On the asymptotic distribution of k-spacings with applications to goodness-of-fit tests
From MaRDI portal
Publication:1135586
DOI10.1214/aos/1176344789zbMath0425.62026OpenAlexW1994427047MaRDI QIDQ1135586
Publication date: 1979
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1176344789
Nonparametric hypothesis testing (62G10) Gaussian processes (60G15) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30)
Related Items (34)
On powerful distributional tests based on sample spacings ⋮ A NEW TEST OF UNIFORMITY BASED ON OVERLAPPING SAMPLE SPACINGS ⋮ Bahadur and Hodges-Lehmann approximate efficiencies of tests based on spacings ⋮ Higher-order expansions and efficiencies of tests based on 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 ⋮ On the behaviour of tests based on sample spacings for moderate samples ⋮ On asymptotic properties of spacings ⋮ Asymptotic results for \(m\)-th exponential spacings ⋮ Some parametric tests based on sample spacings ⋮ On the strong approximation of the non-overlapping \(k\)-spacings process with application to the moment convergence rates ⋮ Bahadur efficiencies of spacings tests for goodness of fit ⋮ Asymptotic efficiencies of spacings tests for goodness of fit ⋮ Divisible statistics ⋮ On approximating the distribution of quadratic forms in uniform and beta order statistics ⋮ Tests based on sum-functions of spacings for uniform random numbers ⋮ Strong and weak approximations of k-spacings processes ⋮ On the hybrids of \(k\)-spacing empirical and partial sum processes ⋮ Lower estimation of the remainder term in the CLT for a sum of the functions of \(k\)-spacings ⋮ A Cramér-type large deviation theorem for sums of functions of higher order non-overlapping spacings ⋮ Strong laws for the maximal k-spacing when k?c log n ⋮ Limit theorems for sums of general functions of m-spacings ⋮ On Greenwood goodness-of-fit test ⋮ Limit Theorems for φ-Divergences Based onk-Spacings ⋮ Gaussian limits for generalized spacings ⋮ A comparison of uniformity tests ⋮ On normal spacings ⋮ Asymptotic properties of the uppermost and the lowest mth exponential spacings based on records ⋮ U-statistic based on overlapping sample spacings ⋮ Some goodness of fit tests based on centre outward spacings ⋮ On some significance tests in cluster analysis
This page was built for publication: On the asymptotic distribution of k-spacings with applications to goodness-of-fit tests