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

Guido E. Del Pino

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




Related Items (34)

On powerful distributional tests based on sample spacingsA NEW TEST OF UNIFORMITY BASED ON OVERLAPPING SAMPLE SPACINGSBahadur and Hodges-Lehmann approximate efficiencies of tests based on spacingsHigher-order expansions and efficiencies of tests based on spacingsMultivariate goodness-of-fit tests based on statistically equivalent blocksOn distances and goodness-of-fit tests for detecting multimodal distributionsOn the asymptotic distributions of high-order spacings statisticsA test of goodness-of -fit based on extreme multinomial cell frequenciesMaximum entropy principle and statistical inference on condensed ordered dataOn the behaviour of tests based on sample spacings for moderate samplesOn asymptotic properties of spacingsAsymptotic results for \(m\)-th exponential spacingsSome parametric tests based on sample spacingsOn the strong approximation of the non-overlapping \(k\)-spacings process with application to the moment convergence ratesBahadur efficiencies of spacings tests for goodness of fitAsymptotic efficiencies of spacings tests for goodness of fitDivisible statisticsOn approximating the distribution of quadratic forms in uniform and beta order statisticsTests based on sum-functions of spacings for uniform random numbersStrong and weak approximations of k-spacings processesOn the hybrids of \(k\)-spacing empirical and partial sum processesLower estimation of the remainder term in the CLT for a sum of the functions of \(k\)-spacingsA Cramér-type large deviation theorem for sums of functions of higher order non-overlapping spacingsStrong laws for the maximal k-spacing when k?c log nLimit theorems for sums of general functions of m-spacingsOn Greenwood goodness-of-fit testLimit Theorems for φ-Divergences Based onk-SpacingsGaussian limits for generalized spacingsA comparison of uniformity testsOn normal spacingsAsymptotic properties of the uppermost and the lowest mth exponential spacings based on recordsU-statistic based on overlapping sample spacingsSome goodness of fit tests based on centre outward spacingsOn 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