Results 51 to 60 of about 27,799 (321)

The Iterated Logarithmic Algebra. II. Sheffer sequences

open access: yesJournal of Mathematical Analysis and Applications, 1991
An extension of the theory of the Iterated Logarithmic Algebra gives the logarithmic analog of a Sheffer or Appell sequence of polynomials. This leads to several examples including Stirling's formula and a logarithmic version of the Euler-MacLaurin summation formula.
openaire   +2 more sources

Association of Corticospinal Tract Asymmetry With Ambulatory Ability After Intracerebral Hemorrhage

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Ambulatory ability after intracerebral hemorrhage (ICH) is important to patients. We tested whether asymmetry between ipsi‐ and contra‐lesional corticospinal tracts (CSTs) assessed by diffusion tensor imaging (DTI) is associated with post‐ICH ambulation.
Yasmin N. Aziz   +25 more
wiley   +1 more source

Precise Asymptotics in the Law of Iterated Logarithm for Moving Average Process under Dependence

open access: yesJournal of Inequalities and Applications, 2011
Let be a doubly infinite sequence of identically distributed and -mixing random variables, and let be an absolutely summable sequence of real numbers.
Jie Li
doaj   +2 more sources

On the uniqueness of higher order Gubinelli derivatives and an analogue of the Doob – Meyer theorem for rough paths of the arbitrary positive Holder index

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2022
In this paper, we investigate the features of higher order Gubinelli derivatives of controlled rough paths having an arbitrary positive Holder index. There is used a notion of the (α, β)-rough map on the basis of which the sufficient conditions are given
Maksim M. Vaskovskii
doaj   +1 more source

Developmental, Neuroanatomical and Cellular Expression of Genes Causing Dystonia

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Dystonia is one of the most common movement disorders, with variants in multiple genes identified as causative. However, an understanding of which developmental stages, brain regions, and cell types are most relevant is crucial for developing relevant disease models and therapeutics.
Darren Cameron   +5 more
wiley   +1 more source

Exponential Inequalities for Positively Associated Random Variables and Applications

open access: yesJournal of Inequalities and Applications, 2008
We establish some exponential inequalities for positively associated random variables without the boundedness assumption. These inequalities improve the corresponding results obtained by Oliveira (2005).
Ailin Liu, Shanchao Yang, Guodong Xing
doaj   +2 more sources

An Invariance Principle of G-Brownian Motion for the Law of the Iterated Logarithm under G-expectation

open access: yes, 2011
The classical law of the iterated logarithm (LIL for short)as fundamental limit theorems in probability theory play an important role in the development of probability theory and its applications.
A Khintchine   +20 more
core   +1 more source

The Other Law of the Iterated Logarithm

open access: yesThe Annals of Probability, 1975
Let $\{X_n\}$ be a sequence of independent, identically distributed random variables with $EX_1 = 0, EX_1^2 = 1$. Define $S_n = X_1 + \cdots + X_n$, and $A_n = \max_{1\leqq k\leqq n} |S_k|$. We prove that $\lim \inf A_n(n/\log \log n)^{-\frac{1}{2}} = \pi/8^{\frac{1}{2}}$ with probability one.
Jain, Naresh C., Pruitt, William E.
openaire   +3 more sources

Unraveling the Molecular Mechanisms of Glioma Recurrence: A Study Integrating Single‐Cell and Spatial Transcriptomics

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Glioma recurrence severely impacts patient prognosis, with current treatments showing limited efficacy. Traditional methods struggle to analyze recurrence mechanisms due to challenges in assessing tumor heterogeneity, spatial dynamics, and gene networks.
Lei Qiu   +10 more
wiley   +1 more source

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