Results 11 to 20 of about 335,950 (218)

Almost sure convergence on chaoses

Proceedings of the American Mathematical Society, 2019
We present several new phenomena about almost sure convergence on homogeneous chaoses that include Gaussian Wiener chaos and homogeneous sums in independent random variables. Concretely, we establish the fact that almost sure convergence on a fixed finite sum of chaoses forces the almost sure convergence of each chaotic component.
Poly, Guillaume, Zheng, Guangqu
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DAVENPORT SERIES AND ALMOST-SURE CONVERGENCE [PDF]

The Quarterly Journal of Mathematics, 2010
We consider Davenport-like series with coecients in l 2 and discuss L 2 -convergence as well as almost-everywhere convergence. We give an example where both fail to hold. We next improve former sucient conditions under which these convergences are true.
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Almost sure convergence of weighted sums [PDF]

Miskolc Mathematical Notes, 2013
Summary: Let \(\{X:X_n,\;n\geq 1\}\) be a sequence of identically distributed random variables and \(\{a_{i,n}:\;1\leq i\leq n\}\) be a triangular array of constants. In this short paper, we establish a general almost sure convergence theorem for the weighted sum \(S_n=\sum^n_{i=1} a_{i,n} X_i\). Our results improve those of \textit{S. H.
Miao, Yu, Xu, Shoufang
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On the almost sure convergence of sums [PDF]

Statistics & Probability Letters, 2021
Two counterexamples, addressing questions raised in \cite{AD} and \cite{PZ}, are provided. Both counterexamples are related to chaoses. Let $F_n=Y_n+Z_n$. It may be that $F_n\overset{a.s.}\longrightarrow 0$, $F_n\overset{L_{2+ }}\longrightarrow 0$ and $E\bigl\{\sup_n\,\abs{F_n}^ \bigr\}0$ and $Y_n$ and $Z_n$ belong to chaoses of uniformly bounded ...
Pratelli Luca, Rigo Pietro
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Almost sure convergence of extreme order statistics

Electronic Journal of Statistics, 2009
Let $M_n^{(k)}$ denote the $k$th largest maximum of a sample $(X_1,X_2,...,X_n)$ from parent $X$ with continuous distribution. Assume there exist normalizing constants $a_n>0$, $b_n\in \mathbb{R}$ and a nondegenerate distribution $G$ such that $a_n^{-1}(M_n^{(1)}-b_n)\stackrel{w}{\to}G$.
Peng, Zuoxiang, Li, Jiaona, Nadarajah, Saralees   +2 more
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Cooling down stochastic differential equations: Almost sure convergence

Stochastic Processes and their Applications, 2022
We consider almost sure convergence of the SDE $dX_t=α_t d t + β_t d W_t$ under the existence of a $C^2$-Lyapunov function $F:\mathbb R^d \to \mathbb R$. More explicitly, we show that on the event that the process stays local we have almost sure convergence in the Lyapunov function $(F(X_t))$ as well as $\nabla F(X_t)\to 0$, if $|β_t|=\mathcal O( t^{-β}
Dereich, Steffen, Kassing, Sebastian
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Exploiting metabolic adaptations to overcome dabrafenib treatment resistance in melanoma cells

Molecular Oncology, EarlyView.
We show that dabrafenib‐resistant melanoma cells undergo mitochondrial remodeling, leading to elevated respiration and ROS production balanced by stronger antioxidant defenses. This altered redox state promotes survival despite mitochondrial damage but renders resistant cells highly vulnerable to ROS‐inducing compounds such as PEITC, highlighting redox
Silvia Eller, Susanne Ebner, Carmen Haselrieder, Julia K. Günther, Astrid Drasche, Sophie Strich, Chiara Volani, Andrea Medici, Aleksandar Nikolajevic, Alex Deltedesco, Johannes E. Sigmund, Michael J. Blumer, Martin Hermann, Johanna Vanacker, Gerald Brandacher, Eduard Stefan, Omar Torres‐Quesada, Jakob Troppmair   +17 more
wiley   +1 more source

Peroxidasin enables melanoma immune escape by inhibiting natural killer cell cytotoxicity

Molecular Oncology, EarlyView.
Peroxidasin (PXDN) is secreted by melanoma cells and binds the NK cell receptor NKG2D, thereby suppressing NK cell activation and cytotoxicity. PXDN depletion restores NKG2D signaling and enables effective NK cell–mediated melanoma killing. These findings identify PXDN as a previously unrecognized immune evasion factor and a potential target to improve
Hsu‐Min Sung, David Bickel, Lena C. M. Krause, Daria Ezeriņa, Christian Ickes, Julian Wojtachnia, Christine S. Gibhardt, Magdalena Shumanska, Khadija Wahni, Andrea Paluschkiwitz, Julia Malo Pueyo, Ekaterina Baranova, Wim Vranken, Hedwig Stanisz, Ioana Stejerean‐Todoran, Michael P. Schön, Joris Messens, Ivan Bogeski   +17 more
wiley   +1 more source

Long‐Term Follow‐Up of Chemotherapy‐Associated Biological Aging in Women With Early Breast Cancer

Aging and Cancer, EarlyView.
Women threated with adjuvant chemotherapy for early breast cancer have sustained long‐term increase in p16INK4a,, a robust marker of cell senescence, suggesting a chemotherapy‐associated age acceleration. p16INK4a as well as other biomarkers may identify patients at greatest risk for senescence‐related diseases of aging.
Hyman B. Muss, Alexis C. Wardell, Allison M. Deal, Kirsten A. Nyrop, Allison Ross, Yara G. Abdou, Jeffrey D. Aldrich, Lisa A. Cary, E. Claire Dees, Katherine E. Reeder‐Hayes, Emily M. Ray, Natalia Mitin, Denis Tsygankov   +12 more
wiley   +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