Edit Profile (opens in new tab) Mandl, Petr Compute Distance To: Compute Author ID: mandl.petr Published as: Mandl, Petr; Mandl, P. External Links: Wikidata · GND · IdRef Documents Indexed: 82 Publications since 1959, including 1 Book 4 Contributions as Editor Co-Authors: 13 Co-Authors with 22 Joint Publications 231 Co-Co-Authors all top 5 Co-Authors 64 single-authored 7 Duncan, Tyrone E. 7 Pasik-Duncan, Bozenna 3 Hušková, Marie 2 Laušmanová, Monika 2 Mazurová, Lucie 2 Romera Ayllón, M. Rosario 1 Florens-Zmirou, Danielle 1 Hübner, Gerhard 1 Iosifescu, Marius 1 Lánská, Věra 1 Lazosová, Helena 1 Seneta, Eugene 1 Vrkoč, Ivo all top 5 Serials 11 Kybernetika 6 Časopis Pro Pěstování Matematiky 4 Theory of Probability and its Applications 4 IEEE Transactions on Automatic Control 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Aplikace Matematiky 3 Czechoslovak Mathematical Journal 3 Pokroky Matematiky, Fyziky & Astronomie 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Journal of Applied Probability 1 Acta Universitatis Carolinae. Mathematica et Physica 1 Advances in Applied Probability 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 The Australian Journal of Statistics 1 Commentationes Mathematicae Universitatis Carolinae 1 Selected Translations in Mathematical Statistics and Probability 1 Insurance Mathematics & Economics 1 Annals of Operations Research 1 Académie de la République Populaire Roumaine, Revue de Mathématiques Pures et Appliquées 1 Grundlehren der Mathematischen Wissenschaften 1 Translations. Series 2. American Mathematical Society all top 5 Fields 36 Probability theory and stochastic processes (60-XX) 28 Systems theory; control (93-XX) 17 Statistics (62-XX) 9 Operations research, mathematical programming (90-XX) 4 General and overarching topics; collections (00-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 History and biography (01-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Numerical analysis (65-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 331 times in 289 Documents Cited by ▼ Year ▼ Analytical treatment of one-dimensional Markov processes. Zbl 0179.47802Mandl, Petr 154 1968 Estimation and control in Markov chains. Zbl 0281.60070Mandl, P. 51 1974 Spectral theory of semi-groups connected with diffusion processes and its application. Zbl 0115.13503Mandl, Petr 16 1961 On the variance in controlled Markov chains. Zbl 0215.25902Mandl, Petr 16 1971 A connection between controlled Markov chains and martingales. Zbl 0265.60060Mandl, Petr 11 1973 On the adaptive control of countable Markov chains. Zbl 0439.60069Mandl, Petr 7 1979 The theory of non-negative matrices in a dynamic programming problem. Zbl 0185.08003Mandl, P.; Seneta, E. 7 1969 An identity for Markovian replacement processes. Zbl 0192.55203Mandl, Petr 6 1969 Numerical differentiation and parameter estimation in higher-order linear stochastic systems. Zbl 0855.93078Duncan, Tyrone E.; Mandl, Petr; Pasik-Duncan, Boźenna 6 1996 On the consistency of a least squares identification procedure. Zbl 0657.93072Mandl, Petr; Duncan, Tyrone E.; Pasik-Duncan, Bożenna 5 1988 Harmonic analysis of pension funding methods. Zbl 0853.62083Mandl, Petr; Mazurová, Lucie 4 1996 A note on sampling and parameter estimation in linear stochastic systems. Zbl 1136.93443Duncan, T. E.; Mandl, P.; Pasik-Duncan, B. 4 1999 Self-optimizing control of Markov processes and Markov potential theory. Zbl 0565.60064Mandl, Petr 4 1984 Some results on Markovian replacement processes. Zbl 0222.60058Mandl, Petr 3 1971 On controlled Markov processes with average cost criterion. Zbl 0633.90090Mandl, Petr; Romera Ayllon, M. Rosario 3 1987 On the asymptotic normality of the reward in a controlled Markov chain. Zbl 0355.90072Mandl, P. 2 1974 On aggregating controlled Markov chains. Zbl 0431.93063Mandl, Petr 2 1979 On the adaptive control of finite state Markov processes. Zbl 0273.60050Mandl, Petr 2 1973 Sur le comportement asymptotique des probabilités dans les ensembles des états d’une chaîne de Markov homogène. Zbl 0087.13601Mandl, Petr 2 1959 Application des systèmes à liaisons completes à un problème