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## Bruss, Franz Thomas

Compute Distance To:
 Author ID: bruss.f-thomas Published as: Bruss, F. Thomas; Bruss, F. T. Homepage: http://homepages.ulb.ac.be/~tbruss/ External Links: MGP · Wikidata · GND
 Documents Indexed: 69 Publications since 1978, including 2 Books Reviewing Activity: 49 Reviews Biographic References: 2 Publications
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#### Co-Authors

 33 single-authored 7 Louchard, Guy 6 Ferguson, Thomas S. 3 Samuels, Stephen M. 3 Swan, Yvik C. 2 Delbaen, Freddy 2 Robertson, James B. 2 Rogers, L. C. G. 2 Yor, Marc 1 Drmota, Michael 1 Duerinckx, Mitia 1 Grübel, Rudolf 1 Heyvaert, Marie 1 Jammalamadaka, Sreenivasa Rao 1 Le Cam, Lucien Marie 1 Mahiat, Hervé 1 O’Cinneide, Colm Art 1 Paindaveine, Davy 1 Pierard, Martine 1 Rüschendorf, Ludger 1 Slavtchova-Bojkova, Maroussia Nikiforova 1 Turner, John Wm. 1 Ward, Mark Daniel 1 Zhou, Xian
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#### Serials

 14 Journal of Applied Probability 6 The Mathematical Scientist 6 Stochastic Processes and their Applications 5 The Annals of Probability 5 Annales de la Société Scientifique de Bruxelles. Série I 4 European Mathematical Society Newsletter 3 Advances in Applied Probability 3 The Annals of Applied Probability 3 Spektrum der Wissenschaft 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Cahiers du Centre d’Études de Recherche Opérationnelle 1 Gazette des Mathématiciens 1 Statistics & Probability Letters 1 Communications in Statistics. Stochastic Models 1 Algorithmica 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Contemporary Mathematics 1 Institute of Mathematical Statistics Lecture Notes - Monograph Series 1 Probability Surveys 1 ACM Transactions on Algorithms 1 Mathematica Applicanda
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#### Fields

 57 Probability theory and stochastic processes (60-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Statistics (62-XX) 10 Operations research, mathematical programming (90-XX) 9 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

