VOL. 48 · NO. 4 | August 2020
 
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Frontmatter
Ann. Statist. 48 (4), (August 2020)
No abstract available
Ann. Statist. 48 (4), (August 2020)
No abstract available
Articles
Johannes Schmidt-Hieber
Ann. Statist. 48 (4), 1875-1897, (August 2020) DOI: 10.1214/19-AOS1875
KEYWORDS: Nonparametric regression, multilayer neural networks, ReLU activation function, minimax estimation risk, Additive models, Wavelets, 62G08
Behrooz Ghorbani, Song Mei, Theodor Misiakiewicz, Andrea Montanari
Ann. Statist. 48 (4), 1898-1901, (August 2020) DOI: 10.1214/19-AOS1910
No abstract available
Gitta Kutyniok
Ann. Statist. 48 (4), 1902-1905, (August 2020) DOI: 10.1214/19-AOS1911
KEYWORDS: Deep neural networks, generalization, Nonparametric regression, 62G08
Michael Kohler, Sophie Langer
Ann. Statist. 48 (4), 1906-1910, (August 2020) DOI: 10.1214/19-AOS1912
No abstract available
Ohad Shamir
Ann. Statist. 48 (4), 1911-1915, (August 2020) DOI: 10.1214/19-AOS1915
No abstract available
Johannes Schmidt-Hieber
Ann. Statist. 48 (4), 1916-1921, (August 2020) DOI: 10.1214/19-AOS1931
No abstract available
Mayya Zhilova
Ann. Statist. 48 (4), 1922-1939, (August 2020) DOI: 10.1214/18-AOS1802
KEYWORDS: Multivariate Berry–Esseen inequality, dependence on dimension, Efron’s bootstrap, weighted bootstrap, multiplier bootstrap, higher-order inference, smooth function model, likelihood-based confidence sets, 62E17, 62F40, 62F25
John E. Kolassa, Todd A. Kuffner
Ann. Statist. 48 (4), 1940-1958, (August 2020) DOI: 10.1214/19-AOS1871
KEYWORDS: Edgeworth expansion, higher-order asymptotics, Posterior, cumulant expansion, 62E20, 62F15, 62F99
Ching-Kang Ing
Ann. Statist. 48 (4), 1959-1980, (August 2020) DOI: 10.1214/19-AOS1872
KEYWORDS: Best $m$-term approximations, high-dimensional Akaike’s information criterion, orthogonal greedy algorithm, sparsity conditions, time series, 63M30, 62F07, 62F12
Yihong Wu, Pengkun Yang
Ann. Statist. 48 (4), 1981-2007, (August 2020) DOI: 10.1214/19-AOS1873
KEYWORDS: Gaussian mixture, Finite mixture model, Deconvolution, method of moments, Wasserstein distance, semidefinite programming, moment space, Gauss quadrature, Minimax optimality, 62G05, 62C20
Edward H. Kennedy, Sivaraman Balakrishnan, Max G’Sell
Ann. Statist. 48 (4), 2008-2030, (August 2020) DOI: 10.1214/19-AOS1874
KEYWORDS: Causal inference, instrumental variable, noncompliance, observational study, generalizability, 62G05, 62H30
Kevin McGoff, Andrew B. Nobel
Ann. Statist. 48 (4), 2031-2054, (August 2020) DOI: 10.1214/19-AOS1876
KEYWORDS: Emprirical risk minimization, dynamical models, joinings, topological entropy, 62M09
Xin Bing, Florentina Bunea, Yang Ning, Marten Wegkamp
Ann. Statist. 48 (4), 2055-2081, (August 2020) DOI: 10.1214/19-AOS1877
KEYWORDS: Overlapping clustering, latent model, Identification, high-dimensional estimation, minimax estimation, pure variables, group recovery, support recovery, sparse loading matrix, matrix factorization, adaptive estimation, 62H25, 62H30
Yuqi Gu, Gongjun Xu
Ann. Statist. 48 (4), 2082-2107, (August 2020) DOI: 10.1214/19-AOS1878
KEYWORDS: Identifiability, restricted latent class models, cognitive diagnosis, $Q$-matrix, 62E10, 62P15
Veronika Ročková, Stéphanie van der Pas
Ann. Statist. 48 (4), 2108-2131, (August 2020) DOI: 10.1214/19-AOS1879
KEYWORDS: additive regression, asymptotic minimaxity, BART, Bayesian CART, posterior concentration, recursive partitioning, regression trees, 62G08, 62G20
Shanshan Ding, Wei Qian, Lan Wang
Ann. Statist. 48 (4), 2132-2154, (August 2020) DOI: 10.1214/19-AOS1880
KEYWORDS: central subspace, sufficient dimension reduction, Variable selection, Censored data, ultrahigh dimension, nonparametric estimation, 62H20, 62J07, 62N02
