An optimal statistic based on higher order gaps
From MaRDI portal
Publication:3903878
DOI10.1093/biomet/66.3.619zbMath0455.62036OpenAlexW2017077800MaRDI QIDQ3903878
Publication date: 1979
Published in: Biometrika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/biomet/66.3.619
asymptotic normalityclusteringintegral equationsuniformityspacingstest statisticPitman asymptotic relative efficiencyhigher order gaps
Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30)
Related Items (18)
On powerful distributional tests based on sample spacings ⋮ New Goodness-of-Fit Tests Based on Sample Quantiles ⋮ A NEW TEST OF UNIFORMITY BASED ON OVERLAPPING SAMPLE SPACINGS ⋮ Multivariate goodness-of-fit tests based on statistically equivalent blocks ⋮ On distances and goodness-of-fit tests for detecting multimodal distributions ⋮ On the asymptotic distributions of high-order spacings statistics ⋮ A test of goodness-of -fit based on extreme multinomial cell frequencies ⋮ Maximum entropy principle and statistical inference on condensed ordered data ⋮ Asymptotic results for \(m\)-th exponential spacings ⋮ Ordering distributions on the circle with respect to uniformity ⋮ Divisible statistics ⋮ Multivariate spacings based on data depth. I: Construction of nonparametric multivariate tolerance regions ⋮ On approximating the distribution of quadratic forms in uniform and beta order statistics ⋮ Tests based on sum-functions of spacings for uniform random numbers ⋮ Sum-functions of spacings of increasing order ⋮ Strong Limit Theorems for Sums of Logarithms of High Order Spacings ⋮ Limit Theorems for φ-Divergences Based onk-Spacings ⋮ A comparison of uniformity tests
This page was built for publication: An optimal statistic based on higher order gaps