Edit Profile (opens in new tab) Shorack, Galen R. Compute Distance To: Compute Author ID: shorack.galen-r Published as: Shorack, Galen R.; Shorack, G. R.; Shorack, Galen more...less Documents Indexed: 44 Publications since 1967, including 4 Books Co-Authors: 13 Co-Authors with 19 Joint Publications 374 Co-Co-Authors all top 5 Co-Authors 25 single-authored 5 Mason, David M. 5 Wellner, Jon August 3 Pyke, Ronald 2 Ruymgaart, Frits H. 2 van Zwet, Willem Rutger 1 Beirlant, Jan 1 Deheuvels, Paul 1 Groeneboom, Piet 1 Jones, Robert A. 1 Le, Nhu D. 1 Ossiander, Mina E. 1 Scholz, Friedrich-Wilhelm 1 Smythe, Robert T. all top 5 Serials 7 The Annals of Probability 7 Annals of Mathematical Statistics 4 Statistica Neerlandica 3 The Annals of Statistics 3 Journal of Statistical Planning and Inference 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Springer Texts in Statistics 1 The Canadian Journal of Statistics 1 The Australian Journal of Statistics 1 Journal of the American Statistical Association 1 Proceedings of the American Mathematical Society 1 Technometrics 1 Communications in Statistics. Theory and Methods 1 Journal of Statistical Computation and Simulation 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Nonparametric Statistics 1 Classics in Applied Mathematics 1 Wiley Series in Probability and Mathematical Statistics Fields 31 Statistics (62-XX) 26 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 1,582 times in 1,409 Documents Cited by ▼ Year ▼ Empirical processes with applications to statistics. Zbl 1170.62365Shorack, Galen R.; Wellner, Jon A. 946 1986 Probability for statisticians. Zbl 0951.62005Shorack, Galen R. 77 2000 Empirical processes with applications to statistics. Reprint of the 1986 original ed. Zbl 1171.62057Shorack, Galen R.; Wellner, Jon A. 61 2009 Functions of order statistics. Zbl 0239.62037Shorack, Galen R. 54 1972 Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems. Zbl 0159.48004Pyke, R.; Shorack, G. R. 54 1968 Testing against ordered alternatives in model I analysis of variance; normal theory and nonparametric. Zbl 0157.48304Shorack, G. R. 46 1967 Asymptotic normality of nonparametric tests for independence. Zbl 0254.62025Ruymgaart, F. H.; Shorack, G. R.; van Zwet, W. R. 32 1972 Strong limit theorems for oscillation moduli of the uniform empirical process. Zbl 0506.60025Mason, David M.; Shorack, Galen R.; Wellner, Jon A. 31 1983 Bootstrapping robust regression. Zbl 0523.62033Shorack, Galen R. 23 1982 Some results on the influence of extremes on the bootstrap. Zbl 0774.62042Deheuvels, Paul; Mason, David M.; Shorack, Galen R. 21 1993 Large deviations of goodness of fit statistics and linear combinations of order statistics. Zbl 0473.60035Groeneboom, Piet; Shorack, Galen R. 18 1981 Convergence of quantile and spacings processes with applications. Zbl 0249.62021Shorack, Galen R. 16 1972 Inequalities for\(\max| S_k| /b_k\) where \(k\in N^r\). Zbl 0327.60036Shorack, Galen R.; Smythe, R. T. 16 1976 Asymptotic normality of linear combinations of functions of order statistics. Zbl 0188.51002Shorack, G. R. 16 1969 Necessary and sufficient conditions for asymptotic normality of \(L\)- statistics. Zbl 0765.62024Mason, David M.; Shorack, Galen R. 15 1992 Linear bounds on the empirical distribution function. Zbl 0376.60034Shorack, Galen R.; Wellner, Jon A. 15 1978 The weighted empirical