Edit Profile (opens in new tab) Mandl, Petr Co-Author Distance 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 239 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 Ekonomicko-Matematicky Obzor 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 37 Probability theory and stochastic processes (60-XX) 29 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 Measure and integration (28-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 44 Publications have been cited 386 times in 335 Documents Cited by ▼ Year ▼ Analytical treatment of one-dimensional Markov processes. Zbl 0179.47802 Mandl, Petr 180 1968 Estimation and control in Markov chains. Zbl 0281.60070 Mandl, P. 52 1974 Spectral theory of semi-groups connected with diffusion processes and its application. Zbl 0115.13503 Mandl, Petr 22 1961 On the variance in controlled Markov chains. Zbl 0215.25902 Mandl, Petr 15 1971 A connection between controlled Markov chains and martingales. Zbl 0265.60060 Mandl, Petr 11 1973 On the adaptive control of countable Markov chains. Zbl 0439.60069 Mandl, Petr 8 1979 The theory of non-negative matrices in a dynamic programming problem. Zbl 0185.08003 Mandl, P.; Seneta, E. 7 1969 Numerical differentiation and parameter estimation in higher-order linear stochastic systems. Zbl 0855.93078 Duncan, Tyrone E.; Mandl, Petr; Pasik-Duncan, Boźenna 6 1996 An identity for Markovian replacement processes. Zbl 0192.55203 Mandl, Petr 6 1969 Self-optimizing control of Markov processes and Markov potential theory. Zbl 0565.60064 Mandl, Petr 5 1984 Sur le comportement asymptotique des probabilités dans les ensembles des états d’une chaîne de Markov homogène. Zbl 0087.13601 Mandl, Petr 5 1959 Sur le comportement asymptotique des probabilites dans les ensembles des etats d’un processus de Markov homogene. Zbl 0129.10802 Mandl, P. 5 1960 On the consistency of a least squares identification procedure. Zbl 0657.93072 Mandl, Petr; Duncan, Tyrone E.; Pasik-Duncan, Bożenna 5 1988 Harmonic analysis of pension funding methods. Zbl 0853.62083 Mandl, Petr; Mazurová, Lucie 4 1996 On controlled Markov processes with average cost criterion. Zbl 0633.90090 Mandl, Petr; Romera Ayllon, M. Rosario 4 1987 On the control of non-terminating diffusion processes. Zbl 0134.34403 Mandl, Petr 4 1965 A note on sampling and parameter estimation in linear stochastic systems. Zbl 1136.93443 Duncan, T. E.; Mandl, P.; Pasik-Duncan, B. 4 1999 Some results on Markovian replacement processes. Zbl 0222.60058 Mandl, Petr 3 1971 On the asymptotic normality of the reward in a controlled Markov chain. Zbl 0355.90072 Mandl, P. 3 1974 Transient phenomena and self-optimizing control of Markov chains. Zbl 0618.90096 Mandl, Petr; Hübner, Gerhard 2 1985 Local asymptotic normality in controlled Markov chains. Zbl 0582.62077 Mandl, P. 2 1985 Application des systèmes à liaisons complètes à un problème de réglage. Zbl 0154.43001 Iosifescu, M.; Mandl, P. 2 1966 An iterative method for maximizing the characteristic root of positive matrices. Zbl 0189.03003 Mandl, Petr 2 1967 Some connections between statistics and control theory. Zbl 0642.93066 Mandl, Petr 2 1987 Decomposable non-negative matrices in a dynamic programming problem. Zbl 0209.22902 Mandl, Petr 2 1970 On the adaptive control of finite state Markov processes. Zbl 0273.60050 Mandl, Petr 2 1973 On the control of a Wiener process for a limited number of switchings. Zbl 0178.19401 Mandl, P. 2 1967 On exponentially discounted adaptive control. Zbl 0714.93046 Duncan, Tyrone E.; Mandl, Petr; Pasik-Duncan, Bożenna 2 1990 On aggregating controlled Markov chains. Zbl 0431.93063 Mandl, Petr 2 1979 Two extensions of asymptotic methods in controlled Markov chains. Zbl 