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Shorack, Galen R.

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Author ID: shorack.galen-r Recent zbMATH articles by "Shorack, Galen R."
Published as: Shorack, G. R.; Shorack, Galen; Shorack, Galen R.
Documents Indexed: 44 Publications since 1967, including 4 Books

Publications by Year

Citations contained in zbMATH

38 Publications have been cited 1,556 times in 1,381 Documents Cited by Year
Empirical processes with applications to statistics. Zbl 1170.62365
Shorack, Galen R.; Wellner, Jon A.
943
1986
Probability for statisticians. Zbl 0951.62005
Shorack, Galen R.
75
2000
Functions of order statistics. Zbl 0239.62037
Shorack, Galen R.
55
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.
53
1968
Empirical processes with applications to statistics. Reprint of the 1986 original ed. Zbl 1171.62057
Shorack, Galen R.; Wellner, Jon A.
51
2009
Testing against ordered alternatives in model I analysis of variance; normal theory and nonparametric. Zbl 0157.48304
Shorack, G. R.
45
1967
Asymptotic normality of nonparametric tests for independence. Zbl 0254.62025
Ruymgaart, F. H.; Shorack, G. R.; van Zwet, W. R.
32
1972
Strong limit theorems for oscillation moduli of the uniform empirical process. Zbl 0506.60025
Mason, David M.; Shorack, Galen R.; Wellner, Jon A.
30
1983
Bootstrapping robust regression. Zbl 0523.62033
Shorack, Galen R.
22
1982
Some results on the influence of extremes on the bootstrap. Zbl 0774.62042
Deheuvels, Paul; Mason, David M.; Shorack, Galen R.
21
1993
Large deviations of goodness of fit statistics and linear combinations of order statistics. Zbl 0473.60035
Groeneboom, Piet; Shorack, Galen R.
17
1981
Convergence of quantile and spacings processes with applications. Zbl 0249.62021
Shorack, Galen R.
17
1972
Asymptotic normality of linear combinations of functions of order statistics. Zbl 0188.51002
Shorack, G. R.
16
1969
Linear bounds on the empirical distribution function. Zbl 0376.60034
Shorack, Galen R.; Wellner, Jon A.
15
1978
Inequalities for\(\max| S_k| /b_k\) where \(k\in N^r\). Zbl 0327.60036
Shorack, Galen R.; Smythe, R. T.
15
1976
Necessary and sufficient conditions for asymptotic normality of \(L\)- statistics. Zbl 0765.62024
Mason, David M.; Shorack, Galen R.
14
1992
Random means. Zbl 0286.62029
Shorack, Galen R.
14
1974
Kiefer’s theorem via the Hungarian construction. Zbl 0501.60038
Shorack, Galen R.
12
1982
The weighted empirical process of row independent random variables with arbitrary distribution functions. Zbl 0436.60009
Shorack, Galen R.
12
1979
Extension of the Darling and Erdős theorem on the maximum of normalized sums. Zbl 0421.60046
Shorack, Galen R.
11
1979
Necessary and sufficient conditions for asymptotic normality of trimmed L-statistics. Zbl 0703.62024
Mason, David M.; Shorack, Galen R.
10
1990
Limit theorems and inequalities for the uniform empirical process indexed by intervals. Zbl 0497.60026
Shorack, Galen R.; Wellner, Jon A.
10
1982
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.
10
1973
The best test of exponentiality against gamma alternatives. Zbl 0235.62007
Shorack, Galen R.
10
1972
Empirical and rank processes of observations and residuals. Zbl 0566.62013
Shorack, Galen R.
7
1984
Embedding the finite sampling process at a rate. Zbl 0731.60026
Shorack, Galen R.
6
1991
Weak convergence of empirical and quantile processes in sup-norm metrics via KMT-constructions. Zbl 0405.60006
Shorack, Galen R.
5
1979
Robust studentization of location estimates. Zbl 0363.62038
Shorack, Galen R.
5
1976
A simple proof of a rate of embedding for the partial sum process. Zbl 0726.60079
Shorack, G. R.
4
1990
Some law of the iterated logarithm type results for the empirical process. Zbl 0423.60029
Shorack, Galen R.
4
1980
The appropriate reduction of the weighted empirical process. Zbl 0658.60012
Shorack, G. R.; Beirlant, Jan
3
1986
Tolerance bounds for log gamma regression models. Zbl 0573.62093
Jones, Robert A.; Scholz, F. W.; Ossiander, Mina; Shorack, Galen R.
3
1985
Linear rank statistics, finite sampling, permutation tests and Winsorizing. Zbl 0862.62017
Shorack, Galen R.
2
1996
Limit results for linear combinations. Zbl 0724.60020
Shorack, Galen R.
2
1991
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
2
1975
Probability for statisticians. 2nd edition. Zbl 1377.62009
Shorack, Galen R.
1
2017