46 Publications have been cited 300 times in 164 Documents Cited by Year
Sum the odds to one and stop. Zbl 1005.60055
Bruss, F. Thomas
2000
A note on extinction criteria for bisexual Galton-Watson processes. Zbl 0568.60073
Bruss, F. Thomas
1984
A counterpart of the Borel-Cantelli lemma. Zbl 0443.60002
Bruss, F. Thomas
1980
Optimal rules for the sequential selection of monotone subsequences of maximum expected length. Zbl 1005.60056
Bruss, F. Thomas; Delbaen, Freddy
2001
A note on bounds for the odds theorem of optimal stopping. Zbl 1059.60056
Bruss, F. Thomas
2003
‘Wald’s lemma’ for sums of order statistics of i.i.d. random variables. Zbl 0752.62057
Bruss, F. Thomas; Robertson, James B.
1991
On the multiplicity of the maximum in a discrete random sample. Zbl 1038.62047
Bruss, F. Thomas; Grübel, Rudolf
2003
On an optimal selection problem of Cowan and Zabczyk. Zbl 0596.60046
Bruss, F. Thomas
1987
A unified approach to a class of best choice problems with an unknown number of options. Zbl 0553.60047
Bruss, F. Thomas
1984
Selecting a sequence of last successes in independent trials. Zbl 0967.60047
Bruss, F. Thomas; Paindaveine, Davy
2000
A central limit theorem for the optimal selection process for monotone subsequences of maximum expected length. Zbl 1071.60021
Bruss, F. Thomas; Delbaen, Freddy
2004
Multiple buying or selling with vector offers. Zbl 0905.60028
Bruss, F. Thomas; Ferguson, Thomas S.
1997
Pascal processes and their characterization. Zbl 0743.60043
Bruss, F. T.; Rogers, L. C. G.
1991
Embedding optimal selection problems in a Poisson process. Zbl 0745.60040
Bruss, F. Thomas; Rogers, L. C. G.
1991
On waiting times to populate an environment and a question of statistical inference. Zbl 0937.62120
Bruss, F. Thomas; Slavtchova-Bojkova, M.
1999
Minimizing the expected rank with full information. Zbl 0781.60035
Bruss, F. Thomas; Ferguson, Thomas S.
1993
Invariant record processes and applications to best choice modelling. Zbl 0665.60049
Bruss, F. Thomas
1988
What is known about Robbins’ problem? Zbl 1081.62059
Bruss, F. Thomas
2005
On the maximum and its uniqueness for geometric random samples. Zbl 0723.60011
Bruss, F. Thomas; O’Cinneide, Colm Art
1990
Half-prophets and Robbins’ problem of minimizing the expected rank. Zbl 0858.60045
Bruss, F. Thomas; Ferguson, Thomas S.
1996
The odds algorithm based on sequential updating and its performance. Zbl 1169.60006
Bruss, F. Thomas; Louchard, Guy
2009
On the $$N$$-tower problem and related problems. Zbl 1077.60051
Bruss, F. Thomas; Louchard, Guy; Turner, John W.
2003
Branching processes with random absorbing processes. Zbl 0381.60066
Bruss, F. Thomas
1978
A continuous-time approach to Robbins’ problem of minimizing the expected rank. Zbl 1200.62093
Bruss, F. Thomas; Swan, Yvik C.
2009
A unified approach to a class of optimal selection problems with an unknown number of options. Zbl 0592.60034
Bruss, F. Thomas; Samuels, Stephen M.
1987
Conditions for quasi-stationarity of the Bayes rule in selection problems with an unknown number of rankable options. Zbl 0704.62067
Bruss, F. Thomas; Samuels, Stephen M.
1990
On an interval splitting problem. Zbl 0707.60023
Bruss, F. Thomas; Jammalamadaka, S. Rao; Zhou, Xian
1990
Resource dependent branching processes and the envelope of societies. Zbl 1308.60103
Bruss, F. Thomas; Duerinckx, Mitia
2015
Optimal stopping on patterns in strings generated by independent random variables. Zbl 1023.60045
Bruss, F. Thomas; Louchard, Guy
2003
Patterns of relative maxima in random permutations. Zbl 0562.60041
Bruss, F. Thomas
1984
Stochastic processes with proportional increments and the last-arrival problem. Zbl 1255.60166
Bruss, F. Thomas; Yor, Marc
2012
Limits of any society. (Grenzen einer jeden Gesellschaft.) Zbl 1306.91108
Bruss, F. Thomas
2014
Sequential selection of the $$k$$ best out of $$n$$ rankable objects. Zbl 1397.60080
Bruss, F. Thomas; Louchard, Guy
2016
A survey of the linear-search problem. Zbl 0662.90042
Bruss, F. Thomas; Robertson, James B.
1988
The complete solution of the competitive rank selection problem. Zbl 0918.90002
Bruss, F. T.; Drmota, M.; Louchard, G.
1998
High-risk and competitive investment models. Zbl 1005.60054
Bruss, F. Thomas; Ferguson, Thomas S.
2002
Playing a trick on uncertainty. Zbl 1060.90659
Bruss, F. Thomas
2003
Die Kunst der richtigen Entscheidung. Zbl 1060.90661
Bruss, F. Thomas
2005
Advances in best choice modelling. Zbl 1062.90520
Bruss, F. Thomas
1987
The Schwarz-Christoffel transformation as a tool in applied probability. Zbl 1076.60070
Swan, Yvik; Bruss, F. Thomas
2004
Unexpected strategies. (Unerwartete Strategien.) Zbl 1288.91008
Bruss, F. Thomas
1998
Inverse auctions, injecting unique minima into random sets. Zbl 1300.91032
Bruss, F. Thomas; Louchard, Guy; Ward, Mark Daniel
2009
A mathematical approach to comply with ethical constraints in compassionate use treatments. Zbl 1414.60027
Bruss, F. Thomas
2018
A matrix-analytic approach to the $$N$$-player ruin problem. Zbl 1137.60035
Swan, Yvik C.; Bruss, F. Thomas
2006
On a class of optimal stopping problems with mixed constraints. Zbl 1296.60099
Bruss, F. Thomas
2010
Odds-theorem and monotonicity. Zbl 1463.60063
Bruss, F. Thomas
2019
