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## Lachout, Petr

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 Author ID: lachout.petr Published as: Lachout, P.; Lachout, Petr External Links: ORCID
 Documents Indexed: 42 Publications since 1985, including 1 Book Reviewing Activity: 84 Reviews
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#### Co-Authors

 29 single-authored 3 Vogel, Silvia 2 Boček, Pavel 1 Branda, Martin 1 Cipra, Tomáš 1 Dupačová, Jitka 1 Hurt, Jan 1 Janžura, Martin 1 Kaňková, Vlasta 1 Kopa, Miloš 1 Liebscher, Eckhard 1 Paulauskas, Vygantas Ionovič 1 Pfeifer, Dietmar 1 Prášková, Zuzana 1 Šindelář, Jan 1 Studený, Milan
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#### Serials

 12 Kybernetika 5 Acta Universitatis Carolinae. Mathematica et Physica 4 Commentationes Mathematicae Universitatis Carolinae 3 Tatra Mountains Mathematical Publications 2 Annals of Operations Research 2 Informatica (Vilnius) 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Annals of the Institute of Statistical Mathematics 1 Ekonomicko-Matematicky Obzor 1 Operations Research Letters 1 Acta Applicandae Mathematicae 1 Statistics & Decisions 1 Pokroky Matematiky, Fyziky & Astronomie 1 Computational Statistics and Data Analysis 1 Mathematical Methods of Statistics 1 PAMM. Proceedings in Applied Mathematics and Mechanics
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#### Fields

 26 Probability theory and stochastic processes (60-XX) 16 Statistics (62-XX) 16 Operations research, mathematical programming (90-XX) 3 Measure and integration (28-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 Numerical analysis (65-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

16 Publications have been cited 48 times in 41 Documents Cited by Year
Strong convergence of estimators as $$\varepsilon_n$$-minimisers of optimisation problems. Zbl 1085.62026
Lachout, Petr; Liebscher, Eckhard; Vogel, Silvia
2005
On continuous convergence and epi-convergence of random functions. I: Theory and relations. Zbl 1249.90184
Vogel, Silvia; Lachout, Petr
2003
Linear programming approach to LMS-estimation. Zbl 0875.62292
Boček, P.; Lachout, P.
1995
Convergence rate of empirical estimates in stochastic programming. Zbl 0906.90133
Kaňková, Vlasta; Lachout, Petr
1992
On continuous convergence and epi-convergence of random functions. II: Sufficient conditions and applications. Zbl 1249.90185
Vogel, Silvia; Lachout, Petr
2003
Approximative solutions of stochastic optimization problems. Zbl 1229.90110
Lachout, Petr
2010
A central limit theorem for stationary random fields. Zbl 0853.60024
Janžura, M.; Lachout, P.
1995
On multifunction transforms of probability measures. Zbl 0862.60005
Lachout, Petr
1995
Billingsley-type tightness criteria for multiparameter stochastic processes. Zbl 0665.60009
Lachout, Petr
1988
A note on the martingale central limit theorem. Zbl 0585.60027
Lachout, Petr
1985
Stability of stochastic optimization problems – nonmeasurable case. Zbl 1154.90559
Lachout, Petr
2008
Epi-convergence almost surely, in probability and in distribution. Zbl 1122.49016
Lachout, Petr
2006
Contemporary econometrics a as part of mathematics. Zbl 1045.62119
Prášková, Zuzana; Cipra, Tomáš; Dupačová, Jitka; Lachout, Petr
2000
On the second-order asymptotic distribution of $$M$$-estimators. Zbl 0998.62007
Lachout, Petr; Paulauskas, Vygantas
2000
A Skorohod space of discontinuous functions on a general set. Zbl 0787.60043
Lachout, Petr
1992
A martingale central limit theorem. Zbl 0633.60038
Lachout, Petr
1986
Approximative solutions of stochastic optimization problems. Zbl 1229.90110
Lachout, Petr
2010
Stability of stochastic optimization problems – nonmeasurable case. Zbl 1154.90559
Lachout, Petr
2008
Epi-convergence almost surely, in probability and in distribution. Zbl 1122.49016
Lachout, Petr
2006
Strong convergence of estimators as $$\varepsilon_n$$-minimisers of optimisation problems. Zbl 1085.62026
Lachout, Petr; Liebscher, Eckhard; Vogel, Silvia
2005
On continuous convergence and epi-convergence of random functions. I: Theory and relations. Zbl 1249.90184
Vogel, Silvia; Lachout, Petr
2003
On continuous convergence and epi-convergence of random functions. II: Sufficient conditions and applications. Zbl 1249.90185
Vogel, Silvia; Lachout, Petr
2003
Contemporary econometrics a as part of mathematics. Zbl 1045.62119
Prášková, Zuzana; Cipra, Tomáš; Dupačová, Jitka; Lachout, Petr
2000
On the second-order asymptotic distribution of $$M$$-estimators. Zbl 0998.62007
Lachout, Petr; Paulauskas, Vygantas
2000
Linear programming approach to LMS-estimation. Zbl 0875.62292
Boček, P.; Lachout, P.
1995
A central limit theorem for stationary random fields. Zbl 0853.60024
Janžura, M.; Lachout, P.
1995
On multifunction transforms of probability measures. Zbl 0862.60005
Lachout, Petr
1995
Convergence rate of empirical estimates in stochastic programming. Zbl 0906.90133
Kaňková, Vlasta; Lachout, Petr
1992
A Skorohod space of discontinuous functions on a general set. Zbl 0787.60043
Lachout, Petr
1992
Billingsley-type tightness criteria for multiparameter stochastic processes. Zbl 0665.60009
Lachout, Petr
1988
A martingale central limit theorem. Zbl 0633.60038
Lachout, Petr
1986
A note on the martingale central limit theorem. Zbl 0585.60027
Lachout, Petr
1985
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#### Cited by 49 Authors

