Results 61 to 70 of about 4,122,773 (336)
Robust modifications of U-statistics and applications to covariance estimation problems [PDF]
Bernoulli, 2018 Let $Y$ be a $d$-dimensional random vector with unknown mean $\mu$ and covariance matrix $\Sigma$. This paper is motivated by the problem of designing an estimator of $\Sigma$ that admits tight deviation bounds in the operator norm under minimal ...
Stanislav Minsker, Xiaohan Wei
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Quantitative de Jong theorems in any dimension [PDF]
, 2016 We develop a new quantitative approach to a multidimensional version of the well-known {\it de Jong's central limit theorem} under optimal conditions, stating that a sequence of Hoeffding degenerate $U$-statistics whose fourth cumulants converge to zero ...
Döbler, Christian, Peccati, Giovanni
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UNSUPERVISED CHANGE DETECTION IN SAR IMAGES USING GAUSSIAN MIXTURE MODELS [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2015 In this paper, we propose a method for unsupervised change detection in Remote Sensing Synthetic Aperture Radar (SAR) images. This method is based on the mixture modelling of the histogram of difference image.
E. Kiana +3 more
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Randomized incomplete $U$-statistics in high dimensions [PDF]
Annals of Statistics, 2017 This paper studies inference for the mean vector of a high-dimensional $U$-statistic. In the era of Big Data, the dimension $d$ of the $U$-statistic and the sample size $n$ of the observations tend to be both large, and the computation of the $U ...
Xiaohui Chen, Kengo Kato
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Limiting cumulants of U-statistics
Applied Mathematics Letters, 1992 AbstractA simple expression is derived for the cumulants of the asymptotic distribution of U-statistics of arbitrary degree with degenerate kernels.
Richard A. Redner, Kevin A. O’Neil
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Kontrola tačnosti rezultata u simulacijama Monte Karlo / Accuracy control in Monte Carlo simulations
Vojnotehnički Glasnik, 2010 U radu je demonstrirana primena metode automatizovanog ponavljanja nezavisnih simulacionih eksperimenata sa prikupljanjem statistike slučajnih procesa, u dostizanju i kontroli tačnosti simulacionih rezultata u simulaciji sistema masovnog opsluživanja ...
Nebojša V. Nikolić
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Diversity and Dynamics of Seaweed Associated Microbial Communities Inhabiting the Lagoon of Venice
Microorganisms, 2020 Seaweeds are a group of essential photosynthetic organisms that harbor a rich diversity of associated microbial communities with substantial functions related to host health and defense. Environmental and anthropogenic stressors may disrupt the microbial
Abdul-Salam Juhmani +6 more
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Convergence of U-statistics for interacting particle systems [PDF]
, 2009 The convergence of U-statistics has been intensively studied for estimators based on families of i.i.d. random variables and variants of them. In most cases, the independence assumption is crucial [Lee90, de99].
Del Moral, P. +2 more
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Second-order ResU-Net for automatic MRI brain tumor segmentation
Mathematical Biosciences and Engineering, 2021 Tumor segmentation using magnetic resonance imaging (MRI) plays a significant role in assisting brain tumor diagnosis and treatment. Recently, U-Net architecture with its variants have become prevalent in the field of brain tumor segmentation.
Ning Sheng +4 more
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The Annals of Probability, 1991 We introduce a class of so-called conditional $U$-statistics, which generalize the Nadaraya-Watson estimate of a regression function in the same way as Hoeffding's classical $U$-statistics is a generalization of the sample mean. Asymptotic normality and weak and strong consistency are proved.
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