Bahadur efficiencies of spacings tests for goodness of fit

DOI10.1007/BF00050667zbMath0698.62049OpenAlexW2059972951MaRDI QIDQ912534

Xian Zhou, Sreenivasa Rao Jammalamadaka

Publication date: 1989

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00050667

zbMATH Keywords

goodness of fitDirichlet distributionsexact Bahadur efficiencies of spacing statisticsexplicit forms of the exact slopesfixed number of spacingssum of the logarithms of spacings

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Large deviations (60F10)

Related Items (10)

Bahadur and Hodges-Lehmann approximate efficiencies of tests based on spacings ⋮ Higher-order expansions and efficiencies of tests based on spacings ⋮ On the behaviour of tests based on sample spacings for moderate samples ⋮ The probability of large deviations for the sum functions of spacings ⋮ A Cramér-type large deviation theorem for sums of functions of higher order non-overlapping spacings ⋮ On a locally Bahadur optimal test for no contamination in mixtures from the one-parameter exponential family ⋮ On Greenwood goodness-of-fit test ⋮ Limit Theorems for φ-Divergences Based onk-Spacings ⋮ On the Gini Mean Difference Test for Circular Data ⋮ Large deviations for a class of scale-parameter-free statistics under the gamma distribution

Cites Work

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• Asymptotic efficiencies of spacings tests for goodness of fit
• Efficiencies of chi-square and likelihood ratio goodness-of-fit tests
• On the asymptotic distribution of k-spacings with applications to goodness-of-fit tests
• Asymptotically Optimal Tests for Multinomial Distributions
• Stochastic Comparison of Tests

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