Convergence of Quantile and Spacings Processes with Applications
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Publication:5663216
DOI10.1214/aoms/1177692373zbMath0249.62021OpenAlexW2089567160MaRDI QIDQ5663216
Publication date: 1972
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177692373
Asymptotic distribution theory in statistics (62E20) Convergence of probability measures (60B10) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Nonparametric inference (62G99)
Related Items (18)
Cumulative processes: Linear combinations of order statistics and percentiles ⋮ On functions bounding the empirical distribution of uniform spacings ⋮ The empirical process on Gaussian spherical harmonics. ⋮ Joint approximation of processes based on spacings and order statistics ⋮ Bootstrapping the renewal spacings processes ⋮ On the strong approximation of the non-overlapping \(k\)-spacings process with application to the moment convergence rates ⋮ Non-uniform spacings processes ⋮ Estimation of smooth regression functions in monotone response models ⋮ A General Approach to the Optimality of Minimum Distance Estimators ⋮ Fractional order statistic approximation for nonparametric conditional quantile inference ⋮ Strong and weak approximations of k-spacings processes ⋮ On the hybrids of \(k\)-spacing empirical and partial sum processes ⋮ An invariance principle for linear combinations of order statistics ⋮ Asymptotic joint distribution of sample quantiles and sample mean with applications ⋮ Ordering properties of the TTT-plot of lifetimes with Schur joint densities ⋮ The Bahadur Representation of the TTT-Transform ⋮ Some characterizations of almost sure bounds for weighted multidimensional empirical distributions and a Glivenko-Cantelli theorem for sample quantiles ⋮ Non-parametric applications of an infinite dimensional convolution theorem
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