Results 61 to 70 of about 169,110 (303)
Complete convergence theorems for L-mixingales
Journal of Mathematical Analysis and Applications, 2004 Various theorems are proved concerning sufficient conditions for the complete convergence of sums (or random sums) of Banach space-valued \({\mathcal L}^p\)-mixingales. These results generalize and extend some of the author's earlier work [Int. J. Math. Math. Sci. 24, 737--747 (2000; Zbl 0972.60016)] and suggest easier assumptions.
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FEBS Open Bio, EarlyView.Clinical analysis reveals significant dysregulation of FGFRL1 in esophageal cancer (EC) patients. RNAi‐coupled next‐generation sequencing (NGS) and in vitro study reveal FGFRL1‐mediated EC progression via EMT, PI3K/Akt, and Notch pathways. Functional assays confirm its role in tumor growth, migration, and invasion.
Aprajita Srivastava +3 more
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On The Complete Convergence Of Randomly Weighted Sums Of Random Fields
Demonstratio Mathematica, 2014 Let {Xn̲, n̲ ∊ V ⊆ℕd } be a d-dimensional random field indexed by some subset V of lattice ℕd, which are stochastically dominated by a random variable X.
Gdula Agnieszka M., Krajka Andrzej
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Journal of inequalities and applications, 2018 Let r≥1 , 1≤p0 with 1/α+1/β=1/p . Let {ank,1≤k≤n,n≥1} be an array of constants satisfying supn≥1n-1∑k=1n|ank|αεn1/p}0. We also provide moment conditions under which ∑n=1∞nr-2-q/pE(max1≤m≤n|∑k=1mankXk|-εn1/p)+q0, where q>0 . Our results improve and generalize those of Sung (Discrete Dyn. Nat. Soc. 2010:630608, 2010) and Wu et al. (Stat. Probab.
Pingyan Chen, Soo Hak Sung
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Aging and Cancer, EarlyView.Aging‐associated physiological and molecular alterations pose significant challenges in cancer management among India's elderly. Limited geriatric oncology expertise, financial constraints, and inadequate specialized care exacerbate disparities. Strategic expansion of insurance coverage, integration of palliative care, and infrastructural advancements ...
Nihanthy D. Sreenath +3 more
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Complete convergence for arrays of ratios of order statistics
Open Mathematics, 2019 Let {Xn,k, 1 ≤ k ≤ mn, n ≥ 1} be an array of independent random variables from the Pareto distribution. Let Xn(k) be the kth largest order statistic from the nth row of the array and set Rn,in,jn = Xn(jn)/Xn(in) where jn < in. The aim of this paper is to
Miao Yu +3 more
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Cutaneous Melanoma Drives Metabolic Changes in the Aged Bone Marrow Immune Microenvironment
Aging and Cancer, EarlyView.Melanoma, the deadliest form of skin cancer, increasingly affects older adults. Our study reveals that melanoma induces changes in iron and lipid levels in the bone marrow, impacting immune cell populations and increasing susceptibility to ferroptosis.
Alexis E. Carey +12 more
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Aging and Cancer, EarlyView.This study aimed to evaluate the prognostic value of ELN2017 in predicting survival outcomes and to assess the impact of clinical and molecular factors such as age, FLT3 and NPM1 mutations, and allogeneic hematopoietic stem cell transplantation (allo‐HSCT).
Mobina Shrestha +4 more
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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
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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 +12 more
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