Asymptotic properties of goodness of fit tests based on higher order overlapping spacings

2025/08/26 by Mirakhmedov, Sherzod M.
#62G30 #FOS: Mathematics #G.3 #Statistics Theory (math.ST) #primary 62G10 #secondary 62R2

paper · doi:10.48550/arxiv.2508.18965

Abstract

The paper is devoted to tests for uniformity based on sum-functions of overlapping spacings, where the order of spacings can diverge to infinity as the sample size increases. In particular, it is shown that the asymptotic local power of these tests depends significantly on the asymptotic properties of the counterpart statistics based on disjoint spacings.

Related

• Asymptotic Efficiency of Goodness-of-fit Tests Based on Too-Lin\n Characterization
• A goodness-of-fit test based on a recursive product of spacings
• On the consistency of the spacings test for multivariate uniformity
• Goodness of fit test under progressive Type-I interval censoring
• Computing the asymptotic power of a Euclidean-distance test for goodness-of-fit