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## Simons, Gordon

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 Author ID: simons.gordon Published as: Simons, Gordon; Simons, G. Homepage: http://stat-or.unc.edu/people/emeritus/gordon-simons External Links: MGP · ResearchGate · dblp
 Documents Indexed: 61 Publications since 1967, including 1 Book
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#### Co-Authors

 20 single-authored 11 Yao, Yi-Ching 8 Csörgő, Sándor 4 Cambanis, Stamatis 3 Stout, William F. 2 Eisenberg, Bennett 2 Morton, Glenn 2 Wu, Xizhi 1 Basu, Sujit Kumar 1 Bather, John A. 1 Evans, Ralph A. 1 Feder, Paul I. 1 Ghosh, Bhaskar Kumar 1 Hall, James W. 1 Hoeffding, Wassily 1 Huang, Steel T. 1 Johnson, Norman Lloyd 1 Keener, Robert W. 1 Kelly, Douglas G. 1 Libbus, Bisharah 1 Ma, Yi-Wen 1 Podgórski, Krzysztof 1 Robbins, Herbert Ellis 1 Rootzén, Holger 1 Shepp, Lawrence Alan 1 Siegmund, David O. 1 Starr, Norman 1 Woodroofe, Michael Barrett 1 Yang, Lijian
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#### Serials

 10 Annals of Mathematical Statistics 8 The Annals of Statistics 6 Statistics & Probability Letters 5 The Annals of Probability 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Advances in Applied Probability 2 Periodica Mathematica Hungarica 2 Journal of Multivariate Analysis 2 Journal of Statistical Planning and Inference 2 Sequential Analysis 2 The Annals of Applied Probability 1 American Mathematical Monthly 1 The American Statistician 1 IEEE Transactions on Information Theory 1 Sankhyā. Series A. Methods and Techniques 1 Probability and Mathematical Statistics 1 Random Structures & Algorithms 1 Journal of the Royal Statistical Society. Series B 1 Linear Algebra and its Applications 1 Stochastic Processes and their Applications 1 Bernoulli 1 Journal of Theoretical Biology
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#### Fields

 36 Probability theory and stochastic processes (60-XX) 24 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

49 Publications have been cited 598 times in 565 Documents Cited by Year
On the theory of elliptically contoured distributions. Zbl 0469.60019
Cambanis, Stamatis; Huang, Steel; Simons, Gordon
1981
Inequalities for Ek(X,Y) when the marginals are fixed. Zbl 0325.60002
Cambanis, Stamatis; Simons, Gordon; Stout, William
1976
A sequential analogue of the Behrens-Fisher problem. Zbl 0157.48105
Robbins, H.; Simons, G.; Starr, N.
1967
On alpha-symmetric multivariate distributions. Zbl 0513.60024
Cambanis, Stamatis; Keener, Robert; Simons, Gordon
1983
On the cost of not knowing the variance when making a fixed-width confidence interval for the mean. Zbl 0187.15805
Simons, G.
1968
A strong law of large numbers for trimmed sums, with applications to generalized St. Petersburg games. Zbl 0859.60030
Csörgö, Sándor; Simons, Gordon
1996
Asymptotics when the number of parameters tends to infinity in the Bradley-Terry model for paired comparisons. Zbl 0951.62061
Simons, Gordon; Yao, Yi-Ching
1999
A weak invariance principle with applications to domains of attraction. Zbl 0376.60027
Simons, Gordon; Stout, William
1978
Properties of generalized sequential probability ratio tests. Zbl 0323.62053
Eisenberg, Bennett; Ghosh, B. K.; Simons, Gordon
1976
Pooling strategies for St. Petersburg gamblers. Zbl 1130.91018
Csörgő, Sándor; Simons, Gordon
2006
Lower bounds for average sample number of sequential multihypothesis tests. Zbl 0178.22103
Simons, G.
1967
On the convergence of binomial to Poisson distributions. Zbl 0235.60033
Simons, Gordon; Johnson, N. L.
1971
On a problem of ammunition rationing. Zbl 0719.90529
Shepp, Lawrence A.; Simons, Gordon; Yao, Yiching
1991
Some results on the bomber problem. Zbl 0695.90053
Simons, Gordon; Yao, Yi-Ching
1990
Probability and expectation inequalities. Zbl 0489.60022
Cambanis, Stamatis; Simons, Gordon
1982
Approximating the inverse of a symmetric positive definite matrix. Zbl 0936.15005
Simons, Gordon; Yao, Yi-Ching
1998
On Steinhaus’ resolution of the St. Petersburg paradox. Zbl 0847.60006
Csörgö, Sándor; Simons, Gordon
1993
Bayes rules for a clinical-trials model with dichotomous responses. Zbl 0602.62068
Simons, Gordon
1986
A discrete analogue and elementary derivation of ’Levy’s equivalence’ for Brownian motion. Zbl 0515.60082
Simons, Gordon
1983
On characterizations of the gamma distribution. Zbl 0206.19603
Hall, J. W.; Simons, G.