 7 Lachout, Petr 4 Liebscher, Eckhard 4 Vogel, Silvia 3 Kaňková, Vlasta 3 Víšek, Jan Ámos 2 Arvanitis, Stelios 2 Aswani, Anil 2 Branda, Martin 2 Dentcheva, Darinka 2 Volný, Dalibor 1 Avendano, Martin 1 Avramidis, Antonios 1 Banys, Povilas 1 Beken, Donald E. 1 Boček, Pavel 1 Draper, Norman R. 1 Gauchi, Jean-Pierre 1 González, Humberto A. 1 Houda, Michal 1 Huang, XiaoLin 1 Ibrahim, Ashraf S. 1 Janžura, Martin 1 Koivu, Matti 1 Louka, Alexandros 1 Nguyen, Hung Trung 1 Omelka, Marek 1 Pei, Bin 1 Pelckmans, Kristiaan 1 Pennanen, Teemu 1 Rojas, J. Maurice 1 Rusek, Korben 1 Sastry, S. Shankar 1 Schmalfuß, Björn 1 Schweer, Sebastian 1 Seguin, Brian 1 Shi, Lei 1 Šmíd, Martin 1 Suykens, Johan A. K. 1 Tichavský, Petr 1 Tomlin, Claire J. 1 Vila, Jean-Pierre 1 Wang, Yangeng 1 Wei, Guo 1 Woodroofe, Michael Barrett 1 Xu, Yong 1 Zambom, Adriano Zanin 1 Zhang, Xiaoyu 1 Zhao, Feifei 1 Zioutas, Georgios
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#### Cited in 25 Serials

 12 Kybernetika 3 Annals of the Institute of Statistical Mathematics 3 Communications in Statistics. Theory and Methods 2 Mathematical Programming. Series A. Series B 1 Journal of Mathematical Analysis and Applications 1 Lithuanian Mathematical Journal 1 Applied Mathematics and Optimization 1 Automatica 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Statistics & Probability Letters 1 Journal of Time Series Analysis 1 Stochastic Analysis and Applications 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Symbolic Computation 1 International Journal of Approximate Reasoning 1 Annals of Operations Research 1 Journal of Global Optimization 1 Stochastic Processes and their Applications 1 Computational Statistics and Data Analysis 1 Test 1 Methodology and Computing in Applied Probability 1 Optimization Letters 1 Journal of Mathematics
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#### Cited in 15 Fields

 23 Statistics (62-XX) 15 Operations research, mathematical programming (90-XX) 13 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 1 Field theory and polynomials (12-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX)