VOL. 31 · NO. 1 | February 2025
 
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Frontmatter
Bernoulli 31 (1), (February 2025)
No abstract available
Articles
Peggy Cénac, Antoine Godichon-Baggioni, Bruno Portier
Bernoulli 31 (1), 1-29, (February 2025) DOI: 10.3150/23-BEJ1637
KEYWORDS: Nonlinear regression model, online estimation, stochastic Gauss-Newton algorithm, stochastic Newton algorithm, stochastic optimization
Moritz Otto
Bernoulli 31 (1), 30-54, (February 2025) DOI: 10.3150/23-BEJ1688
KEYWORDS: Chen-Stein method, Delaunay mosaic, Kendall’s problem, maximum cell, Palm distribution, point process approximation, Poisson process, stopping set, total variation distance, Voronoi mosaic
Iain M. Johnstone, Yegor Klochkov, Alexei Onatski, Damian Pavlyshyn
Bernoulli 31 (1), 55-80, (February 2025) DOI: 10.3150/23-BEJ1703
KEYWORDS: CLT, log determinant, edge of the semi-circle law, Wigner matrix
Hao Xu, Haoran Yang, Qiang Zeng
Bernoulli 31 (1), 81-105, (February 2025) DOI: 10.3150/24-BEJ1719
KEYWORDS: critical points, Gaussian random fields, GOE, GOI, isotropic increments, Kac–Rice formula
Hongjian Shi, Mathias Drton, Marc Hallin, Fang Han
Bernoulli 31 (1), 106-129, (February 2025) DOI: 10.3150/24-BEJ1721
KEYWORDS: center-outward ranks and signs, elliptical Chernoff–Savage property, multivariate independence test, Pitman asymptotic relative efficiency
Xiequan Fan, Qi-Man Shao
Bernoulli 31 (1), 130-161, (February 2025) DOI: 10.3150/24-BEJ1722
KEYWORDS: Branching process in a random environment, Cramér’s moderate deviations, Martingales, self-normalized sequences, Student’s statistic
Ly Viet Hoang, Evgeny Spodarev
Bernoulli 31 (1), 162-186, (February 2025) DOI: 10.3150/24-BEJ1723
KEYWORDS: Fourier analysis, frequency estimation, harmonizable process, non-ergodic process, non-ergodic statistics, periodogram, spectral density estimation, Stable process, stationary process
Cristina Butucea, Jean-François Delmas, Anne Dutfoy, Clément Hardy
Bernoulli 31 (1), 187-212, (February 2025) DOI: 10.3150/24-BEJ1724
KEYWORDS: Continuous dictionary, group-nonlinear-lasso, interpolating certificates, mixture model, multi-task learning, non-linear regression model, off-the-grid methods, simultaneous recovery, sparse spike deconvolution
Erhan Bayraktar, Stephan Eckstein, Xin Zhang
Bernoulli 31 (1), 213-239, (February 2025) DOI: 10.3150/24-BEJ1725
KEYWORDS: Entropic optimal transport, f-divergence, intrinsic dimension, regularization
Daisuke Kurisu, Riku Fukami, Yuta Koike
Bernoulli 31 (1), 240-270, (February 2025) DOI: 10.3150/24-BEJ1726
KEYWORDS: adaptive estimation, deep neural network, Minimax optimality, nonlinear time series
Yiming Xing, Georgios Fellouris
Bernoulli 31 (1), 271-294, (February 2025) DOI: 10.3150/24-BEJ1727
KEYWORDS: asymptotic optimality, asynchronous decisions, parametric composite hypotheses, prior information, sequential multiple testing
Angelo Efoévi Koudou, Jacek Wesołowski
Bernoulli 31 (1), 295-311, (February 2025) DOI: 10.3150/24-BEJ1728
KEYWORDS: independence preserving property, Kummer distributions, Matsumoto-Yor property
François Portier
Bernoulli 31 (1), 312-332, (February 2025) DOI: 10.3150/24-BEJ1729
KEYWORDS: concentration inequality, Empirical process theory, nearest neighbor algorithm, weak convergence
Yuga Iguchi, Alexandros Beskos, Matthew Graham
Bernoulli 31 (1), 333-358, (February 2025) DOI: 10.3150/24-BEJ1730
KEYWORDS: CLT, Data augmentation, Hypo-elliptic diffusion, small time density expansion, Stochastic differential equation
Günter Last, Ilya Molchanov
Bernoulli 31 (1), 359-387, (February 2025) DOI: 10.3150/24-BEJ1731
KEYWORDS: Convex hull, hull operator, Kabanov–Skorohod integral, Poisson process, symmetric statistics
Florian Pein, Rajen D. Shah
Bernoulli 31 (1), 388-411, (February 2025) DOI: 10.3150/24-BEJ1732
KEYWORDS: change-point regression, cross-validation, segment neighbourhood, sample-splitting, selection consistency, tuning parameter selection
Philip A. Ernst, L.C.G. Rogers, Quan Zhou
Bernoulli 31 (1), 412-431, (February 2025) DOI: 10.3150/24-BEJ1733
