Results 51 to 60 of about 6,151,667 (279)

Properties of Matrix Variate Beta Type 3 Distribution

International Journal of Mathematics and Mathematical Sciences, 2009
We study several properties of matrix variate beta type 3 distribution. We also derive probability density functions of the product of two independent random matrices when one of them is beta type 3.
Arjun K. Gupta, Daya K. Nagar
doaj   +1 more source

Inequalities involving hypergeometric and related functions

Journal of Inequalities and Applications, 2018
An inequality is being proved which is connected to cost-effective numerical density estimation of the hyper-gamma probability distribution. The left-hand side of the inequality is a combination of two in the third parameter distinct versions of the ...
Siegfried H. Lehnigk
doaj   +1 more source

On the Normal Approximation to the Hypergeometric Distribution [PDF]

The Annals of Mathematical Statistics, 1956
In this paper a new normal approximation to a sum of hypergeometric terms is derived, which is a direct generalization of Feller's normal approximation to the binomial distribution [2]. For intervals that are asymmetric with respect to the mean, or when the distribution is skewed, the new approximation is a marked improvement over the classical ...
openaire   +2 more sources

Duality in information retrieval and the hypergeometric distribution [PDF]

Journal of Documentation, 1997
Duality is an important topic in informetrics, especially in connection with the classical informetric laws. Yet this concept is less studied in information retrieval. It deals with the unification or symmetry between queries and documents, search formulation versus indexing, and relevant versus retrieved documents.
EGGHE, Leo, ROUSSEAU, Ronald
openaire   +4 more sources

Immune Checkpoint PD‐L1 Modulates Retinal Microglial Activation to Alleviate Vascular Leakage in Choroidal Neovascularization via ERK

Advanced Science, EarlyView.
PD‐L1 limits neuroinflammation in neovascular AMD by modulating microglial activation. Its deficiency exacerbates vascular leakage and choroidal neovascularization (CNV) via ERK signaling, while enhancing PD‐L1 reduces inflammation and neovascularization. Targeting PD‐L1 may offer a novel immunomodulatory strategy for NVAMD.
Yue Zou, Junliang Jiang, Yunqin Li, Xinyi Ding, Qiuping Tong, Ying Shi, Lei Xiao, Ling Chen   +7 more
wiley   +1 more source

Approximation process of a positive linear operator of hypergeometric type

Demonstratio Mathematica
In this article, we construct a new sequence of positive linear operators Hn:B[0,1]→C[0,1]{H}_{n}:B{[}0,1]\to C{[}0,1] using the hypergeometric distribution of probability theory and the rational values of f at the equally spaced control points k∕nk/n
Karsli Harun
doaj   +1 more source

Distributions on partitions, point processes, and the hypergeometric kernel [PDF]

Commun. Math. Phys. 211 (2000), no. 2, 335-358., 1999
We study a 3-parametric family of stochastic point processes on the one-dimensional lattice originated from a remarkable family of representations of the infinite symmetric group. We prove that the correlation functions of the processes are given by determinantal formulas with a certain kernel.
arxiv   +1 more source

IncRNA‐ZFAS1, an Emerging Gate‐Keeper in DNA Damage‐Dependent Transcriptional Regulation

Advanced Science, EarlyView.
LncZFAS1 plays a crucial role during DNA damage response in mammalian cells. Loss of lncZFAS1 results in deficient DNA lesion removal and reduced cell viability. Mechanistically, lncZFAS1 modulates RNAPII phosphorylation and transcription and thereby promotes both GG‐NER and TC‐NER upon UV damage.
Jiena Liu, Qing Lu, Zixuan Fan, Jiahui Lin, Nan He, Xin Zhang, Zhaoya Han, Tingting Zhu, Zhenzhen Wu, Yingying Xu, Yuming Wang   +10 more
wiley   +1 more source

Bounds on the Information Divergence for Hypergeometric Distributions [PDF]

arXiv, 2020
The hypergeometric distributions have many important applications, but they have not had sufficient attention in information theory. Hypergeometric distributions can be approximated by binomial distributions or Poisson distributions. In this paper we present upper and lower bounds on information divergence.
arxiv  

Key Connectomes and Synaptic‐Compartment‐Specific Risk Genes Drive Pathological α‐Synuclein Spreading

Advanced Science, EarlyView.
Utilizing a stereotaxic injection mouse model and a novel mathematical approach, this study uncovers key subnetworks that drive pathological α‐synuclein (α‐Syn) progression in Parkinson's disease (PD). Remarkably, just 2% of the strongest connections in the connectome are sufficient to predict its spread.
Yuanxi Li, Justin Torok, Shujing Zhang, Jessica Ding, Ning Wang, Courtney Lau, Shruti Kulkarni, Chaitali Anand, Julie Tran, Michael Cheng, Claire Lo, Binbin Lu, Yanzi Sun, Robert Damoiseaux, Xia Yang, Ashish Raj, Chao Peng   +16 more
wiley   +1 more source