Publications - Petr Lachout | Department of Pattern Recognition

Books and chapters (3)


	1. * Z. Prášková, Petr Lachout: Základy náhodných procesů. Karolinum, Praha 1998.
	2. * Petr Lachout: Teorie pravděpodobnosti. Karolinum, Praha 1998.
	3. * Petr Lachout, Jiří Michálek, Milan Ullrich, Jan Ámos Víšek, Petr Volf: Základy teorie pravděpodobnosti. ČVUT, Praha 1991.

Journal articles (24)


	1. * Petr Lachout: Approximative solutions of stochastic optimization problem. Kybernetika 46:3 (2010), 513-523. Ústav teorie informace a automatizace AV ČR, v. v. i.. Download
	2. * T. Funda, M. Lstibůrek, Petr Lachout, J. Klápště, Y. A. El-Kassaby: Optimization of combined genetic gain and diversity for collection and deployment of seed orchards crops. Tree Genetics & Genomes 5:4 (2009), 583-593. Download
	3. * Petr Lachout: Stability of stochastic optimization problem - nonmeasurable case. Kybernetika 44:2 (2008), 259-276. Ústav teorie informace a automatizace AV ČR, v. v. i..
	4. * Petr Lachout: Epi-convergence almost surely, in probability and in distribution. Annals of Operations Research 142:1 (2006), 187-214. Springer.
	5. * Petr Lachout: A solution of an equation for indexed functions. Acta Universitatis Carolinae. Mathematica et Physica 45:1 (2004), 3-8.
	6. * Petr Lachout: On linear transformations of Wiener process. Tatra Mountains Mathematical Publications 26:1 (2003), 1-9. Matematický ústav SAV.
	7. * S. Vogel, Petr Lachout: On continuous convergence and epi-convergence of random functions. Part II: Sufficient conditions and applications. Kybernetika 39:1 (2003), 99-118. Ústav teorie informace a automatizace AV ČR, v. v. i..
	8. * S. Vogel, Petr Lachout: On continuous convergence and epi-convergence of random functions. Part I: Theory and relations. Kybernetika 39:1 (2003), 75-98. Ústav teorie informace a automatizace AV ČR, v. v. i..
	9. * J. Hurt, Petr Lachout, D. Pfeifer: On an estimation problem for type I censored spatial poisson processes. Kybernetika 37:1 (2001), 103-108. Ústav teorie informace a automatizace AV ČR, v. v. i..
	10. * Petr Lachout: Linear transformations of Wiener process that born Wiener process, Brownian bridge or Ornstein-Uhlenbeck process. Kybernetika 37:6 (2001), 647-667. Ústav teorie informace a automatizace AV ČR, v. v. i..
	11. * Petr Lachout, V. Paulauskas: On the second-order asymptotic distribution of M-estimators. Statistics & Decisions 18:2 (2000), 231-257.
	12. * Petr Lachout: Weak convergence in Hoffmann-Jorgensen sense. Acta Universitatis Carolinae 37:1 (1996), 3-10.
	13. * Petr Lachout: Periodic transformations of the sample average reciprocal value. Kybernetika 32:5 (1996), 511-520. Ústav teorie informace a automatizace AV ČR, v. v. i..
	14. * Pavel Boček, Petr Lachout: Linear programming approach to LMS-estimation. Computational Statistics and Data Analysis 19:2 (1995), 129-134. Elsevier.
	15. * Petr Lachout: Skorohod's spaces. Commentationes Mathematicae Universitatis Carolinae 36:2 (1995), 63-67.
	16. * Petr Lachout: On multifunction transforms of probability measures. Annals of Operations Research 56, 241-249. Springer.
	17. * Martin Janžura, Petr Lachout: A central limit theorem for stationary random fields. Mathematical Methods of Statistics 4:4 (1995), 463-472.
	18. * Petr Lachout: A general version of Delta Theorem. Commentationes Mathematicae Universitatis Carolinae 35:2 (1994), 51-57.
	19. * Petr Lachout, Milan Studený, Jan Šindelář: On set-valued measures. Informatica 4, 21-44.
	20. * Petr Lachout: On Asymptotic Behaviour of Empirical Processes. Kybernetika 28:4 (1992), 292-308. Ústav teorie informace a automatizace AV ČR, v. v. i..
	21. * Vlasta Kaňková, Petr Lachout: Convergence Rate of Empirical Estimates in Stochastic Programming. Informatica 3:4 (1992), 497-523.
	22. * Petr Lachout: Linear Rescaling of the Stochastic Process. Commentationes Mathematicae Universitatis Carolinae 33:2 (1992), 277-289.
	23. * Petr Lachout: A Skorohod Space of Discontinuous Function on a General Set. Acta Universitatis Carolinae 33:2 (1992), -.
	24. * Petr Lachout: Billingsley-type Tightness Criteria for Multiparameter Stochastic Processes. Kybernetika 24:5 (1988), 363-371.