KEYWORDS: Nonsense correlation, Ornstein-Uhlenbeck processes, Volatile correlation, Wiener processes
Moïse Blanchard, Adam Quinn Jaffe
Bernoulli 31 (1), 432-456, (February 2025) DOI: 10.3150/24-BEJ1734
KEYWORDS: Computational phylogenetics, Fermat-Weber point, Fréchet mean, Hausdorff metric, medoids, non-Euclidean statistics, random sets, stochastic optimization
Anna Ben-Hamou, Vasiliki Velona
Bernoulli 31 (1), 457-483, (February 2025) DOI: 10.3150/24-BEJ1735
KEYWORDS: clustering, combinatorial statistics, Community detection, community modulated recursive trees, minimum fair bisection, parameter testing, Random recursive trees, Wiener index
Elise Bayraktar, Emmanuelle Clément
Bernoulli 31 (1), 484-508, (February 2025) DOI: 10.3150/24-BEJ1736
KEYWORDS: Cox-Ingersoll-Ross process, Estimating functions, Lévy process, Parametric inference, Stable process, Stochastic differential equation
Hector McKimm, Andi Wang, Murray Pollock, Christian Robert, Gareth Roberts
Bernoulli 31 (1), 509-536, (February 2025) DOI: 10.3150/24-BEJ1737
KEYWORDS: adaptive algorithm, Markov process, MCMC, normalizing constant, regeneration distribution, Restore sampler, sampling, simulation
Johannes Heiny, Carolin Kleemann
Bernoulli 31 (1), 537-560, (February 2025) DOI: 10.3150/24-BEJ1738
KEYWORDS: Extreme value theory, Gumbel distribution, high dimension, Independence test, maximum under dependence, p-norms
Ana Djurdjevac, Tommaso Rosati
Bernoulli 31 (1), 561-583, (February 2025) DOI: 10.3150/24-BEJ1739
KEYWORDS: Burgers, Mixing, Scalar conservation laws, synchronisation
Weichi Wu, Sofia Olhede, Patrick Wolfe
Bernoulli 31 (1), 584-608, (February 2025) DOI: 10.3150/24-BEJ1740 Open Access
KEYWORDS: Exchangeable arrays, nonlinear stochastic processes, statistical network analysis, Stochastic block model
Kees van Schaik, Alexander R. Watson, Xin Xu
Bernoulli 31 (1), 609-629, (February 2025) DOI: 10.3150/24-BEJ1741
KEYWORDS: Lamperti transformation, Lévy process, Markov additive process, omega-clock, Optimal stopping, Self-similar Markov process, Stable process
Haojie Hou, Yiyang Jiang, Yan-Xia Ren, Renming Song
Bernoulli 31 (1), 630-648, (February 2025) DOI: 10.3150/24-BEJ1742
KEYWORDS: branching Lévy process, Critical branching process, Feynman-Kac representation
Lingxuan Shao, Fang Yao
Bernoulli 31 (1), 649-670, (February 2025) DOI: 10.3150/24-BEJ1743
KEYWORDS: Eigenvalue switch, discrete data, one-step unrolling, orthogonal matrix group, smoothing spline
Zhidong Bai, Jiang Hu, Jack W. Silverstein, Huanchao Zhou
Bernoulli 31 (1), 671-691, (February 2025) DOI: 10.3150/24-BEJ1744
KEYWORDS: Information-plus-noise matrix, Limiting spectral distribution, Random matrix, Stieltjes transform
Nguyen Tien Dung
Bernoulli 31 (1), 692-708, (February 2025) DOI: 10.3150/24-BEJ1746
KEYWORDS: concentration inequality, Itô stochastic integral, Malliavin calculus
Anne Leucht, Michael H. Neumann
Bernoulli 31 (1), 709-730, (February 2025) DOI: 10.3150/24-BEJ1747
KEYWORDS: absolute regularity, count process, Log-linear model, Mixing, nonstationary process
H. Gruber, M. Jirak
Bernoulli 31 (1), 731-758, (February 2025) DOI: 10.3150/24-BEJ1748
KEYWORDS: Irregular models, local stationarity, Nonparametric autoregression
Yue Li, Shijie Shang, Tusheng Zhang
Bernoulli 31 (1), 759-782, (February 2025) DOI: 10.3150/24-BEJ1749
KEYWORDS: concentration of measure, moment estimates for stochastic convolutions, reaction diffusion equations, Stochastic partial differential equations, transportation cost inequalities
Jie Xu, Qiao Zheng, Jianyong Mu
Bernoulli 31 (1), 783-815, (February 2025) DOI: 10.3150/24-BEJ1750
KEYWORDS: McKean-Vlasov equation, multi-scale system, Parameter estimation, small noise
Andrii Ilienko, Ilya Molchanov, Riccardo Turin
Bernoulli 31 (1), 816-841, (February 2025) DOI: 10.3150/24-BEJ1751
KEYWORDS: Convex floating body, empirical measure, halfspace depth, Law of the iterated logarithm, Strong law of large numbers
Backmatter
Bernoulli 31 (1), (February 2025)
No abstract available
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