1969
On weak admissibility of tests. Zbl 0377.62003
Eisenberg, Bennett; Simons, Gordon
1978
A large-dimensional independent and identically distributed property for nearest neighbor counts in Poisson processes. Zbl 0870.60045
Yao, Yi-Ching; Simons, Gordon
1996
Moment spaces for IFR distributions, applications and related material. Zbl 0525.62022
Basu, Sujit K.; Simons, Gordon
1983
Research on statistical procedures in reliability engineering. Zbl 0307.62061
Evans, Ralph A.; Simons, Gordon
1975
Laws of large numbers for cooperative St. Petersburg gamblers. Zbl 1113.60026
Csörgő, Sándor; Simons, Gordon
2005
An unexpected expectation. Zbl 0362.60034
Simons, Gordon
1977
The two-Paul paradox and the comparison of infinite expectations. Zbl 1027.60030
Csörgő, S.; Simons, G.
2002
Global Markov models for eukaryote nucleotide data. Zbl 1089.92016
Simons, Gordon; Yao, Yi-Ching; Morton, Glenn
2005
A class of sequential procedures for choosing one of K hypotheses concerning the unknown drift parameter of the Wiener process. Zbl 0155.25403
Simons, G.
1967
A sequential three hypothesis test for determining the mean of a normal population with known variance. Zbl 0161.38601
Simons, G.
1967
Weak laws of large numbers for cooperative gamblers. Zbl 1386.60083
Csörgő, Sándor; Simons, Gordon
2008
An improved statement of optimality for sequential probability ratio tests. Zbl 0346.62059
Simons, Gordon
1976
Asymptotic sine laws arising from alternating random permutations and sequences. Zbl 0840.60017
Simons, Gordon; Yao, Yi-Ching
1996
Precision calculation of distributions for trimmed sums. Zbl 0846.60018
Csörgö, Sándor; Simons, Gordon
1995
Sequential tests for the drift of a Wiener process with a smooth prior, and the heat equation. Zbl 0686.62055
Simons, Gordon; Yao, Yi-Ching; Wu, Xizhi
1989
Existence of optimal stopping rules for rewards related to $$S_{n}/n$$. Zbl 0182.52202
Siegmund, D.; Simons, G.; Feder, P.
1968
Unbiased coin tossing with a biased coin. Zbl 0194.49301
Hoeffding, W.; Simons, G.
1970
On the exponential boundedness of stopping times of invariant SPRT’S. Zbl 0364.62082
Rootzen, Holger; Simons, Gordon
1977
Weak convergence to stable laws by means of a weak invariance principle. Zbl 0369.60013
Simons, Gordon; Stout, William
1976
Doob, Ignatov and optional skipping. Zbl 1040.60034
Simons, Gordon; Yao, Yi-Ching; Yang, Lijian
2002
Easily determining which urns are ’favorable’. Zbl 0613.62106
Simons, Gordon
1987
A comparison of seven allocation rules for a clinical trial model. Zbl 0617.62088
Simons, Gordon
1986
A random horizon model for sequential clinical trials. Zbl 0667.62060
Simons, Gordon
1989
Optimally stopping the sample mean of a Wiener process with an unknown drift. Zbl 0675.60038
Simons, Gordon; Yao, Yi-Ching
1989
Markov processes with infinitely divisible limit distributions: some examples. Zbl 0679.60068
Kelly, Douglas; Simons, Gordon
1989
On Bayes tests for p$$\leq$$ versus $$p>:$$ Analytic approximations. Zbl 0681.62064
Simons, Gordon; Wu, Xizhi
1986
Sequential estimators and the Cramer-Rao lower bound. Zbl 0454.62077
Simons, Gordon
1980
St. Petersburg games with the largest gains withheld. Zbl 1120.60018
Csörgő, Sándor; Simons, Gordon
2007
A martingale decomposition theorem. Zbl 0201.19502
Simons, G.
