Multidimensional multiscale scanning in exponential families: limit theory and statistical consequences
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Publication:2196187
DOI10.1214/18-AOS1806zbMath1450.60028arXiv1802.07995WikidataQ115517773 ScholiaQ115517773MaRDI QIDQ2196187
Axel Munk, Claudia König, Frank Werner
Publication date: 28 August 2020
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.07995
exponential familiesinvariance principlefamilywise error rateweak limitscan statisticmultiscale testing
Multivariate distribution of statistics (62H10) Random fields (60G60) Parametric hypothesis testing (62F03) Functional limit theorems; invariance principles (60F17) Paired and multiple comparisons; multiple testing (62J15)
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Tail bounds for empirically standardized sums ⋮ On the asymptotic distribution of the scan statistic for empirical distributions ⋮ Detecting structured signals in Ising models ⋮ Optimal inference with a multidimensional multiscale statistic
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