Results 51 to 60 of about 166,872,446 (336)
In this explorative study, the abundance of circular RNA molecules in bone marrow stem cells was found to be elevated in patients with high‐risk myelodysplastic neoplasms, and to be associated with an increased risk of progression to acute myeloid leukemia.
Eileen Wedge +17 more
wiley +1 more source
Kolmogorov's strong law of large numbers holds for pairwise uncorrelated random variables [PDF]
Используя подход Н. Этемади (1981 г.) к усиленному закону больших чисел (УЗБЧ) и развитие этого подхода, предпринятое в работе Ш. Чeргe, К. Тандори и В. Тотика (1983 г.), мы приводим более слабые условия, при которых УЗБЧ все еще справедлив, для попарно ...
Maximilian Janisch
semanticscholar +1 more source
A note on the strong law of large numbers for associated sequences
We prove that the sequence {bn−1∑i=1n(Xi−EXi)}n≥1 converges a.e. to zero if {Xn,n≥1} is anassociated sequence of random variables with ∑n=1∞bkn−2Var(∑i=kn−1+1knXi)
A. Nezakati
doaj +1 more source
In this work, the authors study some convergence results including weak law of large numbers, strong law of large numbers, complete convergence, and complete moment convergence for weighted sums of coordinatewise asymptotically negatively associated ...
He Qihui, Pan Lin
doaj +1 more source
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
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
Uniform strong law of large numbers for random signed measures
We prove a strong law of large numbers for random signed measures on Euclidean space that holds uniformly over a family of arguments (sets) scaled by diagonal matrices.
Klesov, Oleg I. +3 more
core +1 more source
On the strong law for arrays and for the bootstrap mean and variance
Chung type strong laws of large numbers are obtained for arrays of rowwise independent random variables under various moment conditions. An interesting application of these results is the consistency of the bootstrap mean and variance.
Tien-Chung Hu, R. L. Taylor
doaj +1 more source
Strong law of large numbers on graphs and groups [PDF]
We consider (graph-)group-valued random element $ξ$, discuss the properties of a mean-set $\ME(ξ)$, and prove the generalization of the strong law of large numbers for graphs and groups. Furthermore, we prove an analogue of the classical Chebyshev's inequality for $ξ$ and Chernoff-like asymptotic bounds.
Natalia Mosina, Alexander Ushakov
openaire +4 more sources
In this paper, we give some exponential inequalities for extended independent random variables under sub-linear expectations. As an application, we obtain the strong convergence rate O(n-1/2 ln1/2 n) for the strong law of large numbers under sub ...
Xu-Fei Tang, Xuejun Wang, Yi Wu
semanticscholar +1 more source

