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On the asymptotic distributions of high-order spacings statistics

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Publication:3471463
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DOI10.2307/3315481zbMath0695.62125OpenAlexW2143416716MaRDI QIDQ3471463

Richard A. Lockhart, Peter Guttorp

Publication date: 1989

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315481

zbMATH Keywords

uniform distributionGreenwood's statisticMoran's statisticGoodness-of-fit testsAsymptotic critical pointslimiting sum-of-weighted-chi-squared approximationssums of smooth functions of m-spacings


Mathematics Subject Classification ID

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


Related Items

Generalization of the Kolmogorov--Smirnov test, Limit laws for disparities of spacings



Cites Work

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  • On powerful distributional tests based on sample spacings
  • On the asymptotic distribution of quadratic forms in uniform order statistics
  • Asymptotic normality of sum-functions of spacings
  • On the asymptotic distribution of k-spacings with applications to goodness-of-fit tests
  • An optimal statistic based on higher order gaps
  • Further Percentage Points for Greenwood's Statistic
  • On the logarithms of high-order spacings
  • Computing the distribution of quadratic forms in normal variables
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