0754.60081 Mandl, Petr; Laušmanová, Monika 1 1991 On statistical sampling for system testing. Zbl 0800.93182 Duncan, T. E.; Mandl, P.; Pasik-Duncan, B. 1 1994 On least squares estimation in continuous time linear stochastic systems. Zbl 0781.93085 Duncan, Tyrone E.; Mandl, Petr; Pasik-Duncan, Bożenna 1 1992 Limit theorems of probability theory and optimality in linear controlled systems with quadratic cost. Zbl 0637.93078 Mandl, Petr 1 1987 On adaptive control of Markov processes. Zbl 0639.60049 Mandl, Petr; Romera Ayllón, M. Rosario 1 1987 On self-optimizing control of Markov processes. Zbl 0577.93070 Mandl, Petr 1 1985 Asymptotic ordering of probability distributions for linear controlled systems with quadratic cost. Zbl 0588.93070 Mandl, Petr 1 1986 On the control of a Markov chain in the presence of unknown parameters. Zbl 0284.60078 Mandl, Petr 1 1973 Les propriétés limites des répartitions de probabilité des processus de Markov bornés. Zbl 0099.12004 Mandl, Petr 1 1960 Asymptotically optimal controls of Markov processes involving unknown parameters. Zbl 0356.62067 Mandl, Petr 1 1974 The use of optimal stationary policies in the adaptive control of linear systems. Zbl 0365.93017 Mandl, Petr 1 1977 Elements of stochastic analysis. Zbl 0382.60002 Mandl, Petr 1 1978 Consistency of estimators in controlled systems. Zbl 0689.93059 Mandl, Petr 1 1989 Water storage models based on transformed normal distribution. Zbl 0428.62058 Mandl, Petr 1 1979 On the sequential improvement of replacement policies. Zbl 0431.60086 Mandl, Petr 1 1979 A note on sampling and parameter estimation in linear stochastic systems. Zbl 1136.93443 Duncan, T. E.; Mandl, P.; Pasik-Duncan, B. 4 1999 Numerical differentiation and parameter estimation in higher-order linear stochastic systems. Zbl 0855.93078 Duncan, Tyrone E.; Mandl, Petr; Pasik-Duncan, Boźenna 6 1996 Harmonic analysis of pension funding methods. Zbl 0853.62083 Mandl, Petr; Mazurová, Lucie 4 1996 On statistical sampling for system testing. Zbl 0800.93182 Duncan, T. E.; Mandl, P.; Pasik-Duncan, B. 1 1994 On least squares estimation in continuous time linear stochastic systems. Zbl 0781.93085 Duncan, Tyrone E.; Mandl, Petr; Pasik-Duncan, Bożenna 1 1992 Two extensions of asymptotic methods in controlled Markov chains. Zbl 0754.60081 Mandl, Petr; Laušmanová, Monika 1 1991 On exponentially discounted adaptive control. Zbl 0714.93046 Duncan, Tyrone E.; Mandl, Petr; Pasik-Duncan, Bożenna 2 1990 Consistency of estimators in controlled systems. Zbl 0689.93059 Mandl, Petr 1 1989 On the consistency of a least squares identification procedure. Zbl 0657.93072 Mandl, Petr; Duncan, Tyrone E.; Pasik-Duncan, Bożenna 5 1988 On controlled Markov processes with average cost criterion. Zbl 0633.90090 Mandl, Petr; Romera Ayllon, M. Rosario 4 1987 Some connections between statistics and control theory. Zbl 0642.93066 Mandl, Petr 2 1987 Limit theorems of probability theory and optimality in linear controlled systems with quadratic cost. Zbl 0637.93078 Mandl, Petr 1 1987 On adaptive control of Markov processes. Zbl 0639.60049 Mandl, Petr; Romera Ayllón, M. Rosario 1 1987 Asymptotic ordering of probability distributions for linear controlled systems with quadratic cost. Zbl 0588.93070 Mandl, Petr 1 1986 Transient phenomena and self-optimizing control of Markov chains. Zbl 0618.90096 Mandl, Petr; Hübner, Gerhard 2 1985 Local asymptotic normality in controlled Markov chains. Zbl 0582.62077 Mandl, P. 2 1985 On self-optimizing control of Markov processes. Zbl 0577.93070 Mandl, Petr 1 1985 Self-optimizing control of Markov processes and Markov potential theory. Zbl 0565.60064 Mandl, Petr 5 1984 On the adaptive control of countable