Minimax Testing of a Simple Hypothesis Against a Weakly Nonparametric Set of Alternatives

DOI10.1137/1133083zbMATH Open0714.62039OpenAlexW2045871023MaRDI QIDQ3200395

Yuri I. Ingster

Publication date: 1988

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1133083

zbMATH Keywords

minimax testingsimple hypothesissignal in Gaussian white noisecomposite alternativeserrors of first and second kindKolmogorov diameters of weakly non-parametric sets of distributionslower maximal probabilitymaximal probabilities

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Non-Markovian processes: hypothesis testing (62M07)

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