Bernoulli

Papers
(The median citation count of Bernoulli is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-11-01 to 2025-11-01.)
ArticleCitations
Exponential ergodicity for damping Hamiltonian dynamics with state-dependent and non-local collisions88
Non-asymptotic properties of spectral decomposition of large Gram-type matrices and applications55
Optimal tests for elliptical symmetry: Specified and unspecified location27
An optimal uniform concentration inequality for discrete entropies on finite alphabets in the high-dimensional setting25
Siblings in d-dimensional nearest neighbour trees24
Rearranged dependence measures22
The asymptotic distribution of the MLE in high-dimensional logistic models: Arbitrary covariance22
On eigenvalues of a high-dimensional spatial-sign covariance matrix21
Extrinsic derivative formula for distribution dependent SDEs20
A new adaptive local polynomial density estimation procedure on complicated domains19
Ergodicity, CLT and asymptotic maximum of the Airy1 process18
SPDEs with non-Lipschitz coefficients and nonhomogeneous boundary conditions17
Mixing properties of non-stationary INGARCH(1,1) processes16
Homogenization of nonlocal partial differential equations related to stochastic differential equations with Lévy noise16
Stochastic zeroth-order discretizations of Langevin diffusions for Bayesian inference15
Nonparametric estimation of locally stationary Hawkes processes15
Smoothed circulas: Nonparametric estimation of circular cumulative distribution functions and circulas15
Density estimation under local differential privacy and Hellinger loss14
High-dimensional variable selection with heterogeneous signals: A precise asymptotic perspective14
A flexible approach for normal approximation of geometric and topological statistics14
Functional linear and single-index models: A unified approach via Gaussian Stein identity14
Independence preserving property of Kummer laws14
Distribution-free tests of multivariate independence based on center-outward quadrant, Spearman, Kendall, and van der Waerden statistics14
On consistency and sparsity for high-dimensional functional time series with application to autoregressions13
Measuring association with Wasserstein distances13
Detecting long-range dependence for time-varying linear models13
Poisson approximation in χ2 distance by the Stein-Chen approach12
An edge CLT for the log determinant of Wigner ensembles12
Learning to reflect: A unifying approach for data-driven stochastic control strategies12
Non-asymptotic bounds for the ℓ∞ estimator in linear regression with uniform noise11
The Goldenshluger–Lepski method for constrained least-squares estimators over RKHSs11
On weak conditional convergence of bivariate Archimedean and Extreme Value copulas, and consequences to nonparametric estimation10
Rough paths and symmetric-Stratonovich integrals driven by singular covariance Gaussian processes10
Reversibility of elliptical slice sampling revisited10
Functional inequalities for perturbed measures with applications to log-concave measures and to some Bayesian problems10
Adaptive estimation in the linear random coefficients model when regressors have limited variation10
Inadmissibility of the corrected Akaike information criterion10
Efficient and consistent model selection procedures for time series10
Bootstrap percolation on the stochastic block model10
Laplace priors and spatial inhomogeneity in Bayesian inverse problems10
Finite-energy infinite clusters without anchored expansion9
Additive regression with parametric help9
PDE characterization of geometric distribution functions and quantiles9
Explicit bounds for spectral theory of geometrically ergodic Markov kernels and applications9
Dating the break in high-dimensional data9
Conditional quantiles: An operator-theoretical approach9
Inference for change-plane regression9
Posterior consistency in multi-response regression models with non-informative priors for the error covariance matrix in growing dimensions9
Almost sure growth of integrated supOU processes9
Local minimax rates for closeness testing of discrete distributions9
Goodness-of-fit tests for high-dimensional parametric multiresponse regressions9
Testing with p*-values: Between p-values, mid p-values, and e-values8
Empirical Bayes inference for the block maxima method8
M-estimation for varying coefficient models with a functional response in a reproducing kernel Hilbert space8
Nonparametric inference for reversed mean models with panel count data8
Estimating the parameters of some common Gaussian random fields with nugget under fixed-domain asymptotics8
Rank-based testing for semiparametric VAR models: A measure transportation approach8
Finitely additive mass transportation8
Detecting changes in the trend function of heteroscedastic time series8
Rates of convergence for the number of zeros of random trigonometric polynomials8
