On the Le Cam distance between multivariate hypergeometric and multivariate normal experiments

DOI10.1007/s00025-021-01575-3zbMath1486.62052arXiv2107.11565OpenAlexW3183281194MaRDI QIDQ2073927

Frédéric Ouimet

Publication date: 3 February 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.11565

zbMATH Keywords

total variationnormal approximationmultinomial distributionlocal limit theoremsampling without replacementdeficiencyGaussian approximationmultivariate normal distributionlocal approximationasymptotic statisticscomparison of experimentsmultivariate hypergeometric distributionLe Cam distance

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Estimation in multivariate analysis (62H12) Asymptotic distribution theory in statistics (62E20) Theory of statistical experiments (62B15) Probability distributions: general theory (60E05) Limit theorems in probability theory (60F99)

Related Items (2)

Refined normal approximations for the central and noncentral chi-square distributions and some applications ⋮ Refined normal approximations for the Student distribution

Cites Work

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• Large-Deviation Bounds for Sampling without Replacement
• On normal approximations to symmetric hypergeometric laws
• Le cam theory on the comparison of statistical models

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