Inequalities for quantile functions with a uniform studentized CLT that includes trimming. Zbl 0892.60026
Shorack, Galen R.
1
1997
Uniform CLT, WLLN, LIL and bootstrapping in a data analytic approach to trimmed \(L\)-statistics. Zbl 0937.62593
Shorack, Galen R.
1
1997
Probability for statisticians. 2nd edition. Zbl 1377.62009
Shorack, Galen R.
1
2017
Empirical processes with applications to statistics. Reprint of the 1986 original ed. Zbl 1171.62057
Shorack, Galen R.; Wellner, Jon A.
51
2009
Probability for statisticians. Zbl 0951.62005
Shorack, Galen R.
75
2000
Inequalities for quantile functions with a uniform studentized CLT that includes trimming. Zbl 0892.60026
Shorack, Galen R.
1
1997
Uniform CLT, WLLN, LIL and bootstrapping in a data analytic approach to trimmed \(L\)-statistics. Zbl 0937.62593
Shorack, Galen R.
1
1997
Linear rank statistics, finite sampling, permutation tests and Winsorizing. Zbl 0862.62017
Shorack, Galen R.
2
1996
Some results on the influence of extremes on the bootstrap. Zbl 0774.62042
Deheuvels, Paul; Mason, David M.; Shorack, Galen R.
21
1993
Necessary and sufficient conditions for asymptotic normality of \(L\)- statistics. Zbl 0765.62024
Mason, David M.; Shorack, Galen R.
14
1992
Embedding the finite sampling process at a rate. Zbl 0731.60026
Shorack, Galen R.
6
1991
Limit results for linear combinations. Zbl 0724.60020
Shorack, Galen R.
2
1991
Necessary and sufficient conditions for asymptotic normality of trimmed L-statistics. Zbl 0703.62024
Mason, David M.; Shorack, Galen R.
10
1990
A simple proof of a rate of embedding for the partial sum process. Zbl 0726.60079
Shorack, G. R.
4
1990
Empirical processes with applications to statistics. Zbl 1170.62365
Shorack, Galen R.; Wellner, Jon A.
943
1986
The appropriate reduction of the weighted empirical process. Zbl 0658.60012
Shorack, G. R.; Beirlant, Jan
3
1986
Tolerance bounds for log gamma regression models. Zbl 0573.62093
Jones, Robert A.; Scholz, F. W.; Ossiander, Mina; Shorack, Galen R.
3
1985
Empirical and rank processes of observations and residuals. Zbl 0566.62013
Shorack, Galen R.
7
1984
Strong limit theorems for oscillation moduli of the uniform empirical process. Zbl 0506.60025
Mason, David M.; Shorack, Galen R.; Wellner, Jon A.
30
1983
Bootstrapping robust regression. Zbl 0523.62033
Shorack, Galen R.
22
1982
Kiefer’s theorem via the Hungarian construction. Zbl 0501.60038
Shorack, Galen R.
12
1982
Limit theorems and inequalities for the uniform empirical process indexed by intervals. Zbl 0497.60026
Shorack, Galen R.; Wellner, Jon A.
10
1982
Large deviations of goodness of fit statistics and linear combinations of order statistics. Zbl 0473.60035
Groeneboom, Piet; Shorack, Galen R.
17
1981
Some law of the iterated logarithm type results for the empirical process. Zbl 0423.60029
Shorack, Galen R.
4
1980
The weighted empirical process of row independent random variables with arbitrary distribution functions. Zbl 0436.60009
Shorack, Galen R.
12
1979
Extension of the Darling and Erdős theorem on the maximum of normalized sums. Zbl 0421.60046
Shorack, Galen R.
11
1979
Weak convergence of empirical and quantile processes in sup-norm metrics via KMT-constructions. Zbl 0405.60006
Shorack, Galen R.
5
1979
Linear bounds on the empirical distribution function. Zbl 0376.60034
Shorack, Galen R.; Wellner, Jon A.
15
1978
Inequalities for\(\max| S_k| /b_k\) where \(k\in N^r\). Zbl 0327.60036
Shorack, Galen R.; Smythe, R. T.
15
1976
Robust studentization of location estimates. Zbl 0363.62038
Shorack, Galen R.
5
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
2
1975
Random means. Zbl 0286.62029
Shorack, 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 0255.62044
Shorack, Galen R.
10
1973
Functions of order statistics. Zbl 0239.62037
Shorack, Galen R.
55
1972
Asymptotic normality of nonparametric tests for independence. Zbl 0254.62025
Ruymgaart, F. H.; Shorack, G. R.; van Zwet, W. R.
32
1972
Convergence of quantile and spacings processes with applications. Zbl 0249.62021
Shorack, Galen R.
17
1972
The best test of exponentiality against gamma alternatives. Zbl 0235.62007
Shorack, Galen R.
10
1972
Asymptotic normality of linear combinations of functions of order statistics. Zbl 0188.51002
Shorack, G. R.
16
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.
53
1968
Testing against ordered alternatives in model I analysis of variance; normal theory and nonparametric. Zbl 0157.48304
Shorack, G. R.
45
1967
all top 5