Odds-theorem and monotonicity. Zbl 1463.60063
Bruss, F. Thomas
2019
A mathematical approach to comply with ethical constraints in compassionate use treatments. Zbl 1414.60027
Bruss, F. Thomas
2018
Sequential selection of the $$k$$ best out of $$n$$ rankable objects. Zbl 1397.60080
Bruss, F. Thomas; Louchard, Guy
2016
Resource dependent branching processes and the envelope of societies. Zbl 1308.60103
Bruss, F. Thomas; Duerinckx, Mitia
2015
Limits of any society. (Grenzen einer jeden Gesellschaft.) Zbl 1306.91108
Bruss, F. Thomas
2014
Stochastic processes with proportional increments and the last-arrival problem. Zbl 1255.60166
Bruss, F. Thomas; Yor, Marc
2012
On a class of optimal stopping problems with mixed constraints. Zbl 1296.60099
Bruss, F. Thomas
2010
The odds algorithm based on sequential updating and its performance. Zbl 1169.60006
Bruss, F. Thomas; Louchard, Guy
2009
A continuous-time approach to Robbins’ problem of minimizing the expected rank. Zbl 1200.62093
Bruss, F. Thomas; Swan, Yvik C.
2009
Inverse auctions, injecting unique minima into random sets. Zbl 1300.91032
Bruss, F. Thomas; Louchard, Guy; Ward, Mark Daniel
2009
A matrix-analytic approach to the $$N$$-player ruin problem. Zbl 1137.60035
Swan, Yvik C.; Bruss, F. Thomas
2006
What is known about Robbins’ problem? Zbl 1081.62059
Bruss, F. Thomas
2005
Die Kunst der richtigen Entscheidung. Zbl 1060.90661
Bruss, F. Thomas
2005
A central limit theorem for the optimal selection process for monotone subsequences of maximum expected length. Zbl 1071.60021
Bruss, F. Thomas; Delbaen, Freddy
2004
The Schwarz-Christoffel transformation as a tool in applied probability. Zbl 1076.60070
Swan, Yvik; Bruss, F. Thomas
2004
A note on bounds for the odds theorem of optimal stopping. Zbl 1059.60056
Bruss, F. Thomas
2003
On the multiplicity of the maximum in a discrete random sample. Zbl 1038.62047
Bruss, F. Thomas; Grübel, Rudolf
2003
On the $$N$$-tower problem and related problems. Zbl 1077.60051
Bruss, F. Thomas; Louchard, Guy; Turner, John W.
2003
Optimal stopping on patterns in strings generated by independent random variables. Zbl 1023.60045
Bruss, F. Thomas; Louchard, Guy
2003
Playing a trick on uncertainty. Zbl 1060.90659
Bruss, F. Thomas
2003
High-risk and competitive investment models. Zbl 1005.60054
Bruss, F. Thomas; Ferguson, Thomas S.
2002
Optimal rules for the sequential selection of monotone subsequences of maximum expected length. Zbl 1005.60056
Bruss, F. Thomas; Delbaen, Freddy
2001
Sum the odds to one and stop. Zbl 1005.60055
Bruss, F. Thomas
2000
Selecting a sequence of last successes in independent trials. Zbl 0967.60047
Bruss, F. Thomas; Paindaveine, Davy
2000
On waiting times to populate an environment and a question of statistical inference. Zbl 0937.62120
Bruss, F. Thomas; Slavtchova-Bojkova, M.
1999
The complete solution of the competitive rank selection problem. Zbl 0918.90002
Bruss, F. T.; Drmota, M.; Louchard, G.
1998
Unexpected strategies. (Unerwartete Strategien.) Zbl 1288.91008
Bruss, F. Thomas
1998
Multiple buying or selling with vector offers. Zbl 0905.60028
Bruss, F. Thomas; Ferguson, Thomas S.
1997
Half-prophets and Robbins’ problem of minimizing the expected rank. Zbl 0858.60045
Bruss, F. Thomas; Ferguson, Thomas S.
1996
Minimizing the expected rank with full information. Zbl 0781.60035
Bruss, F. Thomas; Ferguson, Thomas S.
1993
‘Wald’s lemma’ for sums of order statistics of i.i.d. random variables. Zbl 0752.62057
Bruss, F. Thomas; Robertson, James B.
1991
Pascal processes and their characterization. Zbl 0743.60043
Bruss, F. T.; Rogers, L. C. G.
1991
Embedding optimal selection problems in a Poisson process. Zbl 0745.60040
Bruss, F. Thomas; Rogers, L. C. G.
1991
On the maximum and its uniqueness for geometric random samples. Zbl 0723.60011
Bruss, F. Thomas; O&rsquo;Cinneide, Colm Art
1990
Conditions for quasi-stationarity of the Bayes rule in selection problems with an unknown number of rankable options. Zbl 0704.62067
Bruss, F. Thomas; Samuels, Stephen M.
1990
On an interval splitting problem. Zbl 0707.60023
Bruss, F. Thomas; Jammalamadaka, S. Rao; Zhou, Xian
1990
Invariant record processes and applications to best choice modelling. Zbl 0665.60049
Bruss, F. Thomas
1988
A survey of the linear-search problem. Zbl 0662.90042
Bruss, F. Thomas; Robertson, James B.
1988
On an optimal selection problem of Cowan and Zabczyk. Zbl 0596.60046
Bruss, F. Thomas
1987
A unified approach to a class of optimal selection problems with an unknown number of options. Zbl 0592.60034
Bruss, F. Thomas; Samuels, Stephen M.
1987
Advances in best choice modelling. Zbl 1062.90520
Bruss, F. Thomas
1987
A note on extinction criteria for bisexual Galton-Watson processes. Zbl 0568.60073
Bruss, F. Thomas
1984
A unified approach to a class of best choice problems with an unknown number of options. Zbl 0553.60047
Bruss, F. Thomas
1984
Patterns of relative maxima in random permutations. Zbl 0562.60041
Bruss, F. Thomas
1984
A counterpart of the Borel-Cantelli lemma. Zbl 0443.60002
Bruss, F. Thomas
1980
Branching processes with random absorbing processes. Zbl 0381.60066
Bruss, F. Thomas
1978
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#### Cited by 173 Authors