Conference papers (10)


	1. * Petr Lachout: Stochastic optimization sensitivity without measurability. Proceedings 15th International Scientific Conference on Mathematical Methods in Economics and Industry, 131-136. Univerzita P. J. Šafárika v Košicích, Košice 2007.
	2. * Petr Lachout: Sensitivity of stochastic programs by means of the infimum functional. Prague Stochastics 2006, 495-504. MATFYZPRESS, Praha 2006.
	3. * K. Bauer, Petr Lachout: Total cost of a construction - a mathematical model. Proceedings of the 21th International Conference Mathematical Methods in Economics 2003, 15-19. Czech University of Agriculture, Prague 2003.
	4. * Petr Lachout: Splitting and localization of the epi-topology combined with randomness. Operations Research Proceedings 2002, 419-424. Springer, Berlin 2003.
	5. * Petr Lachout: Parameter estimation based on estimated data. Proceedings of the 19th International Conference on Mathematical Methods in Economics 2001, 119-123. VŠE, Praha 2001.
	6. * Petr Lachout: A note on the goodness-of-fit test in general regression model. Tatra Mountains. 7. Proceedings of the Second International Conference on Mathematical Statistics. PROBASTAT '94, 203-207. Mathematical Institute, Bratislava 1996.
	7. * Petr Lachout: Eficientní odhady a kompenzátor zobecněného bodového procesu. ROBUST 94. Sborník prací zimní školy JČMF, 77-89. JČMF, Praha 1994.
	8. * Petr Lachout, Jan Ámos Víšek: Transactions of the 12th Prague Conference on Information Theory, Statistical Decision Functions, Random Processes. ÚTIA AV ČR, Praha 1994.
	9. * Petr Lachout: Empirical Distribution Function in Regression Model. Transactions of the Eleventh Prague Conference on Information Theory, Statistical Decision Functions, Random Processes, 165-167. Academia, Prague 1992.
	10. * Petr Lachout: Discussion on Weak Convergence in Skorohod Space. Proceedings of the 10th Conference on Probability and Mathematical Statistics. PROBASTAT '91, 404-408. Univerzita Komenského, Bratislava 1992.

Other publications (26)


	1. * Petr Lachout: Consistency of $arepsilon$-estimator without measurability. Research Report 2139. ÚTIA AV ČR, Praha 2005.
	2. * K. Bauer, Petr Lachout: A Mathematical Model for a Total Cost. Research Report 2085. ÚTIA AV ČR, Praha 2003.
	3. * Petr Lachout: Total cost of a construction - a mathematical model. Abstract. Proceedings of Abstracts of Mathematical Methods in Economics, 13. Czech University of Agriculture, Prague 2003.
	4. * Petr Lachout: Linear transformations of Wiener process that born Brownian bridge. Abstract. Abstracts of the 24th European Meeting of Statisticians & 14th Prague Conference on Information Theory, Statistical Decision Functions and Random Processes, 246. Institute of Information Theory and Automation, Prague 2002.
	5. * Petr Lachout: Linear Transmutation of a Wiener Process: Problem Setting and Some Results. Research Report 2052. ÚTIA AV ČR, Praha 2002.
	6. * Petr Lachout: Diferencovatelnost a směrová diferencovatelnost funkce. Abstrakt. ROBUST˙2002. Abstrakta, 9. JČMF, Praha 2002.
	7. * Petr Lachout: Linear Transformation of Wiener Process Giving Wiener Process, Brownian Bridge or Ornstein-Uhlenbeck Process. Research Report 1984. ÚTIA AV ČR, Praha 2000.
	8. * Petr Lachout: Epi-convergence versus Topology: Splitting and Localization. Research Report 1987. ÚTIA AV ČR, Praha 2000.
	9. * S. Vogel, Petr Lachout: On Continuous Convergence and Epi-convergence of Random Functions I. Research Report 1988. ÚTIA AV ČR, Praha 2000.
	10. * S. Vogel, Petr Lachout: On Continuous Convergence and Epi-convergence of Random Functions II. Research Report 1989. ÚTIA AV ČR, Praha 2000.
	11. * Petr Lachout: Distance between Optimization Problems. Research Report 1945. ÚTIA AV ČR, Praha 1999.
	12. * Petr Lachout: The Delta Theorem - Topological Setup. Research Report 1955. ÚTIA AV ČR, Praha 1999.
	13. * Petr Lachout: Evaluation of the Epi-Convergence. HumboldtUniversität, Berlin 1998.
	14. * Petr Lachout, V. Paulauskas: On the Second-Order Asymptotic Distribution of M-Estimators. Research Report 1880. ÚTIA AV ČR, Praha 1996.
	15. * Petr Lachout, V. Paulauskas: On the Second-Order Asymptotic Distribution of M-Estimators. Research Report 95-21. University of Vilnius, Vilnius 1995.
	16. * Petr Lachout: Stability of Equation Solutions. (A Topological Point of View). Research Report 1804. ÚTIA AV ČR, Praha 1994.
	17. * Jan Hanousek, Petr Lachout: Robust Bayes-type version of classical estimators. Working paper series 24. Center for Economic Research and Graduate Education, Charles University, Prague [1993].
	18. * Petr Lachout: Expansion of the Sum. Research Report 1773. ÚTIA AV ČR, Praha 1993.
	19. * Petr Lachout, Milan Studený, Jan Šindelář: On Set-Valued Measures. ÚTIA ČSAV, Praha 1992.
	20. * J. Hanousek, Petr Lachout: Robust Bayes-Type Version of Classical Estimators. ÚTIA ČSAV, Praha 1992.
	21. * Petr Lachout: Linear Rescaling of the Stochastic Process. ÚTIA ČSAV, Praha 1991.
	22. * Petr Lachout: Asymptotics of Empirical Distribution Function Type Processes. ÚTIA ČSAV, Praha 1991.
	23. * Petr Lachout: Empirical Distribution Function Based on Regression Residuals. ÚTIA ČSAV, Praha 1991.
	24. * Petr Lachout: Asymptotics of Empirical Distribution Function in Regression. ÚTIA ČSAV, Praha 1991.
	25. * Petr Lachout: Vícerozměrné self-similar procesy. ÚTIA ČSAV, Praha 1990.
	26. * Petr Lachout: Empirical processes. ÚTIA ČSAV, Praha 1989.

Miscellaneous (1)


	1. * Marie Hušková, Petr Lachout, Jan Ámos Víšek: Prague Stochastics '98. Proceedings. JČMF, Praha 1998.