1970
Weak laws of large numbers for cooperative gamblers. Zbl 1386.60083
Csörgő, Sándor; Simons, Gordon
2008
St. Petersburg games with the largest gains withheld. Zbl 1120.60018
Csörgő, Sándor; Simons, Gordon
2007
Pooling strategies for St. Petersburg gamblers. Zbl 1130.91018
Csörgő, Sándor; Simons, Gordon
2006
Laws of large numbers for cooperative St. Petersburg gamblers. Zbl 1113.60026
Csörgő, Sándor; Simons, Gordon
2005
Global Markov models for eukaryote nucleotide data. Zbl 1089.92016
Simons, Gordon; Yao, Yi-Ching; Morton, Glenn
2005
The two-Paul paradox and the comparison of infinite expectations. Zbl 1027.60030
Csörgő, S.; Simons, G.
2002
Doob, Ignatov and optional skipping. Zbl 1040.60034
Simons, Gordon; Yao, Yi-Ching; Yang, Lijian
2002
Asymptotics when the number of parameters tends to infinity in the Bradley-Terry model for paired comparisons. Zbl 0951.62061
Simons, Gordon; Yao, Yi-Ching
1999
Approximating the inverse of a symmetric positive definite matrix. Zbl 0936.15005
Simons, Gordon; Yao, Yi-Ching
1998
A strong law of large numbers for trimmed sums, with applications to generalized St. Petersburg games. Zbl 0859.60030
Csörgö, Sándor; Simons, Gordon
1996
A large-dimensional independent and identically distributed property for nearest neighbor counts in Poisson processes. Zbl 0870.60045
Yao, Yi-Ching; Simons, Gordon
1996
Asymptotic sine laws arising from alternating random permutations and sequences. Zbl 0840.60017
Simons, Gordon; Yao, Yi-Ching
1996
Precision calculation of distributions for trimmed sums. Zbl 0846.60018
Csörgö, Sándor; Simons, Gordon
1995
On Steinhaus’ resolution of the St. Petersburg paradox. Zbl 0847.60006
Csörgö, Sándor; Simons, Gordon
1993
On a problem of ammunition rationing. Zbl 0719.90529
Shepp, Lawrence A.; Simons, Gordon; Yao, Yiching
1991
Some results on the bomber problem. Zbl 0695.90053
Simons, Gordon; Yao, Yi-Ching
1990
Sequential tests for the drift of a Wiener process with a smooth prior, and the heat equation. Zbl 0686.62055
Simons, Gordon; Yao, Yi-Ching; Wu, Xizhi
1989
A random horizon model for sequential clinical trials. Zbl 0667.62060
Simons, Gordon
1989
Optimally stopping the sample mean of a Wiener process with an unknown drift. Zbl 0675.60038
Simons, Gordon; Yao, Yi-Ching
1989
Markov processes with infinitely divisible limit distributions: some examples. Zbl 0679.60068
Kelly, Douglas; Simons, Gordon
1989
Easily determining which urns are ’favorable’. Zbl 0613.62106
Simons, Gordon
1987
Bayes rules for a clinical-trials model with dichotomous responses. Zbl 0602.62068
Simons, Gordon
1986
A comparison of seven allocation rules for a clinical trial model. Zbl 0617.62088
Simons, Gordon
1986
On Bayes tests for p$$\leq$$ versus $$p>:$$ Analytic approximations. Zbl 0681.62064
Simons, Gordon; Wu, Xizhi
1986
On alpha-symmetric multivariate distributions. Zbl 0513.60024
Cambanis, Stamatis; Keener, Robert; Simons, Gordon
1983
A discrete analogue and elementary derivation of ’Levy’s equivalence’ for Brownian motion. Zbl 0515.60082
Simons, Gordon
1983
Moment spaces for IFR distributions, applications and related material. Zbl 0525.62022
Basu, Sujit K.; Simons, Gordon
1983
Probability and expectation inequalities. Zbl 0489.60022
Cambanis, Stamatis; Simons, Gordon
1982
On the theory of elliptically contoured distributions. Zbl 0469.60019
Cambanis, Stamatis; Huang, Steel; Simons, Gordon
1981
Sequential estimators and the Cramer-Rao lower bound. Zbl 0454.62077
Simons, Gordon
1980
A weak invariance principle with applications to domains of attraction. Zbl 0376.60027
Simons, Gordon; Stout, William
1978
On weak admissibility of tests. Zbl 0377.62003
Eisenberg, Bennett; Simons, Gordon
1978
An unexpected expectation. Zbl 0362.60034
Simons, Gordon
1977
On the exponential boundedness of stopping times of invariant SPRT’S. Zbl 0364.62082
Rootzen, Holger; Simons, Gordon
1977
Inequalities for Ek(X,Y) when the marginals are fixed. Zbl 0325.60002
Cambanis, Stamatis; Simons, Gordon; Stout, William
1976
Properties of generalized sequential probability ratio tests. Zbl 0323.62053
Eisenberg, Bennett; Ghosh, B. K.; Simons, Gordon
1976
An improved statement of optimality for sequential probability ratio tests. Zbl 0346.62059
Simons, Gordon
1976
Weak convergence to stable laws by means of a weak invariance principle. Zbl 0369.60013
Simons, Gordon; Stout, William
1976
Research on statistical procedures in reliability engineering. Zbl 0307.62061
Evans, Ralph A.; Simons, Gordon
1975
On the convergence of binomial to Poisson distributions. Zbl 0235.60033
Simons, Gordon; Johnson, N. L.