process of row independent random variables with arbitrary distribution functions. Zbl 0436.60009Shorack, Galen R. 14 1979 Random means. Zbl 0286.62029Shorack, Galen R. 14 1974 Limit theorems and inequalities for the uniform empirical process indexed by intervals. Zbl 0497.60026Shorack, Galen R.; Wellner, Jon A. 12 1982 Kiefer’s theorem via the Hungarian construction. Zbl 0501.60038Shorack, Galen R. 12 1982 Extension of the Darling and Erdős theorem on the maximum of normalized sums. Zbl 0421.60046Shorack, Galen R. 11 1979 The best test of exponentiality against gamma alternatives. Zbl 0235.62007Shorack, Galen R. 10 1972 Necessary and sufficient conditions for asymptotic normality of trimmed L-statistics. Zbl 0703.62024Mason, David M.; Shorack, Galen R. 10 1990 Convergence of reduced empirical and quantile processes with application to functions of order statistics in the non-I.I.D. case. Zbl 0255.62044Shorack, Galen R. 10 1973 Empirical and rank processes of observations and residuals. Zbl 0566.62013Shorack, Galen R. 7 1984 Embedding the finite sampling process at a rate. Zbl 0731.60026Shorack, Galen R. 6 1991 Robust studentization of location estimates. Zbl 0363.62038Shorack, Galen R. 5 1976 Weak convergence of empirical and quantile processes in sup-norm metrics via KMT-constructions. Zbl 0405.60006Shorack, Galen R. 5 1979 A simple proof of a rate of embedding for the partial sum process. Zbl 0726.60079Shorack, G. R. 4 1990 Some law of the iterated logarithm type results for the empirical process. Zbl 0423.60029Shorack, Galen R. 4 1980 Probability for statisticians. 2nd edition. Zbl 1377.62009Shorack, Galen R. 4 2017 The appropriate reduction of the weighted empirical process. Zbl 0658.60012Shorack, G. R.; Beirlant, Jan 3 1986 Tolerance bounds for log gamma regression models. Zbl 0573.62093Jones, Robert A.; Scholz, F. W.; Ossiander, Mina; Shorack, Galen R. 3 1985 Correction to ’Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems’. Zbl 0318.62017Pyke, Ronald; Shorack, Galen 2 1975 Linear rank statistics, finite sampling, permutation tests and Winsorizing. Zbl 0862.62017Shorack, Galen R. 2 1996 Inequalities for quantile functions with a uniform studentized CLT that includes trimming. Zbl 0892.60026Shorack, Galen R. 1 1997 Uniform CLT, WLLN, LIL and bootstrapping in a data analytic approach to trimmed \(L\)-statistics. Zbl 0937.62593Shorack, Galen R. 1 1997 Limit results for linear combinations. Zbl 0724.60020Shorack, Galen R. 1 1991 Probability for statisticians. 2nd edition. Zbl 1377.62009Shorack, Galen R. 4 2017 Empirical processes with applications to statistics. Reprint of the 1986 original ed. Zbl 1171.62057Shorack, Galen R.; Wellner, Jon A. 61 2009 Probability for statisticians. Zbl 0951.62005Shorack, Galen R. 77 2000 Inequalities for quantile functions with a uniform studentized CLT that includes trimming. Zbl 0892.60026Shorack, Galen R. 1 1997 Uniform CLT, WLLN, LIL and bootstrapping in a data analytic approach to trimmed \(L\)-statistics. Zbl 0937.62593Shorack, Galen R. 1 1997 Linear rank statistics, finite sampling, permutation tests and Winsorizing. Zbl 0862.62017Shorack, Galen R. 2 1996 Some results on the influence of extremes on the bootstrap. Zbl 0774.62042Deheuvels, Paul; Mason, David M.; Shorack, Galen R. 21 1993 Necessary and sufficient conditions for asymptotic normality of \(L\)- statistics. Zbl 0765.62024Mason, David M.; Shorack, Galen R. 15 1992 Embedding the finite sampling process at a rate. Zbl 0731.60026Shorack, Galen R. 6 1991 Limit results for linear combinations. Zbl 0724.60020Shorack, Galen R. 1 1991 Necessary and sufficient conditions for asymptotic normality of trimmed L-statistics. Zbl 0703.62024Mason, David M.; Shorack, Galen R. 10 1990 A simple proof of a rate of embedding for the partial sum process. Zbl 0726.60079Shorack, G. R. 4 1990 Empirical processes with applications to statistics. Zbl 1170.62365Shorack, Galen R.; Wellner, Jon A. 946 1986 The appropriate reduction of the weighted empirical process. Zbl 0658.60012Shorack, G. R.; Beirlant, Jan 3 1986 Tolerance bounds for log gamma regression models. Zbl 0573.62093Jones, Robert A.; Scholz, F. W.; Ossiander, Mina; Shorack, Galen R. 3 1985 Empirical and rank processes of observations and residuals. Zbl 0566.62013Shorack, Galen R. 7 1984 Strong limit theorems for oscillation moduli of the uniform empirical process. Zbl 0506.60025Mason, David M.; Shorack, Galen R.; Wellner, Jon A. 31 1983 Bootstrapping robust regression. Zbl 0523.62033Shorack, Galen R. 23 1982 Limit theorems and inequalities for the uniform empirical process indexed by intervals. Zbl 0497.60026Shorack, Galen R.; Wellner, Jon A. 12 1982 Kiefer’s theorem via the Hungarian construction. Zbl 0501.60038Shorack, Galen R. 12 1982 Large deviations of goodness of fit statistics and linear combinations of order statistics. Zbl 0473.60035Groeneboom, Piet; Shorack, Galen R. 18 1981 Some law of the iterated logarithm type results for the empirical process. Zbl 0423.60029Shorack, Galen R. 4 1980 The weighted empirical process of row independent random variables with arbitrary distribution functions. Zbl 0436.60009Shorack, Galen R. 14 1979 Extension of the Darling and Erdős theorem on the maximum of normalized sums. Zbl 0421.60046Shorack, Galen R. 11 1979 Weak convergence of empirical and quantile processes in sup-norm metrics via KMT-constructions. Zbl 0405.60006Shorack, Galen R. 5 1979 Linear bounds on the empirical distribution function. Zbl 0376.60034Shorack, Galen R.; Wellner, Jon A. 15 1978 Inequalities for\(\max| S_k| /b_k\) where \(k\in N^r\). Zbl 0327.60036Shorack, Galen R.; Smythe, R. T. 16 1976 Robust studentization of location estimates. Zbl 0363.62038Shorack, Galen R. 5 1976 Correction to ’Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems’. Zbl 0318.62017Pyke, Ronald; Shorack, Galen 2 1975 Random means. Zbl 0286.62029Shorack, Galen R. 14 1974 Convergence of reduced empirical and quantile processes with application to functions of order statistics in the non-I.I.D. case. Zbl 0255.62044Shorack, Galen R. 10 1973 Functions of order statistics. Zbl 0239.62037Shorack, Galen R. 54 1972 Asymptotic normality of nonparametric tests for independence. Zbl 0254.62025Ruymgaart, F. H.; Shorack, G. R.; van Zwet, W. R. 32 1972 Convergence of quantile and spacings processes with applications. Zbl 0249.62021Shorack, Galen R. 16 1972 The best test of exponentiality against gamma alternatives. Zbl 0235.62007Shorack, Galen R. 10 1972 Asymptotic normality of linear combinations of functions of order statistics. Zbl 0188.51002Shorack, G. R. 16 1969 Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems. Zbl 0159.48004Pyke, R.; Shorack, G. R. 54 1968 Testing against