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O’Brien, George L.

Author ID: obrien.george-l Recent zbMATH articles by "O’Brien, George L."
Published as: O’Brien, G. L.; O’Brien, George L.; O’Brien, George
External Links: MGP
Documents Indexed: 49 Publications since 1972
Co-Authors: 16 Co-Authors with 22 Joint Publications
457 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 516 times in 457 Documents Cited by Year
Stochastic inequalities on partially ordered spaces. Zbl 0371.60013
Kamae, T.; Krengel, U.; O’Brien, G. L.
156
1977
Extreme values for stationary and Markov sequences. Zbl 0619.60025
O’Brien, George L.
75
1987
Stationary self-similar extremal processes. Zbl 0688.60025
O’Brien, George L.; Torfs, Paul J. J. F.; Vervaat, Wim
22
1990
A limit theorem for sample maxima and heavy branches in Galton-Watson trees. Zbl 0428.60034
O’Brien, G. L.
21
1980
A new comparison theorem for solutions of stochastic differential equations. Zbl 0428.60070
O’Brien, G. L.
20
1980
A Bernoulli factory. Zbl 0844.60008
Keane, M. S.; O’Brien, George L.
19
1994
The maximum term of uniformly mixing stationary processes. Zbl 0277.60020
O’Brien, G. L.
18
1974
Sequences of capacities, with connections to large-deviation theory. Zbl 0847.60061
O’Brien, George L.
15
1996
Examples of mixing sequences. Zbl 0337.60035
Kesten, H.; O’Brien, G. L.
15
1976
The comparison method for stochastic processes. Zbl 0302.60037
O’Brien, G. L.
15
1975
Limit theorems for the maximum term of a stationary process. Zbl 0286.60018
O’Brien, G. L.
14
1974
The road-colouring problem. Zbl 0471.05033
O’Brien, G. L.
13
1981
Loud shot noise. Zbl 0724.60105
Doney, R. A.; O’Brien, George L.
11
1991
Compactness in the theory of large deviations. Zbl 0824.60019
O’Brien, George L.; Vervaat, Wim
10
1995
Stochastic dominance and moment inequalities. Zbl 0544.60028
O’Brien, G. L.
9
1984
Self-similar processes with stationary increments generated by point processes. Zbl 0567.60052
O’Brien, George L.; Vervaat, Wim
7
1985
Limit theorems for extreme values of chain-dependent processes. Zbl 0322.60088
Denzel, G. E.; O’Brien, G. L.
7
1975
Capacities, large deviations and log log laws. Zbl 0724.60033
O’Brien, George L.; Vervaat, Wim
7
1991
The expected ratio of the sum of squares to the square of the sum. Zbl 0545.60034
McLeish, D. L.; O’Brien, G. L.
6
1982
Marginal distributions of self-similar processes with stationary increments. Zbl 0498.60060
O’Brien, George L.; Vervaat, Wim
5
1983
A note on comparisons of Markov processes. Zbl 0241.60056
O’Brien, George
5
1972
Pairwise independent random variables. Zbl 0426.60011
O’Brien, G. L.
5
1980
Limit theorems for sums of chain-dependent processes. Zbl 0293.60062
O’Brien, G. L.
4
1974
Multivariate stochastic dominance and moments. Zbl 0726.60015
O’Brien, George L.; Scarsini, Marco
4
1991
How subadditive are subadditive capacities? Zbl 0808.28001
O’Brien, George L.; Vervaat, Wim
4
1994
The occurence of large values in stationary sequences. Zbl 0479.60030
O’Brien, G. L.
3
1982
Relative compactness for capacities, measures, upper semicontinuous functions and closed sets. Zbl 0918.31004
O’Brien, George L.; Watson, Stephen
3
1998
Path properties of successive sample minima from stationary processes. Zbl 0339.60029
O’Brien, G. L.
3
1977
Monotonicity of the number of self-avoiding walks. Zbl 0718.60080
O’Brien, George L.
3
1990
Large deviation principles and loglog laws for observation processes. Zbl 0858.60030
O’Brien, George L.; Vervaat, W.
3
1996
Optimal stopping when sampling with and without replacement. Zbl 0497.60037
O’Brien, G. L.
2
1983
Thickened renewal processes. Zbl 0782.60055
Doney, R. A.; O’Brien, George L.
2
1992
Large deviations on linear spaces. Zbl 0868.60022
O’Brien, George L.; Sun, Jiaming
2
1996
Scaling transformations for \(\{0,1\}\)-valued sequences. Zbl 0417.60035
O’Brien, G. L.
2
1980
Zero-inducing functions on finite Abelian groups. Zbl 0446.20033
O’Brien, G. L.
2
1982
When are distributions skewed to the right? Zbl 0798.62020
Burton, R. M.; Keane, M.; O’Brien, G. L.
2
