Results 41 to 50 of about 569,923 (314)
On high-frequency limits of $U$-statistics in Besov spaces over compact manifolds [PDF]
, 2016 In this paper, quantitative bounds in high-frequency central limit theorems are derived for Poisson based $U$-statistics of arbitrary degree built by means of wavelet coefficients over compact Riemannian manifolds. The wavelets considered here are the so-
Bourguin, Solesne, Durastanti, Claudio
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Poisson limits for U-statistics
Stochastic Processes and their Applications, 2002 In the first part of the paper point processes of structure like a \(U\)-statistic with a symmetric non-negative kernel are considered and their convergence to a Poisson process is established under conditions of regularity and asymptotic independence. The result is then utilized to obtain \(\alpha \)-stable limits for \(U\)-statistics with heavy right-
Dabrowski, André R +3 more
openaire +2 more sources
The LIL for $U$-statistics in Hilbert spaces
, 2007 We give necessary and sufficient conditions for the (bounded) law of the iterated logarithm for $U$-statistics in Hilbert spaces. As a tool we also develop moment and tail estimates for canonical Hilbert-space valued $U$-statistics of arbitrary order ...
C. Houdré +19 more
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Asymptotics for the Moment Convergence of U-Statistics in LIL
Journal of Inequalities and Applications, 2010 Let Un be a U-statistic based on a symmetric kernel h(x,y) and i.i.d. samples {X,Xn;n≥1}. In this paper, the exact moment convergence rates in the law of the iterated logarithm and the law of the logarithm of Un are obtained, which extend previous
Ke-Ang Fu
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Moment inequalities for U-statistics
, 2007 We present moment inequalities for completely degenerate Banach space valued (generalized) U-statistics of arbitrary order. The estimates involve suprema of empirical processes which, in the real-valued case, can be replaced by simpler norms of the ...
Adamczak, Radosław
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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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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Pediatric patients with extracranial solid tumors (ST) receiving chemotherapy are at an increased risk for Pneumocystis jirovecii pneumonia (PJP). However, evidence guiding prophylaxis practices in this population is limited. A PJP‐related fatality at our institution highlighted inconsistent prescribing approaches and concerns about
Kriti Kumar +8 more
wiley +1 more source
Asymptotic distributions of degenerated U-statistics
Statistical Theory and Related FieldsA degenerated U-statistic with rank 2 is known to converge in distribution to a weighted sum of independent chi-square random variables. However, a result for the asymptotic distribution of a degenerated U-statistic with rank higher than 2 is not ...
Jun Shao
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Statistica, 2015 In this work we have derived appropriate U-statistics from a sample of any size exceeding a specified integer to estimate the location and scale parameters of Type III generalized logistic distribution without the knowledge or by evaluation of the means,
Poruthiyudian Yageen Thomas, R. R. Priya
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Estimating invariant laws of linear processes by U-statistics [PDF]
, 2004 Suppose we observe an invertible linear process with independent mean-zero innovations and with coefficients depending on a finite-dimensional parameter, and we want to estimate the expectation of some function under the stationary distribution of the ...
Schick, Anton, Wefelmeyer, Wolfgang
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