Results 1 to 10 of about 99,558 (321)
Journal of Mathematical Physics, 2010 The notion of a U-statistic for an n-tuple of identical quantum systems is introduced in analogy to the classical (commutative) case: given a self-adjoint “kernel” K acting on (Cd)⊗r with r<n, we define the symmetric operator Un=(nr)∑βK(β) with K(β) being the kernel acting on the subset β of {1,…,n}.
Madalin Guta, Christina Butucea
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A weighted U-statistic for genetic association analyses of sequencing data. [PDF]
Genet Epidemiol, 2014 Wei C +5 more
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A new method for determining geochemical anomalies: U-N and U-A fractal models [PDF]
International Journal of Mining and Geo-Engineering, 2022 Undoubtedly, determining the threshold of anomalies and separating geochemical anomalies from background is one of the most important stages of minerals exploration.
Seyyed saeed Ghannadpour +1 more
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Delineation of mineral potential zone using U-statistic method in processing satellite remote sensing images [PDF]
International Journal of Mining and Geo-Engineering, 2023 Delineating and mapping alteration zones in porphyry copper exploration is of special importance. In this study, satellite image processing techniques were employed to highlight alteration zones in the Zafarghand exploration area.
Seyyed saeed Ghannadpour +3 more
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Some remarks on the ergodic theorem for $U$-statistics
Comptes Rendus. Mathématique, 2023 In this note, we investigate the convergence of a $U$-statistic of order two having stationary ergodic data. We will find sufficient conditions for the almost sure and $L^1$ convergence and present some counter-examples showing that the $U$-statistic ...
Dehling, Herold +2 more
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Jackknife Empirical Likelihood Inference for the Variance Residual Life Function
Revstat Statistical Journal, 2021 In life testing situations, the residual life time of a component which has survived t units of time is Xt = X −t|X > t. In this paper, we give a central limit theorem result for the estimator of Var(Xt), the variance residual life(VRL) function.
Vali Zardasht
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On normal approximations to U-statistics [PDF]
The Annals of Probability, 2009 Published in at http://dx.doi.org/10.1214/09-AOP474 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Bentkus, Vidmantas +2 more
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A new test of multivariate nonlinear causality. [PDF]
PLoS ONE, 2018 The multivariate nonlinear Granger causality developed by Bai et al. (2010) (Mathematics and Computers in simulation. 2010; 81: 5-17) plays an important role in detecting the dynamic interrelationships between two groups of variables.
Zhidong Bai +5 more
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The LIL for canonical U-statistics [PDF]
The Annals of Probability, 2008 We give necessary and sufficient conditions for the (bounded) law of the iterated logarithm for canonical $U$-statistics of arbitrary order $d$, extending the previously known results for $d=2$. The nasc's are expressed as growth conditions on a parameterized family of norms associated with the $U$-statistics kernel.
Adamczak, Radosław, Latała, Rafał
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DESIGN BASED INCOMPLETE U-STATISTICS [PDF]
Statistica Sinica, 2021 49 ...
Wei Zheng, Xiangshun Kong
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