1994
Divisibility properties of Lebesgue measure. Zbl 0527.28008
O’Brien, G. L.; Steutel, F. W.
1
1981
Inequalities for queues with dependent interarrival and service times. Zbl 0314.60073
O’Brien, G. L.
1
1975
Relative compactness for capacities, measures, upper semicontinuous functions and closed sets. Zbl 0918.31004
O’Brien, George L.; Watson, Stephen
3
1998
Sequences of capacities, with connections to large-deviation theory. Zbl 0847.60061
O’Brien, George L.
15
1996
Large deviation principles and loglog laws for observation processes. Zbl 0858.60030
O’Brien, George L.; Vervaat, W.
3
1996
Large deviations on linear spaces. Zbl 0868.60022
O’Brien, George L.; Sun, Jiaming
2
1996
Compactness in the theory of large deviations. Zbl 0824.60019
O’Brien, George L.; Vervaat, Wim
10
1995
A Bernoulli factory. Zbl 0844.60008
Keane, M. S.; O’Brien, George L.
19
1994
How subadditive are subadditive capacities? Zbl 0808.28001
O’Brien, George L.; Vervaat, Wim
4
1994
When are distributions skewed to the right? Zbl 0798.62020
Burton, R. M.; Keane, M.; O’Brien, G. L.
2
1994
Thickened renewal processes. Zbl 0782.60055
Doney, R. A.; O’Brien, George L.
2
1992
Loud shot noise. Zbl 0724.60105
Doney, R. A.; O’Brien, George L.
11
1991
Capacities, large deviations and log log laws. Zbl 0724.60033
O’Brien, George L.; Vervaat, Wim
7
1991
Multivariate stochastic dominance and moments. Zbl 0726.60015
O’Brien, George L.; Scarsini, Marco
4
1991
Stationary self-similar extremal processes. Zbl 0688.60025
O’Brien, George L.; Torfs, Paul J. J. F.; Vervaat, Wim
22
1990
Monotonicity of the number of self-avoiding walks. Zbl 0718.60080
O’Brien, George L.
3
1990
Extreme values for stationary and Markov sequences. Zbl 0619.60025
O’Brien, George L.
75
1987
Self-similar processes with stationary increments generated by point processes. Zbl 0567.60052
O’Brien, George L.; Vervaat, Wim
7
1985
Stochastic dominance and moment inequalities. Zbl 0544.60028
O’Brien, G. L.
9
1984
Marginal distributions of self-similar processes with stationary increments. Zbl 0498.60060
O’Brien, George L.; Vervaat, Wim
5
1983
Optimal stopping when sampling with and without replacement. Zbl 0497.60037
O’Brien, G. L.
2
1983
The expected ratio of the sum of squares to the square of the sum. Zbl 0545.60034
McLeish, D. L.; O’Brien, G. L.
6
1982
The occurence of large values in stationary sequences. Zbl 0479.60030
O’Brien, G. L.
3
1982
Zero-inducing functions on finite Abelian groups. Zbl 0446.20033
O’Brien, G. L.
2
1982
The road-colouring problem. Zbl 0471.05033
O’Brien, G. L.
13
1981
Divisibility properties of Lebesgue measure. Zbl 0527.28008
O’Brien, G. L.; Steutel, F. W.
1
1981
A limit theorem for sample maxima and heavy branches in Galton-Watson trees. Zbl 0428.60034
O’Brien, G. L.
21
1980
A new comparison theorem for solutions of stochastic differential equations. Zbl 0428.60070
O’Brien, G. L.
20
1980
Pairwise independent random variables. Zbl 0426.60011
O’Brien, G. L.
5
1980
Scaling transformations for \(\{0,1\}\)-valued sequences. Zbl 0417.60035
O’Brien, G. L.
2
1980
Stochastic inequalities on partially ordered spaces. Zbl 0371.60013
Kamae, T.; Krengel, U.; O’Brien, G. L.
156
1977
Path properties of successive sample minima from stationary processes. Zbl 0339.60029
O’Brien, G. L.
3
1977
Examples of mixing sequences. Zbl 0337.60035
Kesten, H.; O’Brien, G. L.
15
1976
The comparison method for stochastic processes. Zbl 0302.60037
O’Brien, G. L.
15
1975
Limit theorems for extreme values of chain-dependent processes. Zbl 0322.60088
Denzel, G. E.; O’Brien, G. L.
7
1975
Inequalities for queues with dependent interarrival and service times. Zbl 0314.60073
O’Brien, G. L.
1
1975
The maximum term of uniformly mixing stationary processes. Zbl 0277.60020
O’Brien, G. L.
18
1974
Limit theorems for the maximum term of a stationary process. Zbl 0286.60018
O’Brien, G. L.
14
1974
Limit theorems for sums of chain-dependent processes. Zbl 0293.60062
O’Brien, G. L.
4
1974
A note on comparisons of Markov processes. Zbl 0241.60056
O’Brien, George
5
1972
all top 5

