A general classification rule for probability measures

DOI10.1214/aos/1176324714zbMath0841.62011OpenAlexW2038847122MaRDI QIDQ1906217

Sanjeev R. Kulkarni, Ofer Zeitouni

Publication date: 18 March 1996

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

Full work available at URL: https://doi.org/10.1214/aos/1176324714

zbMATH Keywords

large deviationsdensity estimationempirical measurecomposite hypothesis testingcompact Polish space

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Parametric hypothesis testing (62F03)

Related Items (9)

On emergence and complexity of ergodic decompositions ⋮ Almost sure classification of densities ⋮ Hypothesis testing for families of ergodic processes ⋮ Deviations bounds and conditional principles for thin sets ⋮ On consistent hypothesis testing ⋮ The Topology of Statistical Verifiability ⋮ Quantitative concentration inequalities on sample path space for mean field interaction ⋮ On some topological properties of stable measures ⋮ Testing independent sparse heterogeneous mixtures

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