Results 11 to 20 of about 106,270 (318)
U-Statistics in Stochastic Geometry [PDF]
, 2016 This survey will appear as a chapter of the forthcoming book [19]. A U-statistic of order $k$ with kernel $f:\X^k \to \R^d$ over a Poisson process is defined in \cite{ReiSch11} as$$ \sum\_{x\_1, \dots , x\_k \in ^k\_{\neq}} f(x\_1, \dots, x\_k) $$ under appropriate integrability assumptions on $f$.
Lachièze-Rey, Raphaël +1 more
openaire +6 more sources
On weighted U-statistics for stationary processes
The Annals of Probability, 2004 Published by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Probability (http://www.imstat.org/aop/) at http://dx.doi.org/10.1214 ...
Hsing, Tailen, Wu, Wei Biao
openaire +5 more sources
On local U-statistic processes and the estimation of densities of functions of several sample variables [PDF]
, 2007 A notion of local $U$-statistic process is introduced and central limit theorems in various norms are obtained for it. This involves the development of several inequalities for $U$-processes that may be useful in other contexts.
Evarist Gine, David M. Mason
openalex +4 more sources
Two-Sample U-Statistic Processes for Long-Range Dependent Data [PDF]
, 2014 Motivated by some common-change point tests, we investigate the asymptotic distribution of the U-statistic process $U_n(t)=\sum_{i=1}^{[nt]}\sum_{j=[nt]+1}^n h(X_i,X_j)$, $0\leq t\leq 1$, when the underlying data are long-range dependent.
Herold Dehling +2 more
openalex +4 more sources
A U-statistic estimator for the variance of resampling-based error estimators [PDF]
, 2013 We revisit resampling procedures for error estimation in binary classification in terms of U-statistics. In particular, we exploit the fact that the error rate estimator involving all learning-testing splits is a U-statistic.
Mathias Fuchs +3 more
openalex +6 more sources
Axioms, 2023 Due to the complexity of the data being generated day in and day out in many practical domains, as a result of the development of scales for rating the success or failure of reliability, a new domain of reliability called the classes of life and ...
Hana Alqifari +5 more
doaj +1 more source
Some laws of a system with a constant amount of energy [PDF]
Science of Sintering, 2008 In this paper, different relationships and functional dependences of a system with a constant energy U=const., have been analyzed. The combinatorial nature of this analysis enables the conclusion that a family of entropy curves i.e.
Blagojević D. +4 more
doaj +1 more source
New classes at Specific Age: Properties and Testing hypotheses [PDF]
Journal of Statistical Theory and Applications (JSTA), 2013 In this article we introduce new classes of life distributions namely new better (worse) than used in expectation at specific age t0 NBUE-t0 (NWUE-t0) and harmonic new better (worse) than used in expectation at specific age t0 HNBUE-t0 (HNWUE-t0).
M.A.W. Mahmoud +3 more
doaj +1 more source
Scientific Reports, 2021 Risk factors associated with 72-h mortality in patients with extremely high serum aspartate aminotransferase levels (AST; ≥ 3000 U/L) are unknown. This single-centre, retrospective, case-controlled, cross-sectional study obtained data from medical ...
Kai Saito +4 more
doaj +1 more source
U-Statistic for Multivariate Stable Distributions
Journal of Probability and Statistics, 2017 A U-statistic for the tail index of a multivariate stable random vector is given as an extension of the univariate case introduced by Fan (2006). Asymptotic normality and consistency of the proposed U-statistic for the tail index are proved theoretically.
Mahdi Teimouri +2 more
doaj +1 more source