Goodness-of-fit tests via phi-divergences

DOI10.1214/0009053607000000244zbMath1126.62030arXivmath/0603238OpenAlexW1971265470MaRDI QIDQ2466682

Publication date: 16 January 2008

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

Full work available at URL: https://arxiv.org/abs/math/0603238

zbMATH Keywords

large deviations multiple comparisons confidence bands Poisson boundaries alternatives Hellinger normalized empirical process combining p-values

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Nonparametric tolerance and confidence regions (62G15) Strong limit theorems (60F15)

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Cites Work