de reglage. Zbl 0154.43001Iosifescu, M.; Mandl, P. 2 1966 An iterative method for maximizing the characteristic root of positive matrices. Zbl 0189.03003Mandl, Petr 2 1967 Decomposable non-negative matrices in a dynamic programming problem. Zbl 0209.22902Mandl, Petr 2 1970 Transient phenomena and self-optimizing control of Markov chains. Zbl 0618.90096Mandl, Petr; Hübner, Gerhard 2 1985 Some connections between statistics and control theory. Zbl 0642.93066Mandl, Petr 2 1987 Local asymptotic normality in controlled Markov chains. Zbl 0582.62077Mandl, P. 2 1985 Asymptotically optimal controls of Markov processes involving unknown parameters. Zbl 0356.62067Mandl, Petr 1 1974 Elements of stochastic analysis. Zbl 0382.60002Mandl, Petr 1 1978 Water storage models based on transformed normal distribution. Zbl 0428.62058Mandl, Petr 1 1979 On the sequential improvement of replacement policies. Zbl 0431.60086Mandl, Petr 1 1979 Les propriétés limites des répartitions de probabilité des processus de Markov bornés. Zbl 0099.12004Mandl, Petr 1 1960 On the control of non-terminating diffusion processes. Zbl 0134.34403Mandl, Petr 1 1965 On least squares estimation in continuous time linear stochastic systems. Zbl 0781.93085Duncan, Tyrone E.; Mandl, Petr; Pasik-Duncan, Bożenna 1 1992 On statistical sampling for system testing. Zbl 0800.93182Duncan, T. E.; Mandl, P.; Pasik-Duncan, B. 1 1994 Two extensions of asymptotic methods in controlled Markov chains. Zbl 0754.60081Mandl, Petr; Laušmanová, Monika 1 1991 On exponentially discounted adaptive control. Zbl 0714.93046Duncan, Tyrone E.; Mandl, Petr; Pasik-Duncan, Bożenna 1 1990 Asymptotic ordering of probability distributions for linear controlled systems with quadratic cost. Zbl 0588.93070Mandl, Petr 1 1986 Consistency of estimators in controlled systems. Zbl 0689.93059Mandl, Petr 1 1989 Limit theorems of probability theory and optimality in linear controlled systems with quadratic cost. Zbl 0637.93078Mandl, Petr 1 1987 On adaptive control of Markov processes. Zbl 0639.60049Mandl, Petr; Romera Ayllón, M. Rosario 1 1987 A note on sampling and parameter estimation in linear stochastic systems. Zbl 1136.93443Duncan, T. E.; Mandl, P.; Pasik-Duncan, B. 4 1999 Numerical differentiation and parameter estimation in higher-order linear stochastic systems. Zbl 0855.93078Duncan, Tyrone E.; Mandl, Petr; Pasik-Duncan, Boźenna 6 1996 Harmonic analysis of pension funding methods. Zbl 0853.62083Mandl, Petr; Mazurová, Lucie 4 1996 On statistical sampling for system testing. Zbl 0800.93182Duncan, T. E.; Mandl, P.; Pasik-Duncan, B. 1 1994 On least squares estimation in continuous time linear stochastic systems. Zbl 0781.93085Duncan, Tyrone E.; Mandl, Petr; Pasik-Duncan, Bożenna 1 1992 Two extensions of asymptotic methods in controlled Markov chains. Zbl 0754.60081Mandl, Petr; Laušmanová, Monika 1 1991 On exponentially discounted adaptive control. Zbl 0714.93046Duncan, Tyrone E.; Mandl, Petr; Pasik-Duncan, Bożenna 1 1990 Consistency of estimators in controlled systems. Zbl 0689.93059Mandl, Petr 1 1989 On the consistency of a least squares identification procedure. Zbl 0657.93072Mandl, Petr; Duncan, Tyrone E.; Pasik-Duncan, Bożenna 5 1988 On controlled Markov processes with average cost criterion. Zbl 0633.90090Mandl, Petr; Romera Ayllon, M. Rosario 3 1987 Some connections between statistics and control theory. Zbl 0642.93066Mandl, Petr 2 1987 Limit theorems of probability theory and optimality in linear controlled systems with quadratic cost. Zbl 0637.93078Mandl, Petr 1 1987 On adaptive control of Markov processes. Zbl 0639.60049Mandl, Petr; Romera Ayllón, M. Rosario 1 1987 Asymptotic ordering of probability distributions for linear controlled systems with quadratic cost. Zbl 0588.93070Mandl, Petr 1 1986 Transient phenomena and self-optimizing control of Markov chains. Zbl 0618.90096Mandl, Petr; Hübner, Gerhard 2 1985 Local asymptotic normality in controlled Markov chains. Zbl 0582.62077Mandl, P. 2 1985 Self-optimizing control of Markov processes and Markov potential theory. Zbl 0565.60064Mandl, Petr 4 1984 On the adaptive control of countable Markov