 23 Molina, Manuel 19 Mota, Manuel 18 Bruss, Franz Thomas 14 Gonzalez-Velasco, Miguel 13 Ramos, Alfonso 12 del Puerto, Inés Maria 8 Arlotto, Alessandro 7 Steele, J. Michael 7 Tamaki, Mitsushi 6 Gnedin, Alexander V. 5 Ano, Katsunori 4 Alsmeyer, Gerold 4 Dembińska, Anna 4 Grau, José María 4 Grübel, Rudolf 4 Louchard, Guy 4 Martínez, Rodrigo 3 Krasnosielska-Kobos, Anna 3 Mazalov, Vladimir Viktorovich 3 Pitman, Jim William 3 Rüschendorf, Ludger 2 Allaart, Pieter C. 2 Corbacho, Casimiro 2 Delbaen, Freddy 2 Faller, Andreas 2 Hitczenko, Paweł 2 Itoh, Yoshiaki 2 Jasiński, Krzysztof 2 Kabluchko, Zakhar A. 2 Kurushima, Aiko 2 Lytvynov, Eugene W. 2 Ma, Shixia 2 Mahmoud, Hosam M. 2 Matsui, Tomomi 2 Minuesa, Carmen 2 Rogers, L. C. G. 2 Rösler, Uwe 2 Seksenbayev, Amirlan 2 Sofronov, Georgy Yu. 2 Stadje, Wolfgang 2 Swan, Yvik C. 1 Acosta, A. Pascual 1 Alpern, Steve 1 Anagnostopoulos, Aris 1 Baker, David M. 1 Barranco-Chamorro, Inmaculada 1 Baryshnikov, Yuliy M. 1 Bayón, Luis 1 Bayraktar, Erhan 1 Beck, Anatole 1 Beckmann, Martin J. 1 Ben Abdelaziz, Fouad 1 Bíró, Csaba 1 Browne, Sid 1 Bunge, J. A. 1 Bunge, John 1 Cain, Nicholas 1 Chen, Robert W. 1 Christensen, Soren 1 Conceição Serra, Maria 1 Darji, Udayan B. 1 David, Israel 1 Deheuvels, Paul 1 Dendievel, Rémi 1 Dennert, Florian 1 Dizon-Ross, Rebecca 1 Doumerc, Yan 1 Drmota, Michael 1 Duerinckx, Mitia 1 Eaton, Julia 1 Egozcue, Martin 1 Eisenberg, Bennett 1 Fal’ko, I. A. 1 Feldheim, Naomi Dvora 1 Feldheim, Ohad Noy 1 Feldman, William M. 1 Ferenstein, Elżbieta Z. 1 Ferguson, Thomas S. 1 Fiat, Amos 1 Flesch, Janos 1 Fortuny, P. 1 Fuchs, Michael 1 Gans, Noah 1 Glickman, Hagit 1 Godbole, Anant P. 1 Goldenshluger, Alexander 1 Gorelik, Ilia 1 Gouet, Raúl 1 Grandoni, Fabrizio 1 Gurvich, Itai 1 Gutiérrez, Cristina 1 Haslegrave, John 1 Hsiau, Shoou-Ren 1 Hull, David M. 1 Hwang, Hsien-Kuei 1 Irle, Albrecht 1 Islas, José A. 1 Iung, Benoît 1 Ivashko, Anna Antonovna 1 Jacob, Christine ...and 73 more Authors
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#### Cited in 67 Serials

