Results 61 to 70 of about 992,707 (136)

Moderate deviations via cumulants

open access: yes, 2010
The purpose of the present paper is to establish moderate deviation principles for a rather general class of random variables fulfilling certain bounds of the cumulants.
A. Dembo   +35 more
core   +1 more source

Statistical Characteristics of Basal Forces Generated by Experimental Debris Flows

open access: yesJournal of Geophysical Research: Solid Earth, Volume 130, Issue 3, March 2025.
Abstract Debris flows are fast‐flowing, high‐energy mixtures of sediment and water that are difficult to monitor. Seismic monitoring instruments can be placed safely outside the channel, but it is an indirect method that needs the application of theory‐based inversion to obtain quantitative information on flow properties and rheology.
Yan Yan   +5 more
wiley   +1 more source

Scaling-up Empirical Risk Minimization: Optimization of Incomplete U-statistics [PDF]

open access: yes, 2016
In a wide range of statistical learning problems such as ranking, clustering or metric learning among others, the risk is accurately estimated by $U$-statistics of degree $d\geq 1$, i.e.
Bellet, Aurélien   +2 more
core   +2 more sources

Packing spanning graphs from separable families

open access: yes, 2016
Let $\mathcal G$ be a separable family of graphs. Then for all positive constants $\epsilon$ and $\Delta$ and for every sufficiently large integer $n$, every sequence $G_1,\dotsc,G_t\in\mathcal G$ of graphs of order $n$ and maximum degree at most $\Delta$
Ferber, Asaf   +2 more
core   +1 more source

Goodness‐of‐fit testing based on graph functionals for homogeneous Erdös–Rényi graphs

open access: yesScandinavian Journal of Statistics, Volume 52, Issue 1, Page 332-380, March 2025.
Abstract The Erdös–Rényi graph is a popular choice to model network data as it is parsimoniously parameterized, straightforward to interpret and easy to estimate. However, it has limited suitability in practice, since it often fails to capture crucial characteristics of real‐world networks. To check its adequacy, we propose a novel class of goodness‐of‐
Barbara Brune   +2 more
wiley   +1 more source

Limit theorems for von Mises statistics of a measure preserving transformation

open access: yes, 2014
For a measure preserving transformation $T$ of a probability space $(X,\mathcal F,\mu)$ we investigate almost sure and distributional convergence of random variables of the form $$x \to \frac{1}{C_n} \sum_ ...
A Leucht   +30 more
core   +1 more source

A Correctness Result for Online Robust PCA

open access: yes, 2015
This work studies the problem of sequentially recovering a sparse vector $x_t$ and a vector from a low-dimensional subspace $l_t$ from knowledge of their sum $m_t = x_t + l_t$. If the primary goal is to recover the low-dimensional subspace where the $l_t$
Lois, Brian, Vaswani, Namrata
core   +1 more source

Estimation of a regular conditional functional by conditional U‐statistic regression

open access: yesStatistica Neerlandica, Volume 79, Issue 1, February 2025.
U‐statistics constitute a large class of estimators, generalizing the empirical mean of a random variable X to sums over every k‐tuple of distinct observations of X. They may be used to estimate a regular functional θ(ℙX) of the law of X. When a vector of covariates Z is available, a conditional U‐statistic describes the effect of z on the conditional ...
Alexis Derumigny
wiley   +1 more source

Negative Probability

open access: yesApplied Stochastic Models in Business and Industry, Volume 41, Issue 1, January/February 2025.
ABSTRACT Negative probabilities arise primarily in physics, statistical quantum mechanics, and quantum computing. Negative probabilities arise as mixing distributions of unobserved latent variables in Bayesian modeling. Our goal is to provide a link between these two viewpoints.
Nick Polson, Vadim Sokolov
wiley   +1 more source

Quantum U-statistics

open access: yes, 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 selfadjoint `kernel' $K$ acting on $(\mathbb{C}^{d})^{\otimes r}$ with ...
Butucea, Cristina, Guta, Madalin
core   +1 more source

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