A ridge estimator of the drift from discrete repeated observations of the solution of a stochastic differential equation8
Local continuity of log-concave projection, with applications to estimation under model misspecification8
Adaptiveness of the empirical distribution of residuals in semi-parametric conditional location scale models8
Semiparametric regression of panel count data with informative terminal event8
Flexible-bandwidth needlets7
Data fusion methods for the heterogeneity of treatment effect and confounding function7
Spectral representations of characteristic functions of discrete probability laws7
Multiple testing under negative dependence7
Linear functional estimation under multiplicative measurement error7
Deviation inequalities and Cramér-type moderate deviations for the explosive autoregressive process7
Online drift estimation for jump-diffusion processes7
Multiplier U-processes: Sharp bounds and applications7
Stochastic integration with respect to local time of the Brownian sheet and regularising properties of Brownian sheet paths6
A new shape of extremal clusters for certain stationary semi-exponential processes with moderate long range dependence6
On the singular values of complex matrix Brownian motion with a matrix drift6
At the edge of a one-dimensional jellium6
A nonparametric distribution-free test of independence among continuous random vectors based on L1-norm6
Spine for interacting populations and sampling6
Malliavin calculus techniques for local asymptotic mixed normality and their application to hypoelliptic diffusions6
A large-sample theory for infinitesimal gradient boosting6
Scalable Monte Carlo inference and rescaled local asymptotic normality6
Accuracy of Gaussian approximation for high-dimensional posterior distributions6
Ergodicity of supercritical SDEs driven by α-stable processes and heavy-tailed sampling6
Dimension-agnostic inference using cross U-statistics6
Berry-Esseen bound and Cramér moderate deviation expansion for a supercritical branching random walk6
Sandpiles on the Vicsek fractal explode with probability 146
Extreme singular values of inhomogeneous sparse random rectangular matrices6
Bootstrap inference in functional linear regression models with scalar response6
The extended Ville’s inequality for nonintegrable nonnegative supermartingales5
A bootstrapped test of covariance stationarity based on orthonormal transformations5
Compound Poisson disorder problem with uniformly distributed disorder time5
Mean stationarity test in time series: A signal variance-based approach5
Adaptive schemes for piecewise deterministic Monte Carlo algorithms5
Heat content for Gaussian processes: Small-time asymptotic analysis5
On a projection-based class of uniformity tests on the hypersphere5
Sequential change diagnosis revisited and the Adaptive Matrix CuSum5
Moments of exponential functionals of Lévy processes on a deterministic horizon – identities and explicit expressions5
A probabilistic view of latent space graphs and phase transitions5
Nonparametric estimation for additive concurrent regression models5
Edgeworth expansion by Stein’s method5
On the joint distribution of the area and the number of peaks for Bernoulli excursions5
Recovering Brownian and jump parts from high-frequency observations of a Lévy process5
Tracy-Widom limit for the largest eigenvalue of high-dimensional covariance matrices in elliptical distributions5
Template matching with ranks5
Local asymptotic normality for ergodic jump-diffusion processes via transition density approximation5
Nearly minimax robust estimator of the mean vector by iterative spectral dimension reduction5
On the convergence of PINNs5
Loop-erased random walk branch of uniform spanning tree in topological polygons5
Estimating the inter-occurrence time distribution from superposed renewal processes5
Learning with tree tensor networks: Complexity estimates and model selection5
Log-concave density estimation in undirected graphical models5
Bootstrap inference for a class of non-regular estimators5
Lower bounds on the rate of convergence for accept-reject-based Markov chains in Wasserstein and total variation distances4
Optimal stopping of the stable process with state-dependent killing4
From dense to sparse design: Optimal rates under the supremum norm for estimating the mean function in functional data analysis4
Some rapidly mixing hit-and-run samplers for latent counts in linear inverse problems4
On the asymptotic behavior of a finite section of the optimal causal filter4
Nonparametric estimation of jump rates for a specific class of piecewise deterministic Markov processes4
Self-normalized Cramér type moderate deviations for martingales and applications4
Asymptotics of discrete Schrödinger bridges via chaos decomposition4
Optimal 1-Wasserstein distance for WGANs4