Cited by 1,518 Authors

26 Mason, David M.
25 Horváth, Lajos
24 Deheuvels, Paul
24 Wellner, Jon August
23 Einmahl, John H. J.
20 Berkes, István
20 Zitikis, Ričardas
17 Csörgő, Miklós
15 Bouzebda, Salim
13 Puri, Madan Lal
13 Ruymgaart, Frits H.
12 Janssen, Arnold
12 Lee, Sangyeol
11 Aistleitner, Christoph
11 Beirlant, Jan
11 Henze, Norbert
11 Peng, Liang
11 Shi, Zhan
11 Steland, Ansgar
10 Shorack, Galen R.
10 Stute, Winfried
10 Sun, Liuquan
10 Zähle, Henryk
9 Guillou, Armelle
9 Hall, Peter Gavin
8 Aly, Emad-Eldin A. A.
8 Drees, Holger
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 Ferger, Dietmar
7 Finner, Helmut
7 Genest, Christian
7 Grane, Aurea
7 Jin, Jiashun
7 Shao, Qi-Man
6 Akritas, Michael G.
6 Beutner, Eric
6 Dikta, Gerhard
6 Dümbgen, Lutz
6 El Barmi, Hammou
6 Gribkova, Nadezhda V.
6 Hallin, Marc
6 Kokoszka, Piotr S.
6 Ledwina, Teresa
6 Neumeyer, Natalie
6 Quessy, Jean-François
6 Sen, Pranab Kumar
6 Szyszkowicz, Barbara
6 Van Keilegom, Ingrid
6 Wang, Qihua
5 Baringhaus, Ludwig
5 Csáki, Endre
5 de Uña-Álvarez, Jacobo
5 Donoho, David Leigh
5 Fortiana, Josep
5 Grübel, Rudolf
5 Hjort, Nils Lid
5 Lahiri, Soumendra Nath
5 Laib, Naâmane
5 Munk, Axel
5 Neuhaus, Georg
5 Rémillard, Bruno N.
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 Arias-Castro, Ery
4 Balakrishnan, Narayanaswamy
4 Bazyari, Abouzar
4 Bentkus, Vidmants-Kastytis
4 Berthet, Philippe
4 Bordes, Laurent
4 Davydov, Youri
4 del Barrio, Eustasio
4 Devroye, Luc P. J. A.
4 Dickhaus, Thorsten
4 Dindar, Zacharie
4 Einmahl, Uwe
4 Fakoor, Vahid
4 Gontscharuk, Veronika
4 Huang, Meiling
4 Jammalamadaka, Sreenivasa Rao
4 Jirak, Moritz
4 Jones, Bruce L.
4 Jurečková, Jana
4 Keziou, Amor
4 Khoshnevisan, Davar
...and 1,418 more Authors
all top 5