1971
Unbiased coin tossing with a biased coin. Zbl 0194.49301
Hoeffding, W.; Simons, G.
1970
A martingale decomposition theorem. Zbl 0201.19502
Simons, G.
1970
On characterizations of the gamma distribution. Zbl 0206.19603
Hall, J. W.; Simons, G.
1969
On the cost of not knowing the variance when making a fixed-width confidence interval for the mean. Zbl 0187.15805
Simons, G.
1968
Existence of optimal stopping rules for rewards related to $$S_{n}/n$$. Zbl 0182.52202
Siegmund, D.; Simons, G.; Feder, P.
1968
A sequential analogue of the Behrens-Fisher problem. Zbl 0157.48105
Robbins, H.; Simons, G.; Starr, N.
1967
Lower bounds for average sample number of sequential multihypothesis tests. Zbl 0178.22103
Simons, G.
1967
A class of sequential procedures for choosing one of K hypotheses concerning the unknown drift parameter of the Wiener process. Zbl 0155.25403
Simons, G.
1967
A sequential three hypothesis test for determining the mean of a normal population with known variance. Zbl 0161.38601
Simons, G.
1967
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#### Cited by 687 Authors

 30 Hashorva, Enkelejd 21 Mukhopadhyay, Nitis 13 Arellano-Valle, Reinaldo Boris 11 Simons, Gordon 9 Jamalizadeh, Ahad 9 Rachev, Svetlozar T. 8 Balakrishnan, Narayanaswamy 8 Csörgő, Sándor 8 Fang, Kai-Tai 8 Rüschendorf, Ludger 7 Berkes, István 7 Kevei, Péter 7 Misiewicz, Jolanta K. 6 Fotopoulos, Stergios B. 6 Galea, Manuel 6 Gupta, Arjun Kumar 6 Rekab, Kamel 5 Bentler, Peter M. 5 Frahm, Gabriel 5 Jensen, Donald R. 5 Samuel-Cahn, Ester 4 Bartroff, Jay 4 Cheong, Young-Ho 4 Cysneiros, Francisco José A. 4 Denuit, Michel M. 4 Gómez, Héctor W. 4 Grane, Aurea 4 Gut, Allan 4 Hamdy, Hosny I. 4 Huang, Wen-Jang 4 Nagao, Hisao 4 Provost, Serge B. 4 Scarsini, Marco 4 Valdez, Emiliano A. 4 Yao, Yi-Ching 4 zu Castell, Wolfgang 3 Ansari, Jonathan 3 Bolfarine, Heleno 3 Cambanis, Stamatis 3 Čekanavičius, Vydas 3 Chaturvedi, Ajit Kumar 3 Cordeiro, Gauss Moutinho 3 Eisenberg, Bennett 3 Fabozzi, Frank J. 3 Genton, Marc G. 3 Györfi, László 3 Horváth, Lajos 3 Lai, Tze Leung 3 Landsman, Zinoviy M. 3 Lefèvre, Claude 3 Ma, Chunsheng 3 Martin-Löf, Anders 3 Mason, David M. 3 Mitra, Murari 3 Paula, Gilberto A. 3 Regazzini, Eugenio 3 Richards, Donald St. P. 3 Richter, Wolf-Dieter 3 Sen, Pranab Kumar 3 Seneta, Eugene 3 Szabłowski, Paweł Jerzy 3 Touboul, Jacques 3 Usseglio-Carleve, Antoine 3 Varga, Tamas 3 Wang, Ruodu 3 Yan, Ting 2 Abid, A. D. 2 Ahn, Jae Youn 2 Aoshima, Makoto 2 Arashi, Mohammad 2 Baldi Antognini, Alessandro 2 Berens, Hubert Anton 2 Berkane, Maia 2 Bhattacharyya, Dhrubasish 2 Bobkov, Sergey Germanovich 2 Cacoullos, Theophilos 2 Capéraà, Philippe 2 Carlier, Guillaume 2 Chatterjee, Sourav 2 Chen, Kani 2 Cifarelli, Donato Michele 2 Csörgő, Miklós 2 Czado, Claudia 2 Dana, Rose-Anne 2 Darkhovsky, Boris S. 2 Del Pino, Guido E. 2 Díaz-García, José Antonio 2 Dmitrienko, Alexei 2 Eisele, Jeffrey R. 2 Falk, Michael 2 Fan, Yanqin 2 Fang, Biqi 2 Fort, Jean-Claude 2 Fortiana, Josep 2 Framstad, Nils Chr. 2 Frees, Edward W. 2 Ghosh, Bhaskar Kumar 2 Ghossoub, Mario 2 Gimenez, Patricia 2 Gneiting, Tilmann ...and 587 more Authors
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#### Cited in 133 Serials

