## Bedford, Tim

Compute Distance To:
 Author ID: bedford.tim Published as: Bedford, Tim; Bedford, T.
 Documents Indexed: 37 Publications since 1986, including 1 Book 4 Contributions as Editor Reviewing Activity: 2 Reviews Co-Authors: 29 Co-Authors with 28 Joint Publications 595 Co-Co-Authors
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### Co-Authors

 10 single-authored 7 Cooke, Roger Marvin 4 Fisher, Albert Meads 3 Meilijson, Isaac 3 Quigley, John M. 2 Alkali, Babakalli M. 2 Keane, Michael S. 2 Urbański, Mariusz 2 Walls, Lesley 1 Barlow, Euan 1 Belton, Valerie 1 Borodachov, Sergiy V. 1 Daneshkhah, Alireza 1 Dekking, Frederik Michel 1 Dewan, Isha 1 Gaw, Jim 1 Geronimo, Jeffrey S. 1 Hanea, Anca Maria 1 Hardman, Gavin 1 Kamae, Teturo 1 Kraan, Bernd 1 Lindqvist, Bo Henry 1 Meeuwissen, A. M. H. 1 Morales-Nápoles, Oswaldo 1 Norstrøm, Jan G. 1 Pisinger, David 1 Revie, Matthew 1 Series, Caroline 1 van den Berg, Rob 1 Werner, Christoph 1 Wilson, Kevin James 1 Zhang, Mimi 1 Zitrou, Athena
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### Serials

 5 European Journal of Operational Research 3 Ergodic Theory and Dynamical Systems 2 Advances in Applied Probability 2 The Annals of Statistics 2 Journal of Statistical Planning and Inference 2 Proceedings of the London Mathematical Society. Third Series 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Annals of the Institute of Statistical Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Management Science 1 Monatshefte für Mathematik 1 Constructive Approximation 1 Statistical Science 1 Japan Journal of Industrial and Applied Mathematics 1 Journal of Statistical Computation and Simulation 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Annals of Mathematics and Artificial Intelligence 1 London Mathematical Society Lecture Note Series 1 Statistics and Computing 1 Journal of Fractal Geometry
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### Fields

 18 Statistics (62-XX) 12 Measure and integration (28-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Operations research, mathematical programming (90-XX) 6 Probability theory and stochastic processes (60-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

33 Publications have been cited 626 times in 464 Documents Cited by Year
Vines – a new graphical model for dependent random variables. Zbl 1101.62339
Bedford, Tim; Cooke, Roger M.
2002
Probability density decomposition for conditionally dependent random variables modeled by vines. Zbl 1314.62040
Bedford, Tim; Cooke, Roger M.
2001
Probabilistic risk analysis: Foundations and methods. Zbl 0977.60002
Bedford, Tim; Cooke, Roger
2001
Dimension and dynamics for fractal recurrent sets. Zbl 0606.28004
Bedford, Tim
1986
Analogues of the Lebesgue density theorem for fractal sets of reals and integers. Zbl 0706.28009
Bedford, Tim; Fisher, Albert M.
1992
Hölder exponents and box dimension for self-affine fractal functions. Zbl 0665.28004
Bedford, Tim
1989
Ergodic theory, symbolic dynamics, and hyperbolic spaces. Lectures given at the workshop ”Hyperbolic geometry and ergodic theory”, held at the International Centre for Theoretical Physics in Trieste, Italy, 17-28 April, 1989. Zbl 0743.00040
1991
Applications of dynamical systems theory to fractals — a study of cookie-cutter Cantor sets. Zbl 0741.58011
Bedford, Tim
1991
The box dimension of self-affine graphs and repellers. Zbl 0691.58025
Bedford, Tim
1989
Ratio geometry, rigidity and the scenery process for hyperbolic Cantor sets. Zbl 0886.58089
Bedford, Tim; Fisher, Albert M.
