Quantile processes with statistical applications: Based on ten lectures given at a National Science Foundation Regional Conference in the Mathematical Sciences at the Institute of Statistics, Texas A & M University, in July 1981
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1. Verfasser: Csörgő, Miklós 1932- (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1983
Schriftenreihe:CBMS-NSF regional conference series in applied mathematics 42
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Beschreibung:Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader
Includes bibliographical references
A preliminary study of quantile processes -- A weak convergence of the normed sample quantile process -- Strong approximations of the normed quantile process -- Two approaches to constructing simultaneous confidence bounds for quantiles -- Weak convergence of quantile processes in weighted sup-norm metrics and further strong approximations -- On Bahadur's Representation of sample quantiles and on Kiefer's Theory of deviations between the sample quantile and empirical processes -- Quadratic forms of the quantile process -- Weighted spacings and testing for composite goodness-of-fit -- Strong approximations of the quantile process of the product-limit estimator -- An invariance principle for nearest-neighbor empirical density functions -- A nearest- neighbor estimator for the score function
Provides a comprehensive theory of the approximations of quantile processes in light of recent advances, as well as some of their statistical applications
Beschreibung:1 Online-Ressource (xiii, 156 Seiten)
ISBN:0898711851
DOI:10.1137/1.9781611970289

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