Distinguishability of Sets of Distributions

DOI10.1214/aoms/1177706531zbMath0135.19404OpenAlexW4252193573MaRDI QIDQ5508033

Wassily Hoeffding, Jacob Wolfowitz

Publication date: 1958

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

Full work available at URL: https://doi.org/10.1214/aoms/1177706531

zbMATH Keywords

mathematical statistics and applications

Related Items (25)

A Statistical Framework for Hypothesis Testing in Real Data Comparison Studies ⋮ On the Total Variation and Hellinger Distance Between Signed Measures; an Application to Product Measures ⋮ Almost sure classification of densities ⋮ Hypothesis testing for families of ergodic processes ⋮ On the robustness of regularized pairwise learning methods based on kernels ⋮ Can the finiteness of a mean be tested? ⋮ Asymptotic equivalence of probability distributions with applications to some problems of asymptotic independence ⋮ Distance and decision rules ⋮ On consistent hypothesis testing ⋮ Testing stationary processes for independence ⋮ Asymptotic independence of distributions of normalized order statistics of the underlying probability measure ⋮ On the Existence of Uniformly Consistent Estimates ⋮ The emperor's new tests. (With comments and a rejoinder). ⋮ A note on L₁consistent estimation ⋮ MAXIMAL UNIFORM CONVERGENCE RATES IN PARAMETRIC ESTIMATION PROBLEMS ⋮ On the consistency of single-stage ranking procedures ⋮ A motivation for \(1/ \sqrt{n}\)-shrinking neighborhoods ⋮ On sequential distinguishability for the exponential family ⋮ On distinguishability of sets of distribution functions and non‐parametric median problem ⋮ Plug-in L₂-upper error bounds in deconvolution, for a mixing density estimate in R^d and for its derivatives, via the L₁-error for the mixture ⋮ On universal algorithms for classifying and predicting stationary processes ⋮ Strongly Consistent Detection for Nonparametric Hypotheses ⋮ Testing independent sparse heterogeneous mixtures ⋮ Information indices: Unification and applications. ⋮ On the existence of consistent estimates and tests

This page was built for publication: Distinguishability of Sets of Distributions