Cited in 159 Serials

150 Journal of Statistical Planning and Inference
122 Statistics & Probability Letters
97 The Annals of Statistics
95 Communications in Statistics. Theory and Methods
82 Journal of Multivariate Analysis
61 Stochastic Processes and their Applications
52 Journal of Nonparametric Statistics
45 Bernoulli
34 Annals of the Institute of Statistical Mathematics
32 Journal of Econometrics
26 Computational Statistics and Data Analysis
25 Metrika
25 The Annals of Probability
25 Electronic Journal of Statistics
21 Scandinavian Journal of Statistics
18 Statistics
18 Communications in Statistics. Simulation and Computation
17 Probability Theory and Related Fields
17 Mathematical Methods of Statistics
16 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
15 The Canadian Journal of Statistics
14 Journal of Theoretical Probability
13 Insurance Mathematics & Economics
12 Test
11 The Annals of Applied Probability
10 Journal of Mathematical Sciences (New York)
9 Lithuanian Mathematical Journal
9 Statistica Neerlandica
9 Journal of Statistical Computation and Simulation
7 Kybernetika
7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
6 Transactions of the American Mathematical Society
6 Sequential Analysis
6 Statistical Methodology
6 Sankhyā. Series A
5 Advances in Applied Probability
5 Journal of Mathematical Analysis and Applications
5 Journal of Applied Probability
5 Journal of Time Series Analysis
5 Stochastic Analysis and Applications
5 Science in China. Series A
5 Statistical Papers
5 Lifetime Data Analysis
5 Extremes
5 Acta Mathematica Sinica. English Series
5 Econometric Theory
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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 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 Scandinavian Actuarial Journal
4 Journal of the Korean Statistical Society
4 Dependence Modeling
3 Israel Journal of Mathematics
3 Mathematics of Computation
3 Applied Mathematics and Computation
3 Journal of the American Statistical Association
3 Monatshefte für Mathematik
3 Scandinavian Actuarial Journal
3 Annals of Operations Research
3 Acta Mathematica Sinica. New Series
3 Journal of Applied Statistics
3 Statistical Inference for Stochastic Processes
3 Journal of Machine Learning Research (JMLR)
3 Statistical Applications in Genetics and Molecular Biology
3 Science China. Mathematics
3 Statistics and Computing
2 Computers & Mathematics with Applications
2 Journal of Statistical Physics
2 Periodica Mathematica Hungarica
2 Theoretical Population Biology
2 Acta Applicandae Mathematicae
2 Econometric Reviews
2 Neural Computation
2 Economics Letters
2 Computational Statistics
2 SIAM Journal on Optimization
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 Australian & New Zealand Journal of Statistics
2 Journal of Systems Science and Complexity
2 Stochastics and Dynamics
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
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Computational Physics
1 Journal of Mathematical Physics
1 Physica A
1 Rocky Mountain Journal of Mathematics
...and 59 more Serials
all top 5

Cited in 42 Fields

1,179 Statistics (62-XX)
576 Probability theory and stochastic processes (60-XX)
107 Numerical analysis (65-XX)
56 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Operations research, mathematical programming (90-XX)
15 Number theory (11-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
13 Computer science (68-XX)
12 Biology and other natural sciences (92-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Functional analysis (46-XX)
5 Measure and integration (28-XX)
4 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Special functions (33-XX)
4 Partial differential equations (35-XX)
4 Geophysics (86-XX)
4 Information and communication theory, circuits (94-XX)
3 Real functions (26-XX)
3 Mechanics of deformable solids (74-XX)
3 Astronomy and astrophysics (85-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-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 Operator theory (47-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