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On weighted U-statistics for stationary processes [PDF]

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 ...
Tailen Hsing, Wei Biao Wu
core   +6 more sources

Self-Normalized Moderate Deviations for Degenerate U-Statistics [PDF]

Entropy
In this paper, we study self-normalized moderate deviations for degenerate U-statistics of order 2. Let {Xi,i≥1} be i.i.d. random variables and consider symmetric and degenerate kernel functions in the form h(x,y)=∑l=1∞λlgl(x)gl(y), where λl>0, Egl(X1)=0,
Lin Ge, Hailin Sang, Qi-Man Shao
doaj   +2 more sources

Decoupling and Khintchine's Inequalities for $U$-Statistics [PDF]

The Annals of Probability, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Víctor Peña
openalex   +3 more sources

Analysis of closed and open numerical systems of geochemical data in spatial statistics environment in order to separate anomalous areas [PDF]

Scientific Reports
Geochemical data are expressed in closed numerical systems due to their non-normality and the presence of outliers. The specificity of such data makes it challenging to analyze them using standard statistical techniques. The U-modeling of log-transformed
Mirmahdi Seyedrahimi-Niaraq, Hossein Mahdiyanfar   +1 more
doaj   +2 more sources

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, Ardeshir Hezarkhani   +1 more
doaj   +1 more source

Graphs defined on groups [PDF]

International Journal of Group Theory, 2022
‎This paper concerns aspects of various graphs whose vertex set is a group $G$‎ ‎and whose edges reflect group structure in some way (so that‎, ‎in particular‎, ‎they are invariant under the action of the automorphism group of $G$)‎.
Peter J‎. Cameron
doaj   +1 more source

Muth Distribution and Estimation of a Parameter Using Order Statistics

Statistica, 2021
In this work, we have considered a lifetime distribution namely Muth distribution and pointed out instances where it appears as a good model to study the stochastic nature of the variable under consideration.
Muhammed Rasheed Irshad, Radhakumari Maya, Sasikumar Padmini Arun   +2 more
doaj   +1 more source

Asymptotic Expansions for Symmetric Statistics with Degenerate Kernels

Mathematics, 2022
Asymptotic expansions for U-statistics and V-statistics with degenerate kernels are investigated, respectively, and the remainder term O(n1−p/2), for some p≥4, is shown in both cases.
Shuya Kanagawa
doaj   +1 more source

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, Giraudo, Davide, Volný, Dalibor   +2 more
doaj   +1 more source

On the rate of convergence of degenerate U-statistics

Lietuvos Matematikos Rinkinys, 2005
Let X, X1, X2, ... be independent identically distributed random variables taking values in a measurable space (Ω, ℜ). Let h(x, y) be real valued measurable symmetric function of the arguments x, y ∈ ℜ. Assume that Eh(x, X)= 0, for all x.
Olga Januškevičienė
doaj   +3 more sources