 24 Journal of Applied Probability 15 Stochastic Processes and their Applications 13 Statistics & Probability Letters 7 Advances in Applied Probability 7 The Annals of Applied Probability 4 Mathematical Biosciences 4 Journal of Statistical Planning and Inference 4 European Journal of Operational Research 4 Bernoulli 3 The Annals of Probability 3 Stochastic Analysis and Applications 3 Statistics 3 Test 3 Methodology and Computing in Applied Probability 2 Optimization 2 Sequential Analysis 2 Communications in Statistics. Theory and Methods 2 Combinatorics, Probability and Computing 2 Journal of Combinatorial Optimization 2 Stochastics 2 Probability Surveys 2 Journal of Theoretical Biology 2 Stochastic Systems 2 Mathematica Applicanda 1 Computers & Mathematics with Applications 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Biology 1 Metrika 1 Journal of Functional Analysis 1 Journal of Soviet Mathematics 1 Mathematics of Operations Research 1 Operations Research 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Semigroup Forum 1 Theoretical Population Biology 1 Transactions of the American Mathematical Society 1 Journal of Information & Optimization Sciences 1 International Journal of Production Research 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Algorithmica 1 Annals of Operations Research 1 Random Structures & Algorithms 1 Neural Computation 1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Computational Statistics and Data Analysis 1 ZOR. Zeitschrift für Operations Research 1 Journal of Computer and Systems Sciences International 1 Theory of Probability and Mathematical Statistics 1 Statistical Papers 1 Journal of Mathematical Sciences (New York) 1 Mathematical Finance 1 Annals of Combinatorics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Australian & New Zealand Journal of Statistics 1 Probability in the Engineering and Informational Sciences 1 Stochastic Models 1 Journal of Statistical Mechanics: Theory and Experiment 1 Proceedings of the Steklov Institute of Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Dynamic Games and Applications 1 Journal of Statistical Distributions and Applications
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#### Cited in 18 Fields

 144 Probability theory and stochastic processes (60-XX) 52 Statistics (62-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Operations research, mathematical programming (90-XX) 12 Biology and other natural sciences (92-XX) 8 Combinatorics (05-XX) 6 Computer science (68-XX) 3 Numerical analysis (65-XX) 3 Systems theory; control (93-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Fluid mechanics (76-XX)

#### Wikidata Timeline

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