1997
On Weierstrass-like functions and random recurrent sets. Zbl 0732.26009
Bedford, Tim
1989
The box and Hausdorff dimension of self-affine sets. Zbl 0725.28006
Bedford, Tim; Urbański, Mariusz
1990
Minimally informative distributions with given rank correlation for use in uncertainty analysis. Zbl 0873.62006
Meeuwissen, A. M. H.; Bedford, Tim
1997
Hausdorff dimension and box dimension in self-similar sets. Zbl 0743.54020
Bedford, Tim
1988
Generating special Markov partitions for hyperbolic toral automorphisms using fractals. Zbl 0628.58028
Bedford, Tim
1986
The scenery flow for hyperbolic Julia sets. Zbl 1014.37034
Bedford, Tim; Fisher, Albert M.; Urbański, Mariusz
2002
On the magnification of Cantor sets and their limit models. Zbl 0843.28002
Bedford, Tim; Fisher, Albert M.
1996
Expert judgement for dependence in probabilistic modelling: a systematic literature review and future research directions. Zbl 1394.90368
Werner, Christoph; Bedford, Tim; Cooke, Roger M.; Hanea, Anca M.; Morales-Nápoles, Oswaldo
2017
On the construction of minimum information bivariate copula families. Zbl 1336.62116
Bedford, Tim; Wilson, Kevin J.
2014
A characterization of marginal distributions of (possibly dependent) lifetime variables which right censor each other. Zbl 0936.62014
Bedford, Tim; Meilijson, Isaac
1997
The signal model: a model for competing risks of opportunistic maintenance. Zbl 1219.90049
Bedford, Tim; Dewan, Isha; Meilijson, Isaac; Zitrou, Athena
2011
Probabilistic inversion of expert judgments in the quantification of model uncertainty. Zbl 1232.62164
Kraan, Bernd; Bedford, Tim
2005
Expert elicitation for reliable system design. (With comments and rejoinder). Zbl 1129.62119
Bedford, Tim; Quigley, John; Walls, Lesley
2006
Stieltjes integration and stochastic calculus with respect to self-affine functions. Zbl 0769.60047
Bedford, Tim; Kamae, Teturo
1991
A remark on the van Lieshout and Baddeley $$J$$-function for point processes. Zbl 0882.60044
Bedford, T.; van den Berg, J.
1997
The identifiability problem for repairable systems subject to competing risks. Zbl 1105.90016
Bedford, Tim; Lindqvist, Bo H.
2004
Advances in mathematical modeling for reliability. Revised selected papers from the 5th conference on mathematical methods in reliability, Glasgow, July 1–4, 2007. Zbl 1166.62073
2008
New directions in dynamical systems. Zbl 0635.00009
1988
A topological separation condition for fractal attractors. Zbl 1336.28007
Bedford, Tim; Borodachov, Sergiy V.; Geronimo, Jeffrey S.
2014
Competing risk modeling in reliability. Zbl 1082.62087
Bedford, Tim
2005
Copulas, degenerate distributions and quantile tests in competing risk problems. Zbl 1090.62106
Bedford, Tim
2006
Failure and maintenance data extraction from power plant maintenance management databases. Zbl 1156.62356
Alkali, Babakalli M.; Bedford, Tim; Quigley, John; Gaw, Jim
2009
Fractal image coding techniques and contraction operators. Zbl 0797.68166
Bedford, T.; Dekking, F. M.; Keane, M. S.
1992
Expert judgement for dependence in probabilistic modelling: a systematic literature review and future research directions. Zbl 1394.90368
Werner, Christoph; Bedford, Tim; Cooke, Roger M.; Hanea, Anca M.; Morales-Nápoles, Oswaldo
2017
On the construction of minimum information bivariate copula families. Zbl 1336.62116
Bedford, Tim; Wilson, Kevin J.
2014
A topological separation condition for fractal attractors. Zbl 1336.28007
Bedford, Tim; Borodachov, Sergiy V.; Geronimo, Jeffrey S.
