On the asymptotic normality of functions of uniform spacings

DOI10.2307/3315539zbMath0724.60022OpenAlexW2065081285MaRDI QIDQ3212052

Jan Beirlant, Paul Janssen, Noël Veraverbeke

Publication date: 1991

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315539

zbMATH Keywords

central limit theoremuniform spacings

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Related Items (6)

On functions bounding the empirical distribution of uniform spacings ⋮ 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 ⋮ Sum-functions of spacings of increasing order ⋮ Maximum spacing estimation for continuous time Markov chains and semi-Markov processes ⋮ The Berry-Esseen theorem for functions of uniform spacings

Cites Work

• Unnamed Item
• Unnamed Item
• On powerful distributional tests based on sample spacings
• On the logarithms of high-order spacings
• A note on limiting distributions for spacings statistics
• The Berry-Esseen theorem for functions of uniform spacings
• Asymptotic Normality of Certain Test Statistics of Exponentiality
• On a Class of Problems Related to the Random Division of an Interval

This page was built for publication: On the asymptotic normality of functions of uniform spacings