Edit Profile (opens in new tab) O’Brien, George L. Co-Author Distance Author ID: obrien.george-l Published as: O’Brien, G. L.; O’Brien, George L.; O’Brien, George more...less External Links: MGP Documents Indexed: 49 Publications since 1972 Co-Authors: 16 Co-Authors with 22 Joint Publications 457 Co-Co-Authors all top 5 Co-Authors 27 single-authored 7 Vervaat, Wim 2 Doney, Ronald Arthur 2 Keane, Michael S. 1 Burton, Robert M. jun. 1 Denzel, G. E. 1 Jinag, Tiefeng 1 Kesten, Harry 1 Krengel, Ulrich 1 Lamperti, John W. 1 McLeish, Donald L. 1 Scarsini, Marco 1 Steutel, Fred Willem 1 Sun, Jiaming 1 Torfs, Paul J. J. F. 1 Watson, William Stephen 1 Wong, Augustine C. M. all top 5 Serials 10 The Annals of Probability 6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Journal of Applied Probability 3 Journal of Theoretical Probability 2 Mathematics of Operations Research 2 Statistica Neerlandica 2 Stochastic Processes and their Applications 1 The Canadian Journal of Statistics 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Stochastics 1 Canadian Journal of Mathematics 1 Commentationes Mathematicae Universitatis Carolinae 1 Duke Mathematical Journal 1 Indagationes Mathematicae 1 Pacific Journal of Mathematics 1 Statistics & Probability Letters 1 Probability and Mathematical Statistics 1 Probability Theory and Related Fields 1 The Annals of Applied Probability 1 Aequationes Mathematicae 1 Indagationes Mathematicae. New Series 1 ACM Transactions on Modeling and Computer Simulation 1 Annals of Mathematical Statistics all top 5 Fields 41 Probability theory and stochastic processes (60-XX) 6 Statistics (62-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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