2014
The signal model: a model for competing risks of opportunistic maintenance. Zbl 1219.90049
Bedford, Tim; Dewan, Isha; Meilijson, Isaac; Zitrou, Athena
2011
Failure and maintenance data extraction from power plant maintenance management databases. Zbl 1156.62356
Alkali, Babakalli M.; Bedford, Tim; Quigley, John; Gaw, Jim
2009
Advances in mathematical modeling for reliability. Revised selected papers from the 5th conference on mathematical methods in reliability, Glasgow, July 1–4, 2007. Zbl 1166.62073
2008
Expert elicitation for reliable system design. (With comments and rejoinder). Zbl 1129.62119
Bedford, Tim; Quigley, John; Walls, Lesley
2006
Copulas, degenerate distributions and quantile tests in competing risk problems. Zbl 1090.62106
Bedford, Tim
2006
Probabilistic inversion of expert judgments in the quantification of model uncertainty. Zbl 1232.62164
Kraan, Bernd; Bedford, Tim
2005
Competing risk modeling in reliability. Zbl 1082.62087
Bedford, Tim
2005
The identifiability problem for repairable systems subject to competing risks. Zbl 1105.90016
Bedford, Tim; Lindqvist, Bo H.
2004
Vines – a new graphical model for dependent random variables. Zbl 1101.62339
Bedford, Tim; Cooke, Roger M.
2002
The scenery flow for hyperbolic Julia sets. Zbl 1014.37034
Bedford, Tim; Fisher, Albert M.; Urbański, Mariusz
2002
Probability density decomposition for conditionally dependent random variables modeled by vines. Zbl 1314.62040
Bedford, Tim; Cooke, Roger M.
2001
Probabilistic risk analysis: Foundations and methods. Zbl 0977.60002
Bedford, Tim; Cooke, Roger
2001
Ratio geometry, rigidity and the scenery process for hyperbolic Cantor sets. Zbl 0886.58089
Bedford, Tim; Fisher, Albert M.
1997
Minimally informative distributions with given rank correlation for use in uncertainty analysis. Zbl 0873.62006
Meeuwissen, A. M. H.; Bedford, Tim
1997
A characterization of marginal distributions of (possibly dependent) lifetime variables which right censor each other. Zbl 0936.62014
Bedford, Tim; Meilijson, Isaac
1997
A remark on the van Lieshout and Baddeley $$J$$-function for point processes. Zbl 0882.60044
Bedford, T.; van den Berg, J.
1997
On the magnification of Cantor sets and their limit models. Zbl 0843.28002
Bedford, Tim; Fisher, Albert M.
1996
Analogues of the Lebesgue density theorem for fractal sets of reals and integers. Zbl 0706.28009
Bedford, Tim; Fisher, Albert M.
1992
Fractal image coding techniques and contraction operators. Zbl 0797.68166
Bedford, T.; Dekking, F. M.; Keane, M. S.