Cited by 610 Authors

11 O’Brien, George L.
7 Jakubowski, Adam
7 Scarsini, Marco
6 Shaked, Moshe
6 Shanthikumar, Jeyaveerasingam George
6 Wang, Yizao
5 Bradley, Richard C. jun.
5 Freitas, Ana Cristina Moreira
5 Freitas, Jorge Milhazes
5 Huang, Xing
5 Novak, Serguei Yu.
5 Samorodnitsky, Gennady Pinkhosovich
5 Segers, Johan
4 Comman, Henri
4 Hsing, Tailen
4 López-Díaz, María Concepción
4 López-Díaz, Miguel
4 Østerdal, Lars Peter
4 Pellerey, Franco
4 Robert, Christian-Yann
4 Roberts, Gareth O.
4 Schürger, Klaus
4 Soja-Kukieła, Natalia
4 Tawn, Jonathan A.
4 Vervaat, Wim
4 Wang, Feng-Yu
3 Denuit, Michel M.
3 Dyckerhoff, Rainer
3 Fernández-Ponce, José María
3 Ferreira, Helena
3 Fill, James Allen
3 Gomes, Dora Prata
3 Jonckheere, Matthieu
3 Kari, Jarkko
3 Latuszynski, Krzysztof
3 Leskelä, Lasse
3 Lund, Robert B.
3 Machida, Motoya
3 Molchanov, Ilya S.
3 Mosler, Karl Clemens
3 Neves, Manuela
3 Paes Leme, Renato
3 Rodríguez-Griñolo, M. R.
3 Rosenthal, Jeffrey S.
3 Rüschendorf, Ludger
3 Sarantsev, Andrey
3 Schneider, Jon
3 Shin, Yang Woo
3 Utev, Sergey
3 Whitt, Ward
3 Yao, David D. W.
2 Abadi, Miguel Natalio
2 Alpuim, Maria Teresa
2 Alsmeyer, Gerold
2 Asylgareev, Artur Salavatovich
2 Baccelli, François Louis
2 Balbus, Łukasz
2 Bryc, Włodzimierz
2 Bücher, Axel
2 Chen, Zaoli
2 Cinlar, Erhan
2 Colangelo, Antonio
2 Criens, David
2 Csörgő, Miklós
2 Davis, Richard A.
2 Decrouez, Geoffrey
2 Doukhan, Paul
2 Durieu, Olivier
2 Dziewulski, Paweł
2 Faranda, Davide
2 Franke, Brice
2 Gaudreau Lamarre, Pierre Yves
2 Glynn, Peter W.
2 Hashorva, Enkelejd
2 Hill, Jonathan B.
2 Holroyd, Alexander E.
2 Hooghiemstra, Gerard
2 Huber, Mark L.
2 Iksanov, Aleksander M.
2 Jacquier, Antoine
2 Javier López, F.
2 Jones, Owen Dafydd
2 Kamihigashi, Takashi
2 Kozubowski, Tomasz J.
2 Lamboni, Matieyendou
2 Last, Günter
2 Laurini, Fabrizio
2 Leadbetter, Malcolm Ross
2 Lefèvre, Claude
2 Li, Haijun
2 Lindqvist, Bo Henry
2 Louis, Pierre-Yves
2 Maejima, Makoto
2 Markovich, Natalia M.
2 Martínez-Fernández, Sergio
2 Martins, Ana Paula
2 Mason, David M.
2 Mikosch, Thomas
2 Minelli, Ida Germana
2 Morais, Manuel Cabral
...and 510 more Authors
all top 5

