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Law of large numbers for a two-dimensional class cover problem

期刊: ESAIM-PROBABILITY AND STATISTICS, 2021; 25 ()

We prove a Law of Large Numbers (LLN) for the domination number of class cover catch digraphs (CCCD) generated by random points in two (or higher) dim......

The Berry-Esseen bound of a wavelet estimator in non-randomly designed nonparametric regression model based on ANA errors*

期刊: ESAIM-PROBABILITY AND STATISTICS, 2020; 24 ()

Consider the nonparametric regression model Y-ni = g(t(ni)) + epsilon(i), i = 1, 2, horizontal ellipsis , n, n >= 1, where epsilon(i), 1 <= i &l......

A probabilistic approach to quasilinear parabolic PDEs with obstacle and Neumann problems*

期刊: ESAIM-PROBABILITY AND STATISTICS, 2020; 24 ()

In this paper, by a probabilistic approach we prove that there exists a unique viscosity solution to obstacle problems of quasilinear parabolic PDEs c......

TEMPERED FRACTIONAL MULTISTABLE MOTION AND TEMPERED MULTIFRACTIONAL STABLE MOTION

期刊: ESAIM-PROBABILITY AND STATISTICS, 2019; 23 ()

This work de fines two classes of processes, that we term tempered fractional multistable motion and tempered multifractional stable motion. They are ......

JIF:0.65

BECKNER INEQUALITIES FOR MOEBIUS MEASURES ON SPHERES

期刊: ESAIM-PROBABILITY AND STATISTICS, 2019; 23 ()

In this paper, we consider the Moebius measures mu(n)(x) indexed by dimension n and vertical bar x vertical bar < 1 on the unit sphere Sm-1 in R-n ......

JIF:0.65

A test for block circular symmetric covariance structure with divergent dimension*

期刊: ESAIM-PROBABILITY AND STATISTICS, 2019; 23 ()

The paper considers the likelihood ratio (LR) test on the block circular symmetric covariance structure of a multivariate Gaussian population with div......

JIF:0.65

QUASI-ERGODICITY FOR ABSORBING MARKOV PROCESSES VIA DEVIATION INEQUALITY

期刊: ESAIM-PROBABILITY AND STATISTICS, 2017; 21 ( )

In this note, taking the killed Brownian motion as an illustrative model, we derive a conditional deviation inequality for integral(t)(0) V (X-s) ds f......

JIF:0.49

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