1992
Ergodic theory, symbolic dynamics, and hyperbolic spaces. Lectures given at the workshop ”Hyperbolic geometry and ergodic theory”, held at the International Centre for Theoretical Physics in Trieste, Italy, 17-28 April, 1989. Zbl 0743.00040
1991
Applications of dynamical systems theory to fractals — a study of cookie-cutter Cantor sets. Zbl 0741.58011
Bedford, Tim
1991
Stieltjes integration and stochastic calculus with respect to self-affine functions. Zbl 0769.60047
Bedford, Tim; Kamae, Teturo
1991
The box and Hausdorff dimension of self-affine sets. Zbl 0725.28006
Bedford, Tim; Urbański, Mariusz
1990
Hölder exponents and box dimension for self-affine fractal functions. Zbl 0665.28004
Bedford, Tim
1989
The box dimension of self-affine graphs and repellers. Zbl 0691.58025
Bedford, Tim
1989
On Weierstrass-like functions and random recurrent sets. Zbl 0732.26009
Bedford, Tim
1989
Hausdorff dimension and box dimension in self-similar sets. Zbl 0743.54020
Bedford, Tim
1988
New directions in dynamical systems. Zbl 0635.00009
1988
Dimension and dynamics for fractal recurrent sets. Zbl 0606.28004
Bedford, Tim
1986
Generating special Markov partitions for hyperbolic toral automorphisms using fractals. Zbl 0628.58028
Bedford, Tim
1986
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### Cited by 707 Authors

 32 Czado, Claudia 21 Joe, Harry 13 Cooke, Roger Marvin 11 Bedford, Tim 11 Kurowicka, Dorota 9 Falconer, Kenneth J. 8 Schepsmeier, Ulf 6 Brechmann, Eike Christian 6 Nagler, Thomas 6 Pollicott, Mark 6 Stöber, Jakob 5 Aas, Kjersti 5 Fisher, Albert Meads 5 Haff, Ingrid Hobæk 5 Hochman, Michael 5 Hua, Lei 5 Min, Aleksey 5 Sriboonchitta, Songsak 4 Käenmäki, Antti 4 Olsen, Lars Ole Ronnow 4 Peres, Yuval 4 Quigley, John M. 4 Schellhase, Christian 4 Scherer, Matthias 4 Urbański, Mariusz 4 Wilson, Kevin James 4 Zhou, Songping 3 Allaart, Pieter C. 3 Bárány, Balázs 3 Chatrabgoun, Omid 3 De Giuli, Maria Elena 3 Embrechts, Paul 3 Frigessi, Arnoldo 3 Gijbels, Irène 3 Goel, Anubha 3 Haas, Andrew 3 Jenkinson, Oliver 3 Jin, Xiong 3 Kamae, Teturo 3 Kombrink, Sabrina 3 Krupskii, Pavel 3 Li, Haijun 3 Lindqvist, Bo Henry 3 Mörters, Peter 3 Müller, Dominik 3 Nikoloulopoulos, Aristidis K. 3 Okhrin, Yarema 3 Peitgen, Heinz-Otto 3 Pinto, Alberto Adrego 3 Puccetti, Giovanni 3 Segers, Johan 3 Shmerkin, Pablo S. 3 Vatter, Thibault 3 von Haeseler, Fritz 3 Walls, Lesley 3 Weiss, Howard 3 Wen, Zhiying 3 Zähle, Martina 3 Zhu, Kailun 2 Alanazi, Fadhah Amer 2 Almeida, Joao Paulo Andrade 2 Arnoux, Pierre 2 Bandt, Christoph 2 Barral, Julien 2 Barthel, Nicole 2 Borgonovo, Emanuele 2 Bouezmarni, Taoufik 2 Brown, Gavin 2 Cannon, James W. 2 Chaganty, Narasinga Rao 2 Chang, Bo 2 Chen, Ercai 2 Claeskens, Gerda 2 Cossette, Hélène 2 Daneshkhah, Alireza 2 Deng, Qirong 2 Durante, Fabrizio 2 Eling, Martin 2 Erhardt, Tobias Michael 2 Feng, De-Jun 2 Fernau, Henning 2 Foldnes, Njål 2 Fraser, Jonathan MacDonald 2 French, Simon 2 Gelbrich, Götz 2 Gelfert, Katrin Grit 2 Genest, Christian 2 Grønneberg, Steffen 2 Grothe, Oliver 2 Gruber, Lutz F. 2 Hanea, Anca Maria 2 He, Guolong 2 Hu, Huyi 2 Hu, Taizhong 2 Hua, Su 2 Jung, Kwangmin 2 Jung, Yoon-Sung 2 Kapoor, Govind P. 2 Karlis, Dimitris 2 Kauermann, Goran ...and 607 more Authors
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### Cited in 164 Serials