Non-ergodic statistics and spectral density estimation for stationary real harmonizable symmetric α-stable processes4
Estimation of the ℓ2-norm and testing in sparse linear regression with unknown variance4
Combinatorial Bernoulli factories4
Dynamic principal component analysis from a global perspective4
PEBBLE: A second order correct bootstrap method in logistic regression4
Minimax optimal goodness-of-fit testing for densities and multinomials under a local differential privacy constraint4
On Lasso estimator for the drift function in diffusion models4
The functional central limit theorem with mean uncertainty under the sublinear expectation4
Erratum: Tree builder random walk: Recurrence, transience and ballisticity4
Universality and least singular values of random matrix products: A simplified approach4
Martingale Wasserstein inequality for probability measures in the convex order4
Asymptotics for isotropic Hilbert-valued spherical random fields4
Minimum spanning trees of random geometric graphs with location dependent weights4
Harmonic analysis meets stationarity: A general framework for series expansions of special Gaussian processes4
Maximal displacement of spectrally negative branching Lévy processes4
Empirical process theory for locally stationary processes4
Sharp detection boundaries on testing dense subhypergraph4
Simultaneous semiparametric inference for single-index models4
On Lasso and Slope drift estimators for Lévy-driven Ornstein–Uhlenbeck processes4
Noise covariance estimation in multi-task high-dimensional linear models4
A diffusion approach to Stein’s method on Riemannian manifolds4
General construction and classes of explicit L1-optimal couplings4
Minimax boundary estimation and estimation with boundary4
Quantifying deviations from separability in space-time functional processes4
Asymptotic normality for a modified quadratic variation of the Hermite process4
Inference in balanced community modulated recursive trees4
On the robustness of the minimim ℓ2 interpolator4
On estimators of the mean of infinite dimensional data in finite populations4
Minimax estimation of low-rank quantum states and their linear functionals4
Sparse signal detection in heteroscedastic Gaussian sequence models: Sharp minimax rates4
Multivariate self-exciting jump processes with applications to financial data3
A trajectorial approach to relative entropy dissipation of McKean–Vlasov diffusions: Gradient flows and HWBI inequalities3
Cramér type moderate deviations for the Grenander estimator near the boundaries of the support3
Gaussian Whittle–Matérn fields on metric graphs3
Covariance operator estimation: Sparsity, lengthscale, and ensemble Kalman filters3
Mean field limits for interacting Hawkes processes in a diffusive regime3
Characteristic kernels on Hilbert spaces, Banach spaces, and on sets of measures3
Hopf type lemmas for subsolutions of integro-differential equations3
Estimation of Wasserstein distances in the Spiked Transport Model3
Approximate double-transform inversion when time is one of the variables3
Local elliptic law3
Extremal clustering and cluster counting for spatial random fields3
Approximation of occupation time functionals3
Tail processes for stable-regenerative multiple-stable model3
Erratum for Prediction and estimation consistency of sparse multi-class penalized optimal scoring3
High dimensional generalized linear models for temporal dependent data3
Varying coefficient regression: Revisit and parametric help3
Drift reduction method for SDEs driven by heterogeneous singular Lévy noise3
Functional diffusion driven stochastic volatility model3
A note on the phase transition for independent alignment percolation3
Uniform error bound for PCA matrix denoising3
Normality of smooth statistics for planar determinantal point processes3
Multidimensional SDE with distributional drift and Lévy noise3
On the separation cut-off phenomenon for Brownian motions on high dimensional spheres3
Statistical deconvolution of the free Fokker-Planck equation at fixed time3
Rudin extension theorems on product spaces, turning bands, and random fields on balls cross time3
Sequential Gaussian approximation for nonstationary time series in high dimensions3
A necessary and sufficient condition for the convergence of the derivative martingale in a branching Lévy process3
Optimal Markovian coupling for finite activity Lévy processes3
A frequency domain bootstrap for general multivariate stationary processes3
Optimal Bayesian estimation of Gaussian mixtures with growing number of components3
Speeding up Monte Carlo integration: Control neighbors for optimal convergence3
Thinned completely random measures with applications in competing risks models3
Functional limit theorems for random walks perturbed by positive alpha-stable jumps3
Cross-validation for change-point regression: Pitfalls and solutions3
