Tests of fit using spacings statistics with estimated parameters

DOI10.1016/0167-7152(92)90109-IzbMath0743.62037OpenAlexW2022415847MaRDI QIDQ1185326

Ram C. Tiwari, Martin T. Wells, Sreenivasa Rao Jammalamadaka

Publication date: 28 June 1992

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(92)90109-i

zbMATH Keywords

contiguous alternativesPitman efficiencylarge sample theorycomposite null hypothesesoptimal goodness of fit testssymmetric functions of sample spacings

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20)

Related Items (2)

Alternatives to maximum likelihood estimation based on spacings and the Kullback-Leibler divergence ⋮ Powerful Parametric Tests Based on Sum-Functions of Spacings

Cites Work

• On powerful distributional tests based on sample spacings
• Weak convergence of empirical distribution functions of random variables subject to perturbations and scale factors
• Unified large-sample theory of general chi-squared statistics for tests of fit
• Weak convergence of the sample distribution function when parameters are estimated
• Approximation Theorems of Mathematical Statistics
• A goodness-of-fit test using Moran's statistic with estimated parameters
• Asymptotic spacings theory with applications to the two-sample problem
• On the logarithms of high-order spacings
• Asymptotic normality and efficiency for certain goodness-of-fit tests
• Unnamed Item

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