ordered alternatives in model I analysis of variance; normal theory and nonparametric. Zbl 0157.48304Shorack, G. R. 46 1967 all cited Publications top 5 cited Publications all top 5 Cited by 1,517 Authors 25 Horváth, Lajos 25 Mason, David M. 25 Wellner, Jon August 24 Deheuvels, Paul 23 Einmahl, John H. J. 20 Berkes, István 20 Zitikis, Ričardas 17 Csörgő, Miklós 15 Bouzebda, Salim 13 Puri, Madan Lal 12 Janssen, Arnold 12 Steland, Ansgar 11 Aistleitner, Christoph 11 Beirlant, Jan 11 Henze, Norbert 11 Lee, Sangyeol 11 Peng, Liang 11 Ruymgaart, Frits H. 11 Sun, Liuquan 10 Shi, Zhan 10 Shorack, Galen R. 10 Stute, Winfried 10 Zähle, Henryk 9 Guillou, Armelle 9 Hall, Peter Gavin 8 Aly, Emad-Eldin A. A. 8 Giné-Masdéu, Evarist 8 Nikitin, Yakov Yu. 7 Alvarez-Andrade, Sergio 7 Barbe, Philippe 7 de Haan, Laurens 7 Dette, Holger 7 Diebolt, Jean 7 Drees, Holger 7 El Barmi, Hammou 7 Ferger, Dietmar 7 Finner, Helmut 7 Grane, Aurea 7 Jin, Jiashun 7 Ledwina, Teresa 7 Quessy, Jean-François 7 Shao, Qi-Man 6 Baringhaus, Ludwig 6 Beutner, Eric 6 Genest, Christian 6 Gribkova, Nadezhda Viktorovna 6 Grübel, Rudolf 6 Hallin, Marc 6 Kokoszka, Piotr S. 6 Neumeyer, Natalie 6 Sen, Pranab Kumar 6 Szyszkowicz, Barbara 6 Van Keilegom, Ingrid 6 Wang, Qihua 5 Akritas, Michael G. 5 Csáki, Endre 5 Davydov, Youri 5 de Uña-Álvarez, Jacobo 5 del Barrio, Eustasio 5 Dikta, Gerhard 5 Donoho, David Leigh 5 Dümbgen, Lutz 5 Fortiana, Josep 5 Hjort, Nils Lid 5 Lahiri, Soumendra Nath 5 Laib, Naâmane 5 Matrán, Carlos 5 Munk, Axel 5 Neuhaus, Georg 5 Ngatchou Wandji, Joseph 5 Pesarin, Fortunato 5 Ren, Jian-Jian 5 Samworth, Richard J. 5 Schauer, Johannes 5 Seri, Raffaello 5 Steinebach, Josef G. 5 van Zuijlen, Martien C. A. 5 Vandekerkhove, Pierre 5 Veraverbeke, Noël 5 Wright, F. T. 5 Yor, Marc 4 Ahmad, Ibrahim A. 4 Aki, Sigeo 4 Balakrishnan, Narayanaswamy 4 Bazyari, Abouzar 4 Bentkus, Vidmants-Kastytis 4 Berthet, Philippe 4 Bordes, Laurent 4 Delgado, Miguel Ángel 4 Devroye, Luc P. J. A. 4 Dickhaus, Thorsten 4 Dindar, Zacharie 4 Einmahl, Uwe 4 Fakoor, Vahid 4 Gontscharuk, Veronika 4 Groeneboom, Piet 4 Harel, Michel 4 Huang, Meiling 4 Jiménez-Gamero, María Dolores 4 Jirak, Moritz ...and 1,417 more Authors all top 5 Cited in 172 Serials 149 Journal of Statistical Planning and Inference 114 Statistics & Probability Letters 100 Communications in Statistics. Theory and Methods 98 The Annals of Statistics 72 Journal of Multivariate Analysis 54 Stochastic Processes and their Applications 54 Journal of Nonparametric Statistics 46 Bernoulli 34 Annals of the Institute of Statistical Mathematics 33 Journal of Econometrics 27 Electronic Journal of Statistics 26 Metrika 26 Computational Statistics and Data Analysis 25 The Annals of Probability 21 Scandinavian Journal of Statistics 20 Probability Theory and Related Fields 19 Communications in Statistics. Simulation and Computation 19 Mathematical Methods of Statistics 18 Statistics 16 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 15 The Canadian Journal of Statistics 14 Journal of Theoretical Probability 13 Test 12 Insurance Mathematics & Economics 11 The Annals of Applied Probability 11 Journal of Mathematical Sciences (New York) 9 Lithuanian Mathematical Journal 9 Statistica Neerlandica 9 Journal of Statistical Computation and Simulation 9 Statistical Papers 7 Kybernetika 7 Sequential Analysis 