A strong limit theorem for the oscillation modulus of the uniform empirical quantile process
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Publication:788388
DOI10.1016/0304-4149(84)90315-6zbMath0531.60035OpenAlexW2040626212MaRDI QIDQ788388
Publication date: 1984
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0304-4149(84)90315-6
uniform empirical processk-spacingsoscillation behavioruniform empirical quantile processuniform order statistics
Related Items (19)
The almost sure behavior of the oscillation modulus of the multivariate empirical process ⋮ A tail empirical process approach to some nonstandard laws of the iterated logarithm ⋮ The almost sure behavior of maximal and minimal multivariate \(k_ n\)- spacings ⋮ Limit laws for the modulus of continuity of the partial sum process and for the Shepp statistic ⋮ Uniform-in-bandwidth functional limit laws ⋮ Strong laws for local quantile processes ⋮ Functional Chung laws for small increments of the empirical process and a lowerbound in the strong invariance principle ⋮ An algorithm for flow time minimization and its asymptotic makespan properties ⋮ Functional laws of the iterated logarithm for large increments of empirical and quantile processes ⋮ Nonstandard strong laws for local quantile processes ⋮ A functional law of the iterated logarithm for the dekkers-einmahl-de haan tail index estimator ⋮ Inner rates of coverage of Strassen type sets by increments of the uniform empirical and quantile processes ⋮ Strong laws for the maximal k-spacing when k?c log n ⋮ Aplicacion de la suavizacion no parametrica del tipo «K-puntos proximos» a modelos de regresion lineal ⋮ The limiting behavior of a modified maximal symmetric \(2s\)-spacing with applications ⋮ Limit theorems for the negative parts of weighted multivariate empirical processes with application ⋮ Asymptotic Properties of Error Density Estimator in Regression Model Under α-Mixing Assumptions ⋮ Functional laws of the iterated logarithm for small increments of empirical processes ⋮ Strong limit theorems for oscillation moduli of the uniform empirical process
Cites Work
- Laws of the iterated logarithm for order statistics of uniform spacings
- The oscillation behavior of empirical processes
- On the increments of Wiener and related processes
- A law of the logarithm for kernel density estimators
- How big are the increments of a Wiener process?
- Limit theorems for the ratio of the empirical distribution function to the true distribution function
- Strong limit theorems for oscillation moduli of the uniform empirical process
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