The sparse Poisson means model

DOI10.1214/15-EJS1066zbMath1337.62088arXiv1505.01247OpenAlexW2963153079MaRDI QIDQ887263

Meng Wang, Ery Arias-Castro

Publication date: 28 October 2015

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01247

zbMATH Keywords

goodness-of-fit testsmultiple testingPearson's chi-squared testBonferroni's methodFisher's methodsparse normal means modelsparse Poisson means modelTukey's higher criticism

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Paired and multiple comparisons; multiple testing (62J15)

Related Items (8)

Higher criticism to compare two large frequency tables, with sensitivity to possible rare and weak differences ⋮ Detection thresholds for the \(\beta\)-model on sparse graphs ⋮ Detectability of nonparametric signals: higher criticism versus likelihood ratio ⋮ Higher Criticism for Discriminating Word-Frequency Tables and Testing Authorship ⋮ Global testing against sparse alternatives under Ising models ⋮ Testing degree corrections in stochastic block models ⋮ Signal detection via Phi-divergences for general mixtures ⋮ Statistical limits of sparse mixture detection

Cites Work

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• Hypothesis testing for high-dimensional sparse binary regression
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• Detection of a sparse submatrix of a high-dimensional noisy matrix
• Optimal Detection of Heterogeneous and Heteroscedastic Mixtures
• Testing Statistical Hypotheses
• Asymptotic normality and efficiency for certain goodness-of-fit tests

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