Results 51 to 60 of about 174,249,668 (304)
Molecular Oncology, EarlyView.Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur +11 more
wiley +1 more source
The Doob inequality and strong law of large numbers for multidimensional arrays in general Banach spaces [PDF]
, 2012 summary:We establish the Doob inequality for martingale difference arrays and provide a sufficient condition so that the strong law of large numbers would hold for an arbitrary array of random elements without imposing any geometric condition on the ...
Quang, Nguyen Van, Huan, Nguyen Van
core +1 more source
Limit theorems for ratios of order statistics from uniform distributions
Journal of Inequalities and Applications, 2019 Let {Xni,1≤i≤mn,n≥1} $\{X_{ni}, 1 \leq i \leq m_{n}, n\geq 1\}$ be an array of independent random variables with uniform distribution on [0,θn] $[0, \theta _{n}]$, and {Xn(k),k=1,2,…,mn} $\{X_{n(k)}, k=1, 2, \ldots , m_{n}\}$ be the kth order statistics ...
Shoufang Xu, Changlin Mei, Yu Miao
doaj +1 more source
Convergence Theorems for m-Coordinatewise Negatively Associated Random Vectors in Hilbert Spaces
Complexity, 2021 In this study, some new results on convergence properties for m-coordinatewise negatively associated random vectors in Hilbert space are investigated. The weak law of large numbers, strong law of large numbers, complete convergence, and complete moment ...
Lyurong Shi
doaj +1 more source
Molecular Oncology, EarlyView.Detecting circulating tumor cells (CTCs) in blood before surgery may help predict outcomes in patients with head and neck squamous cell carcinoma (HNSCC). Here, we show when combined with tumor size and lymph node involvement from routine imaging, CTC status identifies high‐risk patients with poorer survival—offering a simple, minimally invasive tool ...
Susanne Flach +9 more
wiley +1 more source
Large deviations in physics: the legacy of the law of large numbers
, 2014 This book reviews the basic ideas of the Law of Large Numbers with its consequences to the deterministic world and the issue of ergodicity. Applications of Large Deviations and their outcomes to Physics are surveyed.
Cecconi, Fabio +9 more
core +1 more source
Strong law of large numbers for ρ*-mixing sequences with different distributions
Discrete Dynamics in Nature and Society, 2006 Strong law of large numbers and complete convergence for ρ*-mixing sequences with different distributions are investigated. The results obtained improve the relevant results by Utev and Peligrad (2003).
Guang-Hui Cai
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Molecular Oncology, EarlyView.We established the avian chorioallantoic membrane (CAM) assay as a scalable in vivo model for studying circulating tumor cells (CTCs). Human gastrointestinal tumors spontaneously released genetically validated CTCs that were detected across multiple platforms, demonstrating that the CAM model provides an accessible tool for investigating early cancer ...
Dennis Roth +17 more
wiley +1 more source
Doob's Type Inequality and Strong Law of Large Numbers for Demimartingales
Journal of Inequalities and Applications, 2010 We establish some maximal inequalities for demimartingales which generalize the result of Wang (2004). The maximal inequality for demimartingales is used as a key inequality to establish other results including Doob's type maximal inequality, strong ...
Yang Wenzhi +3 more
doaj +1 more source
FEBS Open Bio, EarlyView.Hyperosmotic stress triggers the relocation of the CFIm complex from the nucleus to the cytoplasm. This shift creates a nuclear ‘stoichiometric bottleneck’, limiting CFIm availability for mRNA processing. Consequently, specific mRNAs like NUDT21 and DICER1 undergo targeted 3′UTR shortening, demonstrating how spatial protein dynamics drive rapid ...
Hitomi Soumiya +2 more
wiley +1 more source