Empirical Processes with Applications to StatisticsSIAM, 1 janv. 2009 - 997 pages Originally published in 1986, this valuable reference provides a detailed treatment of limit theorems and inequalities for empirical processes of real-valued random variables; applications of the theory to censored data, spacings, rank statistics, quantiles, and many functionals of empirical processes, including a treatment of bootstrap methods; and a summary of inequalities that are useful for proving limit theorems. At the end of the Errata section, the authors have supplied references to solutions for 11 of the 19 Open Questions provided in the book's original edition. Audience: researchers in statistical theory, probability theory, biostatistics, econometrics, and computer science. |
Table des matières
CL59_ch16 | 597 |
CL59_ch17 | 621 |
CL59_ch18 | 637 |
CL59_ch19 | 660 |
CL59_ch20 | 695 |
CL59_ch21 | 720 |
CL59_ch22 | 743 |
CL59_ch23 | 763 |
CL59_ch9 | 343 |
CL59_ch10 | 404 |
CL59_ch11 | 438 |
CL59_ch12 | 491 |
CL59_ch13 | 504 |
CL59_ch14 | 531 |
CL59_ch15 | 584 |
CL59_ch24 | 781 |
CL59_ch25 | 796 |
CL59_ch26 | 826 |
CL59_appendixa | 842 |
CL59_appendixb | 884 |
CL59_backmatter | 901 |
Autres éditions - Tout afficher
Empirical Processes with Applications to Statistics Galen R. Shorack,Jon A. Wellner Aperçu limité - 2009 |
Empirical Processes with Applications to Statistics Galen R. Shorack,Jon A. Wellner Affichage d'extraits - 1986 |
Expressions et termes fréquents
a₁ absolutely continuous analogous apply asymptotic b₁ b₂ Binomial Brownian bridge Brownian motion c₁ Chapter consider continuous Corollary covariance function Csörgő d₁ define denote density df F df's empirical df empirical distribution function empirical process estimate Exercise exponential bound finite fixed follows gives Glivenko-Cantelli theorem holds Hungarian construction implies independent inequality Inequality integrable Kiefer Lemma Let X₁ lim sup limit theorems linear log 1/a log₂ M₁ martingale Math metric modulus of continuity normal Note order statistics partial-sum process Poisson process Prob probability probability space proof of Theorem Proposition prove quantile process random variables Recall replace rv's S₁ sample satisfies Section sequence Shorack space special construction submartingale Suppose symmetric T₁ t₂ theorem Theorem uniform empirical uniformly Verify Wahrsch weak convergence Wellner Y₁