The limiting behavior of a modified maximal symmetric \(2s\)-spacing with applications

DOI10.1214/aos/1018031099zbMath0937.62051OpenAlexW1515763615MaRDI QIDQ1807181

Jan W. H. Swanepoel

Publication date: 9 November 1999

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1018031099

zbMATH Keywords

pulsarorder statisticsradiationasymptotic normalitystrong consistency

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30) Limit theorems in probability theory (60F99) Statistical astronomy (85A35)

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Uses Software

• KernSmooth

Cites Work

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• Strong limit theorems for maximal spacings from a general univariate distribution
• A strong limit theorem for the oscillation modulus of the uniform empirical quantile process
• Cube root asymptotics
• On the influence of the extremes of an i.i.d. sequence on the maximal spacings
• Laws of the iterated logarithm for order statistics of uniform spacings
• A log log law for maximal uniform spacings
• Limiting distribution of the maximal spacing when the density function admits a positive minimum
• Strong approximations of the quantile process
• Strong limiting bounds for maximal uniform spacings
• Estimation of the mode
• Remarks on Some Nonparametric Estimates of a Density Function
• Upper bounds for k-th maximal spacings