 30 Journal of Multivariate Analysis 28 Computational Statistics and Data Analysis 24 European Journal of Operational Research 13 Transactions of the American Mathematical Society 13 Dependence Modeling 12 Ergodic Theory and Dynamical Systems 11 Journal of Mathematical Analysis and Applications 11 Statistics and Computing 9 Insurance Mathematics & Economics 7 Journal of Statistical Physics 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Proceedings of the American Mathematical Society 7 Quantitative Finance 6 Communications in Mathematical Physics 6 Monatshefte für Mathematik 6 Fractals 6 Thai Journal of Mathematics 5 Computer Methods in Applied Mechanics and Engineering 5 Chaos, Solitons and Fractals 5 Advances in Mathematics 5 Journal of Applied Statistics 4 Israel Journal of Mathematics 4 Journal of Statistical Planning and Inference 4 International Journal of Approximate Reasoning 4 Computational Statistics 4 Applied Mathematical Modelling 4 Analysis in Theory and Applications 4 Electronic Journal of Statistics 3 The Canadian Journal of Statistics 3 Journal of the American Statistical Association 3 Journal of Econometrics 3 Mathematika 3 Statistical Science 3 Econometric Reviews 3 Communications in Statistics. Simulation and Computation 3 Linear Algebra and its Applications 3 Stochastic Processes and their Applications 3 Conformal Geometry and Dynamics 3 North American Actuarial Journal 3 Journal of Computational and Graphical Statistics 3 Bayesian Analysis 2 Advances in Applied Probability 2 Journal d’Analyse Mathématique 2 Journal of Computational Physics 2 Nonlinearity 2 Physica A 2 Psychometrika 2 Annals of the Institute of Statistical Mathematics 2 Applied Mathematics and Computation 2 Biometrics 2 Geometriae Dedicata 2 Information Sciences 2 Inventiones Mathematicae 2 Journal of Computational and Applied Mathematics 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Theoretical Computer Science 2 Advances in Applied Mathematics 2 Statistics & Probability Letters 2 Physica D 2 Constructive Approximation 2 Science in China. Series A 2 Annals of Operations Research 2 Communications in Statistics. Theory and Methods 2 Expositiones Mathematicae 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Applied Mathematics. Series B (English Edition) 2 Statistical Papers 2 Bulletin des Sciences Mathématiques 2 Annals of Mathematics and Artificial Intelligence 2 Bernoulli 2 Wuhan University Journal of Natural Sciences (WUJNS) 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Stochastic Environmental Research and Risk Assessment 2 Scandinavian Actuarial Journal 2 Dynamical Systems 2 Stochastics and Dynamics 2 ASTIN Bulletin 2 Mediterranean Journal of Mathematics 2 Computational Management Science 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 Journal of Statistical Distributions and Applications 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Acta Mechanica 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 International Journal of General Systems 1 Information Processing Letters 1 Journal of the Franklin Institute 1 Physics Letters. A 1 Scandinavian Journal of Statistics 1 The Mathematical Intelligencer 1 Theory of Probability and its Applications 1 The Annals of Statistics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Fuzzy Sets and Systems 1 Illinois Journal of Mathematics ...and 64 more Serials
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### Cited in 42 Fields

 225 Statistics (62-XX) 130 Measure and integration (28-XX) 92 Dynamical systems and ergodic theory (37-XX) 65 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 62 Probability theory and stochastic processes (60-XX) 27 Operations research, mathematical programming (90-XX) 22 Numerical analysis (65-XX) 20 Number theory (11-XX) 18 Computer science (68-XX) 14 Real functions (26-XX) 10 Functions of a complex variable (30-XX) 7 Combinatorics (05-XX) 7 Convex and discrete geometry (52-XX) 7 Differential geometry (53-XX) 6 Group theory and generalizations (20-XX) 6 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 General topology (54-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Manifolds and cell complexes (57-XX) 4 Quantum theory (81-XX) 4 Biology and other natural sciences (92-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Geophysics (86-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of deformable solids (74-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX)