Results 51 to 60 of about 1,623,067 (304)

On Cantrell–Rosalsky’s strong laws of large numbers

Statistics & Probability Letters, 2009
Starting from a result of almost sure (a.s.) convergence for nonnegative random variables a simplified proof of a strong law of large numbers (SLLN) established by \textit{A. Cantrell} and \textit{A. Rosalsky} [(*) Stochastic Anal. Appl. 21, No. 1, 79--95 (2003; Zbl 1034.60005)], for random elements in a real separable Banach space is presented ...
Ordóñez Cabrera, Manuel, Volodin, Andrei   +1 more
openaire   +3 more sources

Infrared laser sampling of low volumes combined with shotgun lipidomics reveals lipid markers in palatine tonsil carcinoma

Molecular Oncology, EarlyView.
Nanosecond infrared laser (NIRL) low‐volume sampling combined with shotgun lipidomics uncovers distinct lipidome alterations in oropharyngeal squamous cell carcinoma (OPSCC) of the palatine tonsil. Several lipid species consistently differentiate tumor from healthy tissue, highlighting their potential as diagnostic markers.
Leonard Kerkhoff, Manuela Moritz, Dennis Eggert, Anna Worthmann, Joerg Heeren, Henrike Zech, Till S. Clauditz, Waldemar Wilczak, Hartmut Schlüter, Christian S. Betz, Arne Böttcher, Jan Hahn   +11 more
wiley   +1 more source

On the Strong Law of Large Numbers for Nonnegative Random Variables. With an Application in Survey Sampling

Austrian Journal of Statistics, 2021
Strong laws of large numbers with arbitrary norming sequences for nonnegative not necessarily independent random variables are obtained. From these results we establish, among other things, stability results for weighted sums of nonnegative random ...
Tobias Schoch
doaj   +1 more source

Marcinkiewicz-Zygmund Strong Law of Large Numbers for Pairwise i.i.d. Random Variables [PDF]

, 2015
It is shown that the Marcinkiewicz-Zygmund strong law of large numbers holds for pairwise independent identically distributed random variables. It is proved that if $X_{1}, X_{2}, \ldots$ are pairwise independent identically distributed random variables ...
Korchevsky, Valery
core  

Strong law of large numbers for the interface in ballistic deposition

, 1999
We prove a hydrodynamic limit for ballistic deposition on a multidimensional lattice. In this growth model particles rain down at random and stick to the growing cluster at the first point of contact.
Seppalainen, Timo
core   +2 more sources

KLK7 overexpression promotes an aggressive phenotype and facilitates peritoneal dissemination in colorectal cancer cells

FEBS Open Bio, EarlyView.
KLK7, a tissue kallikrein‐related peptidase, is elevated in advanced colorectal cancer and associated with shorter survival. High KLK7 levels in ascites correlate with peritoneal metastasis. In mice, KLK7 overexpression increases metastasis. In vitro, KLK7 enhances cancer cell proliferation, migration, adhesion, and spheroid formation, driving ...
Yosr Z. Haffani, Tobias Dreyer, Meriem Naim, Rea Lo Dico, Natalia A. Ignatenko, Viktor Magdolen, Dalila Darmoul   +6 more
wiley   +1 more source

Complete convergence for weighted sums of widely orthant-dependent random variables

Journal of Inequalities and Applications, 2021
The complete convergence results for weighted sums of widely orthant-dependent random variables are obtained. A strong law of large numbers for weighted sums of widely orthant-dependent random variables is also obtained. Our results extend and generalize
Pingyan Chen, Soo Hak Sung
doaj   +1 more source

On a simple strategy weakly forcing the strong law of large numbers in the bounded forecasting game

, 2005
In the framework of the game-theoretic probability of Shafer and Vovk (2001) it is of basic importance to construct an explicit strategy weakly forcing the strong law of large numbers (SLLN) in the bounded forecasting game.
Kumon, Masayuki, Takemura, Akimichi
core   +2 more sources

Decreased Serum 5‐HT: Clinical Correlates and Regulatory Role in NMJ of MG

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Although 5‐Hydroxytryptamine (5‐HT) indirectly stimulates muscle contraction and participates in regulating Acetylcholine receptor (AChR) cluster homeostasis in cellular, animal, and clinical studies, evidence regarding its potential to modulate muscle contraction in myasthenia gravis (MG) remains limited.
Xinru Shen, Jing Zhang, Xinyue Zhou, Xiaoxiao Yu, Haodong Shang, Shufan Chen, Lulu Zhen, Jinru Wu, Guanlian Hu, Xiaoyan Zhu, Zhan Sun, Yiren Wang, Jiahui Wang, Jie Lv, Xue Zhao, Yingna Zhang, Wei Guo, Ying Peng, Feng Gao   +18 more
wiley   +1 more source

A strong law of large numbers for independent compactly uniformly integrable random sets [PDF]

Arab Journal of Mathematical Sciences
PurposeThe aim of this work is to prove a strong law of large numbers for a sequence of independent compactly uniformly integrable random sets with values in the family of convex closed subsets of a separable Banach space E, again without requiring any ...
Mohammed El Allali, El-Moustafid Mohamed, Fatima Ezzaki   +2 more
doaj   +1 more source