chains. Zbl 0439.60069Mandl, Petr 7 1979 On aggregating controlled Markov chains. Zbl 0431.93063Mandl, Petr 2 1979 Water storage models based on transformed normal distribution. Zbl 0428.62058Mandl, Petr 1 1979 On the sequential improvement of replacement policies. Zbl 0431.60086Mandl, Petr 1 1979 Elements of stochastic analysis. Zbl 0382.60002Mandl, Petr 1 1978 Estimation and control in Markov chains. Zbl 0281.60070Mandl, P. 51 1974 On the asymptotic normality of the reward in a controlled Markov chain. Zbl 0355.90072Mandl, P. 2 1974 Asymptotically optimal controls of Markov processes involving unknown parameters. Zbl 0356.62067Mandl, Petr 1 1974 A connection between controlled Markov chains and martingales. Zbl 0265.60060Mandl, Petr 11 1973 On the adaptive control of finite state Markov processes. Zbl 0273.60050Mandl, Petr 2 1973 On the variance in controlled Markov chains. Zbl 0215.25902Mandl, Petr 16 1971 Some results on Markovian replacement processes. Zbl 0222.60058Mandl, Petr 3 1971 Decomposable non-negative matrices in a dynamic programming problem. Zbl 0209.22902Mandl, Petr 2 1970 The theory of non-negative matrices in a dynamic programming problem. Zbl 0185.08003Mandl, P.; Seneta, E. 7 1969 An identity for Markovian replacement processes. Zbl 0192.55203Mandl, Petr 6 1969 Analytical treatment of one-dimensional Markov processes. Zbl 0179.47802Mandl, Petr 154 1968 An iterative method for maximizing the characteristic root of positive matrices. Zbl 0189.03003Mandl, Petr 2 1967 Application des systèmes à liaisons completes à un problème de reglage. Zbl 0154.43001Iosifescu, M.; Mandl, P. 2 1966 On the control of non-terminating diffusion processes. Zbl 0134.34403Mandl, Petr 1 1965 Spectral theory of semi-groups connected with diffusion processes and its application. Zbl 0115.13503Mandl, Petr 16 1961 Les propriétés limites des répartitions de probabilité des processus de Markov bornés. Zbl 0099.12004Mandl, Petr 1 1960 Sur le comportement asymptotique des probabilités dans les ensembles des états d’une chaîne de Markov homogène. Zbl 0087.13601Mandl, Petr 2 1959 all cited Publications top 5 cited Publications all top 5 Cited by 297 Authors 18 Hernández-Lerma, Onésimo 12 Mandl, Petr 6 Alvarez, Luis H. R. 6 Borkar, Vivek Shripad 6 Marcus, Steven I. 6 Sladký, Karel 6 Weber, Matthias 5 Cavazos-Cadena, Rolando 5 Freidlin, Mark I. 5 Groh, Jürgen 5 Koralov, Leonid B. 5 Kunderová, Pavla 5 Minjárez-Sosa, J. Adolfo 5 Pasik-Duncan, Bozenna 4 Bobrowski, Adam 4 Duncan, Tyrone E. 4 Gillespie, John H. 4 Kolb, Martin 4 Polunchenko, Aleksey S. 3 Basin, Michael V. 3 Doshi, Bharat T. 3 Küchler, Uwe 3 Kutoyants, Yury A. 3 Langer, Heinz 3 Laušmanová, Monika 3 Marchetti, Federico 3 Martinez Aguilera, Servet 3 Méléard, Sylvie 3 Montani, Giovanni 3 Pliska, Stanley R. 3 Prieto-Rumeau, Tomás 3 Rösler, Uwe 3 San Martín, Jaime 3 Schütze, Dieter 3 Steinsaltz, David R. 3 Valentim, Fábio Júlio 3 Zhu, Quanxin 2 Anulova, Svetlana 2 Cianfrani, Francesco 2 Collet, Pierre 2 Del Grosso, Gabriella 2 Dolgopyat, Dmitry 2 Florens-Zmirou, Danielle 2 Ghosh, Mrinal Kanti 2 He, Guoman 2 Hernandez-Gonzalez, Miguel 2 Hübner, Gerhard 2 Johnson, Timothy C. 2 Keller, Gerhard 2 Kersting, Götz-Dietrich 2 Kim, Jihyun 2 Lánská, Věra 2 Li, Kexuan 2 Löbus, Jörg-Uwe 2 Loukianov, Alexander G. 2 Mboup, Mamadou 2 Mendoza-Pérez, Armando Felipe 2 Novikov, Alexei 2 Puterman, Martin L. 2 Robin, Maurice 2 Romera Ayllón, M. Rosario 2 Rosenkrantz, Walter Abraham 2 Schäl, Manfred 2 Scheutzow, Michael K. R. 2 Simas, Alexandre B. 2 Sokolichin, A. A. 2 Spiliopoulos, Konstantinos V. 2 Wentzell, Alexander Dmitrievich 2 Zervos, Mihail 2 Zhang, Hanjun 2 Zuckerman, Dror 1 Alaffita-Hernández, F. A. 1 Albeverio, Sergio A. 1 Amir, Rabah 1 Arendt, Wolfgang 1 Arlotto, Alessandro 1 Arnaudon, Marc 1 Ata, Baris 1 Azencott, Robert 1 Bagchi, Arunabha 1 Barret, Florent 1 Bátkai, András 1 Bauer, Michel 1 Berestycki, Henri 1 Berman, Simeon M. 1 Bernard, Denis 1 Berstein, Andrey 1 Bhattacharya, Rabi N. 1 Bielecki, Tomasz R. 1 Bierth, Karl-Josef 1 Bondarenko, Ievgen V. 1 Bondesson, Lennart 1 Boschková, Monika 1 Brannan, James R. 1 Cairns, Andrew