Markov chains. Zbl 0439.60069 Mandl, Petr 8 1979 On aggregating controlled Markov chains. Zbl 0431.93063 Mandl, Petr 2 1979 Water storage models based on transformed normal distribution. Zbl 0428.62058 Mandl, Petr 1 1979 On the sequential improvement of replacement policies. Zbl 0431.60086 Mandl, Petr 1 1979 Elements of stochastic analysis. Zbl 0382.60002 Mandl, Petr 1 1978 The use of optimal stationary policies in the adaptive control of linear systems. Zbl 0365.93017 Mandl, Petr 1 1977 Estimation and control in Markov chains. Zbl 0281.60070 Mandl, P. 52 1974 On the asymptotic normality of the reward in a controlled Markov chain. Zbl 0355.90072 Mandl, P. 3 1974 Asymptotically optimal controls of Markov processes involving unknown parameters. Zbl 0356.62067 Mandl, Petr 1 1974 A connection between controlled Markov chains and martingales. Zbl 0265.60060 Mandl, Petr 11 1973 On the adaptive control of finite state Markov processes. Zbl 0273.60050 Mandl, Petr 2 1973 On the control of a Markov chain in the presence of unknown parameters. Zbl 0284.60078 Mandl, Petr 1 1973 On the variance in controlled Markov chains. Zbl 0215.25902 Mandl, Petr 15 1971 Some results on Markovian replacement processes. Zbl 0222.60058 Mandl, Petr 3 1971 Decomposable non-negative matrices in a dynamic programming problem. Zbl 0209.22902 Mandl, Petr 2 1970 The theory of non-negative matrices in a dynamic programming problem. Zbl 0185.08003 Mandl, P.; Seneta, E. 7 1969 An identity for Markovian replacement processes. Zbl 0192.55203 Mandl, Petr 6 1969 Analytical treatment of one-dimensional Markov processes. Zbl 0179.47802 Mandl, Petr 180 1968 An iterative method for maximizing the characteristic root of positive matrices. Zbl 0189.03003 Mandl, Petr 2 1967 On the control of a Wiener process for a limited number of switchings. Zbl 0178.19401 Mandl, P. 2 1967 Application des systèmes à liaisons complètes à un problème de réglage. Zbl 0154.43001 Iosifescu, M.; Mandl, P. 2 1966 On the control of non-terminating diffusion processes. Zbl 0134.34403 Mandl, Petr 4 1965 Spectral theory of semi-groups connected with diffusion processes and its application. Zbl 0115.13503 Mandl, Petr 22 1961 Sur le comportement asymptotique des probabilites dans les ensembles des etats d’un processus de Markov homogene. Zbl 0129.10802 Mandl, P. 5 1960 Les propriétés limites des répartitions de probabilité des processus de Markov bornés. Zbl 0099.12004 Mandl, Petr 1 1960 Sur le comportement asymptotique des probabilités dans les ensembles des états d’une chaîne de Markov homogène. Zbl 0087.13601 Mandl, Petr 5 1959 all cited Publications top 5 cited Publications all top 5 Cited by 359 Authors 18 Hernández-Lerma, Onésimo 13 Mandl, Petr 7 Bobrowski, Adam 6 Alvarez, Luis H. R. 6 Borkar, Vivek Shripad 6 Freidlin, Mark I. 6 Groh, Jürgen 6 Koralov, Leonid B. 6 Marcus, Steven I. 6 Sladký, Karel 6 Weber, Matthias 5 Cavazos-Cadena, Rolando 5 Kunderová, Pavla 5 Minjárez-Sosa, Jesus Adolfo 5 Pasik-Duncan, Bozenna 4 Duncan, Tyrone E. 4 Gillespie, John H. 4 Kolb, Martin 4 Polunchenko, Aleksey S. 4 Valentim, Fábio Júlio 4 Zhu, Quanxin 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 Pollett, Philip K. 3 Prieto-Rumeau, Tomás 3 Puterman, Martin L. 3 Rösler, Uwe 3 San Martín, Jaime 3 Schütze, Dieter 3 Simas, Alexandre B. 3 Steinsaltz, David R. 2 Anulova, Svetlana 2 Ata, Baris 2 Bhattacharya, Rabi N. 2 Cianfrani, Francesco 2 Collet, Pierre 2 Del Grosso, Gabriella 2 Dolgopyat, Dmitry 2 Florens-Zmirou, Danielle 2 Ghosh, Mrinal Kanti 2 Goldys, Beniamin 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 Maslowski, Bohdan 2 Mboup, Mamadou 2 Mendoza-Pérez, Armando Felipe 2 Novikov, Alexei 2 Robin, Maurice 2 Romera