7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 7 Sankhyā. Series A 6 Journal of Applied Probability 6 Transactions of the American Mathematical Society 6 Econometric Theory 6 Statistical Methodology 5 Advances in Applied Probability 5 Journal of Mathematical Analysis and Applications 5 Journal of Time Series Analysis 5 Stochastic Analysis and Applications 5 Science in China. Series A 5 Lifetime Data Analysis 5 Extremes 5 Acta Mathematica Sinica. English Series 4 Psychometrika 4 Biometrical Journal 4 Journal of Computational and Applied Mathematics 4 Proceedings of the American Mathematical Society 4 Acta Mathematica Hungarica 4 Acta Mathematicae Applicatae Sinica. English Series 4 Statistical Science 4 Econometric Reviews 4 European Journal of Operational Research 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Journal of the Royal Statistical Society. Series B. Statistical Methodology 4 Journal of Applied Statistics 4 Scandinavian Actuarial Journal 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of the Korean Statistical Society 4 Science China. Mathematics 4 Statistics and Computing 4 Dependence Modeling 3 Israel Journal of Mathematics 3 Mathematics of Computation 3 Journal of the American Statistical Association 3 Monatshefte für Mathematik 3 Scandinavian Actuarial Journal 3 Statistica 3 Annals of Operations Research 3 Computational Statistics 3 Acta Mathematica Sinica. New Series 3 Far East Journal of Theoretical Statistics 3 Statistical Inference for Stochastic Processes 3 Journal of Machine Learning Research (JMLR) 3 Statistical Applications in Genetics and Molecular Biology 2 Computers & Mathematics with Applications 2 Journal of Statistical Physics 2 Periodica Mathematica Hungarica 2 Theory of Probability and its Applications 2 Applied Mathematics and Computation 2 Mathematics and Computers in Simulation 2 Results in Mathematics 2 Acta Applicandae Mathematicae 2 Neural Computation 2 Economics Letters 2 SIAM Journal on Optimization 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Journal of Inequalities and Applications 2 Australian & New Zealand Journal of Statistics 2 Journal of Systems Science and Complexity 2 Stochastics and Dynamics 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Journal of Statistical Theory and Practice 2 AStA. Advances in Statistical Analysis 2 Set-Valued and Variational Analysis 2 Probability Surveys 2 European Actuarial Journal 2 Journal of Statistical Distributions and Applications ...and 72 more Serials all top 5 Cited in 42 Fields 1,198 Statistics (62-XX) 590 Probability theory and stochastic processes (60-XX) 105 Numerical analysis (65-XX) 56 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Operations research, mathematical programming (90-XX) 16 Number theory (11-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Computer science (68-XX) 13 Biology and other natural sciences (92-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Functional analysis (46-XX) 6 Information and communication theory, circuits (94-XX) 5 Combinatorics (05-XX) 5 Real functions (26-XX) 5 Measure and integration (28-XX) 5 Special functions (33-XX) 4 History and biography (01-XX) 4 Partial differential equations (35-XX) 4 Geophysics (86-XX) 4 Systems theory; control (93-XX) 3 Mechanics of deformable solids (74-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Citations by Year