J. G. 1 Calderon-Alvarez, Dario 1 Campiti, Michele 1 Campolieti, Giuseppe 1 Cao, Wenjun 1 Cattiaux, Patrick ...and 197 more Authors all top 5 Cited in 108 Serials 21 Kybernetika 17 Stochastic Processes and their Applications 14 Mathematische Nachrichten 13 Journal of Mathematical Analysis and Applications 13 Journal of Optimization Theory and Applications 11 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 7 The Annals of Probability 6 Probability Theory and Related Fields 5 Stochastics 5 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 5 Applied Mathematics and Optimization 5 Theoretical Population Biology 5 Systems & Control Letters 5 The Annals of Applied Probability 4 Insurance Mathematics & Economics 4 Statistics & Probability Letters 4 Acta Applicandae Mathematicae 4 Mathematical Methods of Operations Research 3 Journal of Statistical Physics 3 Mathematical Biosciences 3 Automatica 3 Czechoslovak Mathematical Journal 3 Journal of Applied Probability 3 Journal of Differential Equations 3 Journal of Econometrics 3 Journal of Mathematical Economics 3 Semigroup Forum 3 Transactions of the American Mathematical Society 3 Optimization 3 Annals of Operations Research 3 European Journal of Operational Research 3 Linear Algebra and its Applications 3 International Journal of Modern Physics D 3 Annales Henri Poincaré 3 Journal of Evolution Equations 3 Bulletin of the American Mathematical Society 2 Advances in Applied Probability 2 International Journal of Control 2 International Journal of Systems Science 2 Journal of Mathematical Biology 2 Theory of Probability and its Applications 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Journal of Theoretical Probability 2 Mathematical and Computer Modelling 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 2 Test 2 Mathematical Finance 2 Stochastics 2 Naval Research Logistics Quarterly 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Scandinavian Journal of Statistics 1 Ukrainian Mathematical Journal 1 Annales de l’Institut Fourier 1 Annals of the Institute of Statistical Mathematics 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Aplikace Matematiky 1 Bulletin de la Société Mathématique de France 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of Mathematical Psychology 1 Mathematics of Operations Research 1 Proceedings of the American Mathematical Society 1 Scandinavian Actuarial Journal 1 SIAM Journal on Control and Optimization 1 OR Spektrum 1 Ergodic Theory and Dynamical Systems 1 Operations Research Letters 1 Stochastic Analysis and Applications 1 Acta Mathematicae Applicatae Sinica. English Series 1 Statistics 1 Sequential Analysis 1 Computers & Operations Research 1 MCSS. Mathematics of Control, Signals, and Systems 1 Queueing Systems 1 European Journal of Applied Mathematics 1 Signal Processing 1 International Journal of Adaptive Control and Signal Processing 1 Numerical Algorithms 1 Automation and Remote Control 1 Communications in Statistics. Simulation and Computation 1 Zeitschrift für Operations Research. Serie A: Theorie 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 ZOR. Zeitschrift für Operations Research 1 Stochastics and Stochastics Reports 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Applicationes Mathematicae 1 Economic Theory 1 Top 1 ZOR. Mathematical Methods of Operations Research 1 Electronic Journal of Probability 1 Econometric Theory 1 Quantitative Finance 1 Miscelánea Matemática ...and 8 more Serials all top 5 Cited in 34 Fields 180 Probability theory and stochastic processes (60-XX) 70 Systems theory; control (93-XX) 64 Operations research, mathematical programming (90-XX) 36 Statistics (62-XX) 27 Partial differential equations (35-XX) 23 Operator theory (47-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Biology and other natural sciences (92-XX) 11 Ordinary differential equations (34-XX) 8 Numerical analysis (65-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Quantum theory (81-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functional analysis (46-XX) 3 Potential theory (31-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.