 71 Journal of Multivariate Analysis 55 Statistics & Probability Letters 40 Sequential Analysis 35 Communications in Statistics. Theory and Methods 24 Journal of Statistical Planning and Inference 13 Annals of the Institute of Statistical Mathematics 12 Metrika 11 Insurance Mathematics & Economics 11 Journal of Theoretical Probability 10 The Annals of Statistics 9 Computational Statistics and Data Analysis 9 Bernoulli 8 The Canadian Journal of Statistics 8 Statistics 8 Stochastic Processes and their Applications 7 Advances in Applied Probability 7 Journal of Econometrics 7 Journal of Soviet Mathematics 6 Acta Mathematicae Applicatae Sinica. English Series 6 Extremes 6 Electronic Journal of Statistics 5 Computers & Mathematics with Applications 5 Journal of Mathematical Analysis and Applications 5 Journal of Applied Probability 4 Periodica Mathematica Hungarica 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Advances in Applied Mathematics 4 Stochastic Analysis and Applications 4 American Journal of Mathematical and Management Sciences 4 Probability Theory and Related Fields 4 Communications in Statistics. Simulation and Computation 4 Linear Algebra and its Applications 4 Methodology and Computing in Applied Probability 4 Econometric Theory 4 Quantitative Finance 4 ASTIN Bulletin 4 Statistical Methodology 3 Journal of Mathematical Economics 3 Scandinavian Actuarial Journal 3 Acta Mathematica Hungarica 3 Statistical Science 3 Statistical Papers 3 International Journal of Theoretical and Applied Finance 3 Journal of Machine Learning Research (JMLR) 3 Journal of Statistical Theory and Practice 3 Journal of the Italian Statistical Society 2 Discrete Applied Mathematics 2 Applied Mathematics and Computation 2 Journal of the American Statistical Association 2 Mathematics of Operations Research 2 Metron 2 Transactions of the American Mathematical Society 2 Econometric Reviews 2 Annals of Operations Research 2 Economics Letters 2 The Annals of Applied Probability 2 European Journal of Operational Research 2 Journal of Statistical Computation and Simulation 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 RAIRO. Informatique Théorique et Applications 2 Mathematical Programming. Series A. Series B 2 Test 2 Stochastics and Dynamics 2 North American Actuarial Journal 2 Dependence Modeling 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Discrete Mathematics 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Biosciences 1 Psychometrika 1 Rocky Mountain Journal of Mathematics 1 Scandinavian Journal of Statistics 1 Stochastics 1 Theory of Probability and its Applications 1 The Annals of Probability 1 Blätter (Deutsche Gesellschaft für Versicherungsmathematik) 1 Demonstratio Mathematica 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Economic Theory 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 1 Journal of Information & Optimization Sciences 1 Operations Research Letters 1 Journal of Time Series Analysis 1 Journal of Economics 1 Discrete & Computational Geometry 1 Journal of Economic Dynamics & Control 1 Applied Mathematics Letters 1 Queueing Systems 1 Random Structures & Algorithms 1 Numerical Algorithms ...and 33 more Serials
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#### Cited in 30 Fields

 402 Statistics (62-XX) 216 Probability theory and stochastic processes (60-XX) 55 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 35 Numerical analysis (65-XX) 14 Operations research, mathematical programming (90-XX) 12 Special functions (33-XX) 11 Real functions (26-XX) 10 Combinatorics (05-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Computer science (68-XX) 6 History and biography (01-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Measure and integration (28-XX) 6 Functional analysis (46-XX) 5 Biology and other natural sciences (92-XX) 4 Number theory (11-XX) 4 Abstract harmonic analysis (43-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Convex and discrete geometry (52-XX) 4 Systems theory; control (93-XX) 3 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Information and communication theory, circuits (94-XX)