Distributed statistical estimation and rates of convergence in normal approximation
From MaRDI portal
Publication:2283576
DOI10.1214/19-EJS1647zbMath1434.62046arXiv1704.02658MaRDI QIDQ2283576
Publication date: 3 January 2020
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.02658
Density estimation (62G07) Nonparametric robustness (62G35) Functional limit theorems; invariance principles (60F17)
Related Items (14)
Robust sub-Gaussian estimation of a mean vector in nearly linear time ⋮ A review of distributed statistical inference ⋮ Byzantine-robust distributed sparse learning for \(M\)-estimation ⋮ Large-Scale Inference of Multivariate Regression for Heavy-Tailed and Asymmetric Data ⋮ Individual Data Protected Integrative Regression Analysis of High-Dimensional Heterogeneous Data ⋮ Distributed Bayesian inference in massive spatial data ⋮ Robust distributed multicategory angle-based classification for massive data ⋮ Unnamed Item ⋮ Robust machine learning by median-of-means: theory and practice ⋮ Nonparametric distributed learning under general designs ⋮ Robust classification via MOM minimization ⋮ LIC criterion for optimal subset selection in distributed interval estimation ⋮ Unnamed Item ⋮ Robust and efficient mean estimation: an approach based on the properties of self-normalized sums
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geometric median and robust estimation in Banach spaces
- On statistics, computation and scalability
- Sub-Gaussian mean estimators
- On the estimation of the mean of a random vector
- Random generation of combinatorial structures from a uniform distribution
- Sub-Gaussian estimators of the mean of a random vector
- The Bahadur-Kiefer representation for \(U\)-quantiles
- Challenging the empirical mean and empirical variance: a deviation study
- Distributed estimation of principal eigenspaces
- Near-optimal mean estimators with respect to general norms
- Approximation Theorems of Mathematical Statistics
- On the Medians of Gamma Distributions and an Equation of Ramanujan
- A Berry–Esséen Bound for M‐estimators
- On the optimality of averaging in distributed statistical learning
- Robust and Scalable Bayes via a Median of Subset Posterior Measures
- Learning from untrusted data
- Probability Inequalities for Sums of Bounded Random Variables
- Bandits With Heavy Tail
- Simple, scalable and accurate posterior interval estimation
- Robust Estimation of a Location Parameter
- On Some Robust Estimates of Location
- Estimates of Location Based on Rank Tests
- Note on the median of a multivariate distribution
- A Class of Statistics with Asymptotically Normal Distribution
This page was built for publication: Distributed statistical estimation and rates of convergence in normal approximation