Asymptotic distributions of φ‐divergences of hypothetical and observed frequencies on refined partitions

DOI10.1111/1467-9574.00069zbMath0937.62021OpenAlexW2086742415MaRDI QIDQ4259395

Igor Vajda, M. Luisa Menendez, Leandro Pardo, Domingo Morales

Publication date: 23 August 1999

Published in: Statistica Neerlandica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9574.00069

zbMATH Keywords

goodness-of-fit statisticshistogram estimatesdivergence errorssparse testing schemes

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20)

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Asymptotic distributions for goodness-of-fit statistics in a sequence of multinomial models ⋮ Nonnegative piecewise linear histograms^* ⋮ Double asymptotics for the chi-square statistic ⋮ Asymptotic laws for disparity statistics in product multinomial models. ⋮ Parametric estimation and tests through divergences and the duality technique ⋮ Unnamed Item ⋮ Small-sample comparisons for the Rukhin goodness-of-fit-statistics ⋮ Poisson limit theorems for the Cressie-Read statistics ⋮ Goodness-of-fit tests based on Rao's divergence under sparseness assumptions ⋮ Asymptotic normality for the \(K_{\phi}\)-divergence goodness-of-fit tests

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