Cited in 157 Serials

44 Stochastic Processes and their Applications
28 Statistics & Probability Letters
18 Extremes
14 Journal of Statistical Planning and Inference
14 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
14 The Annals of Applied Probability
12 The Annals of Probability
12 Journal of Applied Probability
11 Journal of Multivariate Analysis
10 Advances in Applied Probability
10 Journal of Theoretical Probability
9 Queueing Systems
8 Probability Theory and Related Fields
6 Journal of Economic Theory
6 Statistica Neerlandica
5 Transactions of the American Mathematical Society
5 Communications in Statistics. Theory and Methods
5 Probability in the Engineering and Informational Sciences
4 Israel Journal of Mathematics
4 The Annals of Statistics
4 Journal of Mathematical Economics
4 Theoretical Computer Science
4 Insurance Mathematics & Economics
4 Stochastic Analysis and Applications
4 Electronic Journal of Probability
4 Methodology and Computing in Applied Probability
4 Stochastic Models
4 ALEA. Latin American Journal of Probability and Mathematical Statistics
3 Journal of Mathematical Analysis and Applications
3 Journal of Statistical Physics
3 Stochastics
3 Fuzzy Sets and Systems
3 Proceedings of the American Mathematical Society
3 Topology and its Applications
3 Operations Research Letters
3 Economics Letters
3 Test
3 Bernoulli
3 Electronic Journal of Statistics
2 Communications in Mathematical Physics
2 Discrete Applied Mathematics
2 Psychometrika
2 Advances in Mathematics
2 Applied Mathematics and Computation
2 Journal of Econometrics
2 Acta Mathematica Hungarica
2 Sequential Analysis
2 International Journal of Approximate Reasoning
2 SIAM Journal on Discrete Mathematics
2 Random Structures & Algorithms
2 Discrete Event Dynamic Systems
2 European Journal of Operational Research
2 Zeitschrift für Operations Research. Serie A: Theorie
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Journal of Dynamics and Differential Equations
2 Journal of Mathematical Sciences (New York)
2 Economic Theory
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Annales Henri Poincaré
2 Brazilian Journal of Probability and Statistics
2 Journal of Evolution Equations
2 Sankhyā. Series A
1 International Journal of Modern Physics B
1 Computers & Mathematics with Applications
1 Discrete Mathematics
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Nonlinearity
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 The Mathematical Intelligencer
1 Theory of Probability and its Applications
1 Annals of the Institute of Statistical Mathematics
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Blätter (Deutsche Gesellschaft für Versicherungsmathematik)
1 Bulletin of the London Mathematical Society
1 INFOR
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Journal of Soviet Mathematics
1 Kybernetika
1 Mathematics and Computers in Simulation
1 Mathematica Slovaca
1 Mathematische Zeitschrift
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Operations Research
1 Ricerche di Matematica
1 Scandinavian Actuarial Journal
1 Semigroup Forum
1 Siberian Mathematical Journal
1 Trabajos de Estadistica y de Investigacion Operativa
1 Ergodic Theory and Dynamical Systems
1 Systems & Control Letters
1 Zeitschrift für Analysis und ihre Anwendungen
1 Mathematical Social Sciences
1 Journal of Time Series Analysis
1 Acta Applicandae Mathematicae
1 Social Choice and Welfare
1 Statistics
...and 57 more Serials
all top 5

Cited in 36 Fields

338 Probability theory and stochastic processes (60-XX)
108 Statistics (62-XX)
53 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
36 Operations research, mathematical programming (90-XX)
22 Computer science (68-XX)
21 Numerical analysis (65-XX)
19 Measure and integration (28-XX)
18 Combinatorics (05-XX)
14 Dynamical systems and ergodic theory (37-XX)
12 Statistical mechanics, structure of matter (82-XX)
9 Operator theory (47-XX)
9 General topology (54-XX)
7 Ordinary differential equations (34-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
5 Functional analysis (46-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
3 Real functions (26-XX)
3 Approximations and expansions (41-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Quantum theory (81-XX)
3 Biology and other natural sciences (92-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Convex and discrete geometry (52-XX)
1 Number theory (11-XX)
1 Group theory and generalizations (20-XX)
1 Potential theory (31-XX)
1 Partial differential equations (35-XX)
1 Integral transforms, operational calculus (44-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year