Results 51 to 60 of about 51,964 (316)

Double recurrence and almost sure convergence.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1990
The paper studies the pointwise behaviour of averages of the form \(\frac{1}{N}\sum^{N}_{1}T_1f_1\cdot T_2f_2,\) where \(T_1,T_2\) are powers of the same measure preserving transformation \(T\) acting on a probability span \((\Omega,\mathcal B,\mu).\) Here \(f_1,f_2\) are assumed to be bounded measurable functions.
openaire   +2 more sources

Systemic T Cell Receptor Profiling Reveals Adaptive Immune Activation and Potential Immune Signatures of Diagnosis and Brain Atrophy in Epilepsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Epilepsy is increasingly associated with immune dysregulation and inflammation. The T cell receptor (TCR), a key mediator of adaptive immunity, shows repertoire alterations in various immune‐mediated diseases. The unique TCR sequence serves as a molecular barcode for T cells, and clonal expansion accompanied by reduced overall TCR ...
Yong‐Won Shin, Sang Bin Hong, Yong Woo Shin, Inpyeong Hwang, Jaeseong Oh, Jihyeon Choi, Narae Kim, Jangsup Moon, Keun‐Hwa Jung, Kyung‐Il Park, Ki‐Young Jung, Kon Chu, Sang Kun Lee   +12 more
wiley   +1 more source

THE ALMOST SURE CONVERGENCE OF WEIGHTED SUMS OF NEGATIVELY DEPENDENT RANDOM VARIABLES [PDF]

Journal of Sciences, Islamic Republic of Iran, 1999
In this paper we study the almost universal convergence of weighted sums for sequence {x ,n } of negatively dependent (ND) uniformly bounded random variables, where a, k21 is an may of nonnegative real numbers such that 0(k ) for every ?> 0 and E|x
doaj  

Numerical method of highly nonlinear and nonautonomous neutral stochastic differential delay equations with Markovian switching

Advances in Difference Equations, 2020
In this paper, we establish a partially truncated Euler–Maruyama scheme for highly nonlinear and nonautonomous neutral stochastic differential delay equations with Markovian switching.
Shuaibin Gao, Junhao Hu
doaj   +1 more source

Functional Connectivity Linked to Cognitive Recovery After Minor Stroke

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Patients with minor stroke exhibit slowed processing speed and generalized alterations in functional connectivity involving frontoparietal cortex (FPC). The pattern of connectivity evolves over time. In this study, we examine the relationship of functional connectivity patterns to cognitive performance, to determine ...
Vrishab Commuri, Isabella Dallasta, Ciaran Stone, Sophia Girgenti, Neda Gould, Rafael H. Llinas, Jonathan Z. Simon, Elisabeth Breese Marsh   +7 more
wiley   +1 more source

Non-Parametric Estimation of the Renewal Function for Multidimensional Random Fields

Mathematics
This paper addresses the almost sure convergence and the asymptotic normality of an estimator of the multidimensional renewal function based on random fields. The estimator is based on a sequence of non-negative independent and identically distributed (i.
Livasoa Andriamampionona, Victor Harison, Michel Harel   +2 more
doaj   +1 more source

Impact of Asymptomatic Intracranial Hemorrhage on Outcome After Endovascular Stroke Treatment

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Endovascular treatment (EVT) achieves high rates of recanalization in acute large‐vessel occlusion (LVO) stroke, but functional recovery remains heterogeneous. While symptomatic intracranial hemorrhage (sICH) has been well studied, the prognostic impact of asymptomatic intracranial hemorrhage (aICH) after EVT is less certain ...
Shihai Yang, Chengsong Yue, Zhuang Li, Xiaolei Shi, Haoxuan Zhu, Jie Yang, Linyu Li, Jiaxing Song, Shitao Fan, Gaoming Li, Wenzhe Sun, Zhixian Ye, Jiacheng Huang, Dahong Yang, Jinfu Ma, Xu Xu, Zhixi Wang, Lilan Wang, Guojian Liu, Fengli Li, Changwei Guo, Li Qi, Wenjie Zi   +22 more
wiley   +1 more source

Knee Crepitus and Osteoarthritis Features in Young Adults Following Traumatic Knee Injury

Arthritis Care &Research, EarlyView.
Objective This study explored the association between knee crepitus and the presence, and worsening, of structural osteoarthritis features and self‐reported outcomes in young adults following traumatic knee injury. Methods One year following anterior cruciate ligament reconstruction (ACLR), 112 participants (41 female participants; median age 28 years ...
Jamon L. Couch, Brooke E. Patterson, Kay M. Crossley, Ali Guermazi, Matthew G. King, Danilo De Oliveira Silva, Jackie L. Whittaker, Michael A. Girdwood, Adam G. Culvenor   +8 more
wiley   +1 more source

Almost sure convergence for a class of dependent random variables under sub-linear expectations

AIMS Mathematics
This article aimed to investigate the almost sure convergence theorem of widely negative orthant dependent (WNOD) random variables under sub-linear expectation space.
Baozhen Wang, Qunying Wu
doaj   +1 more source

Some limit theorems for ratios of order statistics from uniform random variables

Journal of Inequalities and Applications, 2017
In this paper, we study the ratios of order statistics based on samples drawn from uniform distribution and establish some limit properties such as the almost sure central limit theorem, the large deviation principle, the Marcinkiewicz-Zygmund law of ...
Shou-Fang Xu, Yu Miao
doaj   +1 more source