Global testing against sparse alternatives under Ising models

DOI10.1214/17-AOS1612zbMath1407.62160arXiv1611.08293WikidataQ129369212 ScholiaQ129369212MaRDI QIDQ1800794

Sumit Mukherjee, Ming Yuan, Rajarshi Mukherjee

Publication date: 24 October 2018

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.08293

zbMATH Keywords

phase transitionsIsing modelssparse signalsdetection boundary

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Minimax procedures in statistical decision theory (62C20) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Applications of statistics to physics (62P35)

Related Items

Fluctuations in mean-field Ising models, Detecting structured signals in Ising models, Inference in Ising models on dense regular graphs, Joint estimation of parameters in Ising model, Exact recovery in the Ising blockmodel, On testing for parameters in Ising models, Combined Hypothesis Testing on Graphs With Applications to Gene Set Enrichment Analysis, Property testing in high-dimensional Ising models, Statistics of the two star ERGM

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