Judith Rousseau, Botond Szabo
Ann. Statist. 48 (4), 2155-2179, (August 2020) DOI: 10.1214/19-AOS1881
KEYWORDS: uncertainty quantification, coverage, Posterior contraction rates, Adaptation, Empirical Bayes, hierarchical Bayes, Nonparametric regression, Density estimation, ‎classification‎, sieve prior, 62G20, 62G05, 62G08, 62G07
Fengshuo Zhang, Chao Gao
Ann. Statist. 48 (4), 2180-2207, (August 2020) DOI: 10.1214/19-AOS1883
KEYWORDS: posterior contraction, mean-field variational inference, Density estimation, Gaussian sequence model, piecewise constant model, Empirical Bayes, 62C10, 62F15
Debarghya Ghoshdastidar, Maurilio Gutzeit, Alexandra Carpentier, Ulrike von Luxburg
Ann. Statist. 48 (4), 2208-2229, (August 2020) DOI: 10.1214/19-AOS1884
KEYWORDS: two-sample test, inhomogeneous Erdős–Rényi model, minimax testing, 62H15, 62C20, 05C80, 60B20
Thomas Porter, Michael Stewart
Ann. Statist. 48 (4), 2230-2252, (August 2020) DOI: 10.1214/19-AOS1885
KEYWORDS: higher criticism, sparse normal means, phi-divergence, Multiple comparisons, mixture model, 62F03, 62G30, 62G32, 62F05
Jaouad Mourtada, Stéphane Gaïffas, Erwan Scornet
Ann. Statist. 48 (4), 2253-2276, (August 2020) DOI: 10.1214/19-AOS1886
KEYWORDS: random forests, Minimax rates, nonparametric estimation, supervised learning, 62G05, 62G08, 62C20, 62H30
Bryon Aragam, Chen Dan, Eric P. Xing, Pradeep Ravikumar
Ann. Statist. 48 (4), 2277-2302, (August 2020) DOI: 10.1214/19-AOS1887
KEYWORDS: Mixture models, nonparametric statistics, Identifiability, clustering, Bayes optimal partition, 62G05, 62H30, 62H12
Pramita Bagchi, Holger Dette
Ann. Statist. 48 (4), 2303-2322, (August 2020) DOI: 10.1214/19-AOS1888
KEYWORDS: functional data, minimum distance, separability, space-time processes, surface data structures, 62G10, 62G20
Valentin Patilea, Ingrid Van Keilegom
Ann. Statist. 48 (4), 2323-2346, (August 2020) DOI: 10.1214/19-AOS1889
KEYWORDS: asymptotic normality, bootstrap, kernel smoothing, logistic regression, mixture cure model, Semiparametric model, 62N01, 62N02, 62F12, 62G05
Botond Szabó, Harry van Zanten
Ann. Statist. 48 (4), 2347-2380, (August 2020) DOI: 10.1214/19-AOS1890
KEYWORDS: Distributed computation, Minimax rates, Adaptation, Nonparametric regression, communication constraints, 62G20, 62G08, 62B10
James O. Berger, Dongchu Sun, Chengyuan Song
Ann. Statist. 48 (4), 2381-2403, (August 2020) DOI: 10.1214/19-AOS1891
KEYWORDS: Covariance, objective priors, shrinkage priors, inverse Wishart prior, 62F15, 62C10, 62H10, 62H86
Marco Meyer, Efstathios Paparoditis, Jens-Peter Kreiss
Ann. Statist. 48 (4), 2404-2427, (August 2020) DOI: 10.1214/19-AOS1892
KEYWORDS: bootstrap, periodogram, spectral means, Stationary processes, 62M10, 62M15, 62G09
Yu Liu, Zhao Ren
Ann. Statist. 48 (4), 2428-2454, (August 2020) DOI: 10.1214/19-AOS1893
KEYWORDS: Optimal rate of convergence, precision matrix, local cropping, Cholesky factor, minimax lower bound, thresholding, operator norm, Frobenius norm and adaptive estimation, 62H12, 62F12, 62C20, 62G09
Xiucai Ding, Zhou Zhou
Ann. Statist. 48 (4), 2455-2477, (August 2020) DOI: 10.1214/19-AOS1894
KEYWORDS: nonstationary time series, precision matrices, Cholesky decomposition, sieve estimation, high-dimensional Gaussian approximation, random matrices, white noise and bandedness tests, 62M10, 62G05, 62G10
Ethan Anderes, Jesper Møller, Jakob G. Rasmussen
Ann. Statist. 48 (4), 2478-2503, (August 2020) DOI: 10.1214/19-AOS1896
KEYWORDS: Geodesic metric, linear network, parametric classes of covariance functions, ‎reproducing kernel Hilbert ‎space, resistance metric, restricted covariance function properties, 62M99, 62M30, 60K99
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