebral amyloid angiopathy (CAA) is a major cause of lobar intracerebral hemorrhage and cognitive dysfunction in the elderly, and frequently coexists with Alzheimer's disease and tau pathology. Dual‐phase 11C‐PiB PET detects amyloid deposition and cerebral perfusion changes and may have diagnostic value for identifying tau in CAA ...
Meng‐Ting Chiang +4 more
wiley +1 more source
Limit Theorems in Free Probability Theory I [PDF]
arXiv, 2006 Based on a new analytical approach to the definition of additive free convolution on probability measures on the real line we prove free analogs of limit theorems for sums for non-identically distributed random variables in classical Probability Theory.
arxiv
On the Application of Probability Theory to Agricultural Experiments. Essay on Principles. Section 9
, 1990 In the portion of the paper translated here, Neyman introduces a model for the analysis of field experiments conducted for the purpose of comparing a number of crop varieties, which makes use of a double-indexed array of unknown potential yields, one ...
J. Spława-Neyman +2 more
semanticscholar +1 more source
Early Language Impairment as an Integral Part of the Cognitive Phenotype in Huntington's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Huntington's disease (HD) speech/language disorders have typically been attributed to motor and executive impairment due to striatal dysfunction. In‐depth study of linguistic skills and the role of extrastriatal structures in HD is scarce.
Arnau Puig‐Davi +13 more
wiley +1 more source
Practical approaches to the estimation of the ruin probability in a risk model with additional funds
Modern Stochastics: Theory and Applications, 2015 We deal with a generalization of the classical risk model when an insurance company gets additional funds whenever a claim arrives and consider some practical approaches to the estimation of the ruin probability.
Yuliya Mishura +2 more
doaj +1 more source