Results 11 to 20 of about 563,530 (312)
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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The LIL for canonical U-statistics
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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The LIL for U-Statistics in Hilbert Spaces [PDF]
Journal of Theoretical Probability, 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, which are of independent interest.
Adamczak, Radosław, Latała, Rafał
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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
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Sectorial convergence of U-statistics [PDF]
The Annals of Probability, 2005 Published at http://dx.doi.org/10.1214/009117904000001080 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Gadidov, Anda
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Statistical treatment of nuclear counting results [PDF]
Nuclear Technology and Radiation Protection, 2011 Since the exact time a specific nucleus undergoes radioactive decay cannot be specified, nor can showers caused by secondary cosmic rays be predicted, statistical laws play an important role in almost all cases of experimental nuclear physics.
Dolićanin Ćemal B. +3 more
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U-Statistics based on spacings [PDF]
Journal of Statistical Planning and Inference, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tung, David D, Jammalamadaka, S Rao
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Revista Colombiana de Estadística, 2017 In this paper, we consider two well-known methods for analysis of the Gini index, which are U-statistics and linearization for some income distributions.
Shahryar Mirzaei +2 more
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A systematic review of the usage of flow diagram in cluster randomized trials [PDF]
Praxis Medica, 2014 Flow diagram represent an integral part of consolidated standards of reporting trials (CONSORT). Its use in reporting cluster randomization trials is highly recommended.
Kostić M. +4 more
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Bootstrap for U-Statistics: A new approach [PDF]
, 2015 Bootstrap for nonlinear statistics like U-statistics of dependent data has been studied by several authors. This is typically done by producing a bootstrap version of the sample and plugging it into the statistic.
Sharipov, Olimjon Sh. +2 more
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