Distributed adaptive Gaussian mean estimation with unknown variance: interactive protocol helps adaptation
From MaRDI portal
Publication:2091825
DOI10.1214/21-AOS2167OpenAlexW4293483641WikidataQ114060476 ScholiaQ114060476MaRDI QIDQ2091825
Publication date: 2 November 2022
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/21-aos2167
minimax lower boundadaptive estimationoptimal rate of convergencecommunication constraintsdistributed learningGaussian mean
Asymptotic properties of parametric estimators (62F12) Parametric inference under constraints (62F30) Statistical aspects of information-theoretic topics (62B10)
Related Items
Cites Work
- Unnamed Item
- Minimax estimation of the mean of a normal distribution when the parameter space is restricted
- Distributed testing and estimation under sparse high dimensional models
- Distributed nonparametric function estimation: optimal rate of convergence and cost of adaptation
- Adaptive distributed methods under communication constraints
- Distributed estimation of principal eigenspaces
- Adaptive confidence balls
- Adapting to Unknown Smoothness via Wavelet Shrinkage
- Communication Complexity
- Geometric Lower Bounds for Distributed Parameter Estimation Under Communication Constraints
- A Scalable Bootstrap for Massive Data
- Communication-Efficient Distributed Statistical Inference
- Communication lower bounds for statistical estimation problems via a distributed data processing inequality