Ayllón, M. Rosario 2 Rosenkrantz, Walter Abraham 2 Schäl, Manfred 2 Scheutzow, Michael K. R. 2 Sokolichin, A. A. 2 Spiliopoulos, Konstantinos V. 2 van Doorn, Erik A. 2 Villemonais, Denis 2 Wentzell, Alexander Dmitrievich 2 Yamato, Kosuke 2 Zervos, Mihail 2 Zhang, Hanjun 2 Zuckerman, Dror 1 Alaffita-Hernández, F. A. 1 Albeverio, Sergio A. 1 Alvarez E., Luis H. R. 1 Alwan, Amir Anastasios 1 Amir, Rabah 1 Arendt, Wolfgang 1 Arlotto, Alessandro 1 Arnaudon, Marc 1 Azencott, Robert 1 Baccelli, François Louis 1 Bagchi, Arunabha 1 Barret, Florent 1 Bátkai, András 1 Bauer, Michel 1 Ben Amor, Ali 1 Berestycki, Henri 1 Berman, Simeon M. 1 Bernard, Denis 1 Berstein, Andrey 1 Bielecki, Tomasz R. 1 Bierth, Karl-Josef ...and 259 more Authors all top 5 Cited in 124 Serials 26 Stochastic Processes and their Applications 21 Kybernetika 15 Journal of Mathematical Analysis and Applications 14 Mathematische Nachrichten 13 Journal of Optimization Theory and Applications 11 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 7 The Annals of Probability 6 Statistics & Probability Letters 6 Probability Theory and Related Fields 5 Stochastics 5 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 5 Applied Mathematics and Optimization 5 Journal of Applied Probability 5 Theoretical Population Biology 5 Systems & Control Letters 5 The Annals of Applied Probability 5 Electronic Journal of Probability 5 Mathematical Methods of Operations Research 4 Automatica 4 Insurance Mathematics & Economics 4 Acta Applicandae Mathematicae 4 European Journal of Operational Research 4 Linear Algebra and its Applications 3 Journal of Statistical Physics 3 Mathematical Biosciences 3 Czechoslovak Mathematical Journal 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 Journal of Theoretical Probability 3 Mathematical and Computer Modelling 3 Queueing Systems 3 Annals of Operations Research 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 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Test 2 Mathematical Finance 2 Stochastics 2 Naval Research Logistics Quarterly 2 Journal of Theoretical Biology 1 Archive for Rational Mechanics and Analysis 1 The Canadian Journal of Statistics 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 Studia Mathematica 1 Ukrainian Mathematical Journal 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 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 Applied Mathematics and Computation 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 INFOR 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of Mathematical Psychology 1 Journal of Multivariate Analysis 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 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 SIAM Journal on Mathematical Analysis 1 Zeitschrift für Operations Research. Serie A: Theorie 1 ZOR. Zeitschrift für Operations Research ...and 24 more Serials all top 5 Cited in 34 Fields 216 Probability theory and stochastic processes (60-XX) 79 Systems theory; control (93-XX) 69 Operations research, mathematical programming (90-XX) 40 Statistics (62-XX) 33 Partial differential equations (35-XX) 27 Operator theory (47-XX) 25 Biology and other natural sciences (92-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Ordinary differential equations (34-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Numerical analysis (65-XX) 7 Functional analysis (46-XX) 6 Quantum theory (81-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Potential theory (31-XX) 4 Fluid mechanics (76-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Differential geometry (53-XX) 2 Computer science (68-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 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.