Over-parametrized deep neural networks minimizing the empirical risk do not generalize well3
The linear conditional expectation in Hilbert space3
Gibbsianness and non-Gibbsianness for Bernoulli lattice fields under removal of isolated sites3
Signal detection in degree corrected ERGMs3
Asymptotically efficient estimators for stochastic blockmodels: The naive MLE, the rank-constrained MLE, and the spectral estimator3
Adaptive deep learning for nonlinear time series models3
Bernoulli sums and Rényi entropy inequalities3
Towards standard imsets for maximal ancestral graphs3
Empirical approximation to invariant measures for McKean–Vlasov processes: Mean-field interaction vs self-interaction3
Exponential ergodicity for non-dissipative McKean-Vlasov SDEs3
The fewest-big-jumps principle and an application to random graphs3
Detecting approximate replicate components of a high-dimensional random vector with latent structure3
Smoothing distributions for conditional Fleming–Viot and Dawson–Watanabe diffusions3
Subexponential estimates for the first hitting time of a Brownian motion with singular drift3
Stratified incomplete local simplex tests for curvature of nonparametric multiple regression3
Hypothesis testing for functional linear models via bootstrapping3
Asymptotic analysis of statistical estimators related to MultiGraphex processes under misspecification3
Locally polynomial Hilbertian additive regression2
A Ray–Knight representation of up-down Chinese restaurants2
On the characterization of Brownian bridge measure on the pinned path space over a compact Riemannian manifold2
New approach to greedy vector quantization2
SDEs with critical time dependent drifts: Weak solutions2
Some new concentration inequalities for the Itô stochastic integral2
On large deviations and intersection of random interlacements2
Pattern-based tests for two-dimensional copulas2
LAMN property for stable-Lévy SDEs with constant scale coefficient2
Limit theorems for Fréchet mean sets2
Treatment effect estimation with efficient data aggregation2
Penalized spline estimation of principal components for sparse functional data: Rates of convergence2
Maximum likelihood estimation for small noise multi-scale McKean-Vlasov stochastic differential equations2
Semi-parametric goodness-of-fit testing for INAR models2
Kernel two-sample tests for manifold data2
Scaling of piecewise deterministic Monte Carlo for anisotropic targets2
De Finetti’s theorem and related results for infinite weighted exchangeable sequences2
Identifiability in robust estimation of tree structured models2
A note on the empty balls of a critical super-Brownian motion2
Inference for partially observed Riemannian Ornstein–Uhlenbeck diffusions of covariance matrices2
Regularities and exponential ergodicity in entropy for SDEs driven by distribution dependent noise2
Phase transitions of the maximum likelihood estimators in the p-spin Curie-Weiss model2
Consistency of p-norm based tests in high dimensions: Characterization, monotonicity, domination2
Information geometry approach to parameter estimation in hidden Markov model2
Global sensitivity analysis: A novel generation of mighty estimators based on rank statistics2
Generalized Hadamard differentiability of the copula mapping and its applications2
Sequential kernel embedding for mediated and time-varying dose response curves2
Viscosity estimation for 2D pipe flows I. Construction, consistency, asymptotic normality2
Distance correlation test for high-dimensional independence2
A central limit theorem for a sequence of conditionally centered random fields2
Poisson hulls2
Mixing time guarantees for unadjusted Hamiltonian Monte Carlo2
Two-timescale stochastic gradient descent in continuous time with applications to joint online parameter estimation and optimal sensor placement2
Two-sample contamination model test2
Extremal eigenvalues of sample covariance matrices with general population2
Stability of the Poincaré constant2
Strong and weak convergence rates for slow–fast stochastic differential equations driven by α-stable process2
Deep stable neural networks: Large-width asymptotics and convergence rates2
Convergence of empirical optimal transport in unbounded settings2
Stability and sample complexity of divergence regularized optimal transport2
Universal sieve-based strategies for efficient estimation using machine learning tools2
Bayesian uncertainty quantification and structure detection for multiple change points models2
Synchronisation for scalar conservation laws via Dirichlet boundary2
Compound multivariate Hawkes processes: Large deviations and rare event simulation2
Stochastic fractional diffusion equations with Gaussian noise rough in space2
Local exchangeability2
Testing for linearity in boundary regression models with application to maximal life expectancies2
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