Some limit theorems for uniform and exponential spacings

DOI10.2307/3314624zbMath0599.62022OpenAlexW2128404007MaRDI QIDQ3734856

Emad-Eldin A. A. Aly

Publication date: 1983

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

Full work available at URL: https://doi.org/10.2307/3314624

zbMATH Keywords

rates of convergenceasymptotic distributionsuniform spacingsspacing statisticsexponential spacings

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30) Nonparametric inference (62G99)

Related Items (4)

On the polygon generated by \(n\) random points on a circle ⋮ On the strong approximation of the non-overlapping \(k\)-spacings process with application to the moment convergence rates ⋮ Strong and weak approximations of k-spacings processes ⋮ On the hybrids of \(k\)-spacing empirical and partial sum processes

Cites Work

• Weak convergence of empirical distribution functions of random variables subject to perturbations and scale factors
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• On the Asymptotic Distribution of the Sum of Powers of Unit Frequency Differences
• On a Class of Problems Related to the Random Division of an Interval
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