## Shorack, Galen R.

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 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
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### 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)

### 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 1170.62365
Shorack, Galen R.; Wellner, Jon A.
1986
Probability for statisticians. Zbl 0951.62005
Shorack, Galen R.
2000
Empirical processes with applications to statistics. Reprint of the 1986 original ed. Zbl 1171.62057
Shorack, Galen R.; Wellner, Jon A.
2009
Functions of order statistics. Zbl 0239.62037
Shorack, Galen R.
1972
Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems. Zbl 0159.48004
Pyke, R.; Shorack, G. R.
1968
Testing against ordered alternatives in model I analysis of variance; normal theory and nonparametric. Zbl 0157.48304
Shorack, G. R.
1967
Asymptotic normality of nonparametric tests for independence. Zbl 0254.62025
Ruymgaart, F. H.; Shorack, G. R.; van Zwet, W. R.
1972
Strong limit theorems for oscillation moduli of the uniform empirical process. Zbl 0506.60025
Mason, David M.; Shorack, Galen R.; Wellner, Jon A.
1983
Bootstrapping robust regression. Zbl 0523.62033
Shorack, Galen R.
1982
Some results on the influence of extremes on the bootstrap. Zbl 0774.62042
Deheuvels, Paul; Mason, David M.; Shorack, Galen R.
1993
Large deviations of goodness of fit statistics and linear combinations of order statistics. Zbl 0473.60035
Groeneboom, Piet; Shorack, Galen R.
1981
Convergence of quantile and spacings processes with applications. Zbl 0249.62021
Shorack, Galen R.
1972
Inequalities for$$\max| S_k| /b_k$$ where $$k\in N^r$$. Zbl 0327.60036
Shorack, Galen R.; Smythe, R. T.
1976
Asymptotic normality of linear combinations of functions of order statistics. Zbl 0188.51002
Shorack, G. R.
1969
Necessary and sufficient conditions for asymptotic normality of $$L$$- statistics. Zbl 0765.62024
Mason, David M.; Shorack, Galen R.
1992
Linear bounds on the empirical distribution function. Zbl 0376.60034
Shorack, Galen R.; Wellner, Jon A.
1978
The weighted empirical process of row independent random variables with arbitrary distribution functions. Zbl 0436.60009
Shorack, Galen R.
1979
Random means. Zbl 0286.62029
Shorack, Galen R.
1974
Limit theorems and inequalities for the uniform empirical process indexed by intervals. Zbl 0497.60026
Shorack, Galen R.; Wellner, Jon A.
1982
Kiefer’s theorem via the Hungarian construction. Zbl 0501.60038
Shorack, Galen R.
1982
Extension of the Darling and Erdős theorem on the maximum of normalized sums. Zbl 0421.60046
Shorack, Galen R.
1979
The best test of exponentiality against gamma alternatives. Zbl 0235.62007
Shorack, Galen R.
1972
Necessary and sufficient conditions for asymptotic normality of trimmed L-statistics. Zbl 0703.62024
Mason, David M.; Shorack, Galen R.
1990
Convergence of reduced empirical and quantile processes with application to functions of order statistics in the non-I.I.D. case. Zbl 0255.62044
Shorack, Galen R.
1973
Empirical and rank processes of observations and residuals. Zbl 0566.62013
Shorack, Galen R.
1984
Embedding the finite sampling process at a rate. Zbl 0731.60026
Shorack, Galen R.
1991
Robust studentization of location estimates. Zbl 0363.62038
Shorack, Galen R.
1976
Weak convergence of empirical and quantile processes in sup-norm metrics via KMT-constructions. Zbl 0405.60006
Shorack, Galen R.
1979
A simple proof of a rate of embedding for the partial sum process. Zbl 0726.60079
Shorack, G. R.
1990
Some law of the iterated logarithm type results for the empirical process. Zbl 0423.60029
Shorack, Galen R.
1980
Probability for statisticians. 2nd edition. Zbl 1377.62009
Shorack, Galen R.
2017
The appropriate reduction of the weighted empirical process. Zbl 0658.60012
Shorack, G. R.; Beirlant, Jan
1986
Tolerance bounds for log gamma regression models. Zbl 0573.62093
Jones, Robert A.; Scholz, F. W.; Ossiander, Mina; Shorack, Galen R.
1985
Correction to ’Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems’. Zbl 0318.62017
Pyke, Ronald; Shorack, Galen
1975
Linear rank statistics, finite sampling, permutation tests and Winsorizing. Zbl 0862.62017
Shorack, Galen R.
1996
Inequalities for quantile functions with a uniform studentized CLT that includes trimming. Zbl 0892.60026
Shorack, Galen R.
1997
Uniform CLT, WLLN, LIL and bootstrapping in a data analytic approach to trimmed $$L$$-statistics. Zbl 0937.62593
Shorack, Galen R.
1997
Limit results for linear combinations. Zbl 0724.60020
Shorack, Galen R.
1991
Probability for statisticians. 2nd edition. Zbl 1377.62009
Shorack, Galen R.
2017
Empirical processes with applications to statistics. Reprint of the 1986 original ed. Zbl 1171.62057
Shorack, Galen R.; Wellner, Jon A.
2009
Probability for statisticians. Zbl 0951.62005
Shorack, Galen R.
2000
Inequalities for quantile functions with a uniform studentized CLT that includes trimming. Zbl 0892.60026
Shorack, Galen R.
1997
Uniform CLT, WLLN, LIL and bootstrapping in a data analytic approach to trimmed $$L$$-statistics. Zbl 0937.62593
Shorack, Galen R.
1997
Linear rank statistics, finite sampling, permutation tests and Winsorizing. Zbl 0862.62017
Shorack, Galen R.
1996
Some results on the influence of extremes on the bootstrap. Zbl 0774.62042
Deheuvels, Paul; Mason, David M.; Shorack, Galen R.
1993
Necessary and sufficient conditions for asymptotic normality of $$L$$- statistics. Zbl 0765.62024
Mason, David M.; Shorack, Galen R.
1992
Embedding the finite sampling process at a rate. Zbl 0731.60026
Shorack, Galen R.
1991
Limit results for linear combinations. Zbl 0724.60020
Shorack, Galen R.
1991
Necessary and sufficient conditions for asymptotic normality of trimmed L-statistics. Zbl 0703.62024
Mason, David M.; Shorack, Galen R.
1990
A simple proof of a rate of embedding for the partial sum process. Zbl 0726.60079
Shorack, G. R.
1990
Empirical processes with applications to statistics. Zbl 1170.62365
Shorack, Galen R.; Wellner, Jon A.
1986
The appropriate reduction of the weighted empirical process. Zbl 0658.60012
Shorack, G. R.; Beirlant, Jan
1986
Tolerance bounds for log gamma regression models. Zbl 0573.62093
Jones, Robert A.; Scholz, F. W.; Ossiander, Mina; Shorack, Galen R.
1985
Empirical and rank processes of observations and residuals. Zbl 0566.62013
Shorack, Galen R.
1984
Strong limit theorems for oscillation moduli of the uniform empirical process. Zbl 0506.60025
Mason, David M.; Shorack, Galen R.; Wellner, Jon A.
1983
Bootstrapping robust regression. Zbl 0523.62033
Shorack, Galen R.
1982
Limit theorems and inequalities for the uniform empirical process indexed by intervals. Zbl 0497.60026
Shorack, Galen R.; Wellner, Jon A.
1982
Kiefer’s theorem via the Hungarian construction. Zbl 0501.60038
Shorack, Galen R.
1982
Large deviations of goodness of fit statistics and linear combinations of order statistics. Zbl 0473.60035
Groeneboom, Piet; Shorack, Galen R.
1981
Some law of the iterated logarithm type results for the empirical process. Zbl 0423.60029
Shorack, Galen R.
1980
The weighted empirical process of row independent random variables with arbitrary distribution functions. Zbl 0436.60009
Shorack, Galen R.
1979
Extension of the Darling and Erdős theorem on the maximum of normalized sums. Zbl 0421.60046
Shorack, Galen R.
1979
Weak convergence of empirical and quantile processes in sup-norm metrics via KMT-constructions. Zbl 0405.60006
Shorack, Galen R.
1979
Linear bounds on the empirical distribution function. Zbl 0376.60034
Shorack, Galen R.; Wellner, Jon A.
1978
Inequalities for$$\max| S_k| /b_k$$ where $$k\in N^r$$. Zbl 0327.60036
Shorack, Galen R.; Smythe, R. T.
1976
Robust studentization of location estimates. Zbl 0363.62038
Shorack, Galen R.
1976
Correction to ’Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems’. Zbl 0318.62017
Pyke, Ronald; Shorack, Galen
1975
Random means. Zbl 0286.62029
Shorack, Galen R.
1974
Convergence of reduced empirical and quantile processes with application to functions of order statistics in the non-I.I.D. case. Zbl 0255.62044
Shorack, Galen R.
1973
Functions of order statistics. Zbl 0239.62037
Shorack, Galen R.
1972
Asymptotic normality of nonparametric tests for independence. Zbl 0254.62025
Ruymgaart, F. H.; Shorack, G. R.; van Zwet, W. R.
1972
Convergence of quantile and spacings processes with applications. Zbl 0249.62021
Shorack, Galen R.
1972
The best test of exponentiality against gamma alternatives. Zbl 0235.62007
Shorack, Galen R.
1972
Asymptotic normality of linear combinations of functions of order statistics. Zbl 0188.51002
Shorack, G. R.
1969
Weak convergence of a two-sample empirical process and a new approach to Chernoff-Savage theorems. Zbl 0159.48004
Pyke, R.; Shorack, G. R.
1968
Testing against ordered alternatives in model I analysis of variance; normal theory and nonparametric. Zbl 0157.48304
Shorack, G. R.
1967
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)