Kostiantyn Ralchenko

• Fractional and multifractional random processes and fields
  
• Stochastic differential equations
  
• Statistical inference for stochastic processes
  

• Member of International Statistical Institute
  

Conferences

• Statistics, modeling and operations research (SMOR) seminar, The University of Queensland, Brisbane, Australia, February 23 (2023)
  Title of the talk: Parameter estimation in stochastic heat equation with fractional Brownian motion
• Stochastics and Finance seminar, The University of Sydney, Sydney, Australia, March 7 (2023)
  Title of the talk: Drift parameters estimation in the fractional Vasicek model
• Int. Workshop “Stochastic processes with statistical applications and fractional stochastic calculus”, Kyiv, Ukraine, May 17 (2023)
  Title of the talk: Parameter estimation in mixed fractional models
• Business analytics seminar, The University of Sydney Business School, Sydney, Australia, May 19 (2023)
  Title of the talk: Joint estimation of all parameters for mixed fractional Brownian motion with trend
• MATRIX research program “Mathematics of Risk – 2022” (October 31 - November 11, 2022), Creswick, Australia (2022)
• Int. Workshop “Statistics of Stochastic Processes in Discrete and Continuous Time” (October 11-12, 2022), Kyiv, Ukraine (2022)
• Statistics Working Group & Biostatistics Seminar, Macquarie University, Sydney, Australia, December 6 (2022)
  Title of the talk: Drift parameter estimation in discretised stochastic differential equations driven by fractional Brownian motion
• Conf. “Actual Problems of Stochastic Analysis” dedicated to the 80th anniversary of Academician Sh. K. Formanov (February 20-21, 2021) , Tashkent, Uzbekistan (2021)
• International Scientific Days on Stochastic & Fractional Calculus (April 5-6, 2021), Monastir, Tunisia (2021)
• Int. Conf. “Modern Stochastics: Theory and Applications V” (June 1-4, 2021), Kyiv, Ukraine (2021)
• 8th European Congress of Mathematics (20-26 June 2021), Portorož, Slovenia (2021)
• Workshop “A first bite of STORM” (January 15, 2020), Oslo, Norway (2020)
• Workshop “Stochastic modelling on complex systems: First steps on the long road” (July 2020), Napoli, Italy (2020)
• The 9th Int. Conf. on Informatics and Computer Technics Problems (October 28-31, 2020), Chernivtsi, Ukraine (2020)
• CSA2019 - Conference in Stochastic Analysis and Applications (August 25-30, 2019), Risør, Norway (2019)
• Int. Conf. “Modern Stochastics: Theory and Applications. IV” (May 24-26, 2018), Kyiv, Ukraine (2018)
• 12th International Vilnius Conference on Probability Theory and Mathematical Statistics and 2018 IMS Annual Meeting on Probability and Statistics (July 2-6, 2018), Vilnius, Lithuania (2018)
• 61st ISI World Statistics Congress (July 16-21, 2017), Marrakech, Morocco (2017)
• Int. Conf. on Differential Equations, Mathematical Physics and Applications (October 17-19, 2017), Cherkasy, Ukraine (2017)
• 11th Int. Conf. “Computer Data Analysis & Modeling 2016: Theoretical & Applied Stochastics” (September 6-10, 2016), Minsk, Belarus (2016)
• Limit Theorems in Probability Theory, Number Theory and Mathematical Statistics : Int. workshop in honour of Prof. V.V. Buldygin (October 10-12, 2016), Kyiv, Ukraine (2016)
• Int. Conf. “Probability, Reliability and Stochastic Optimization” (April 7-10, 2015), Kyiv, Ukraine (2015)
• Workshop “Statistique Asymptotique des Processus Stochastiques X” (17-20 Mars 2015), Le Mans, France (2015)

Publications

Monographs

• Y. Mishura, K. Ralchenko "Discrete-time approximations and limit theorems: In applications to financial markets". De Gruyter, 390 p. - 2021
• O. Banna, Y. Mishura, K. Ralchenko, S. Shklyar "Fractional Brownian Motion: Approximations and Projections". ISTE Ltd. & Wiley, 288 p. - 2019
• K. Kubilius, Y. Mishura, K. Ralchenko "Parameter Estimation in Fractional Diffusion Models". Bocconi & Springer Series, vol. 8. Springer, 390 p. - 2017

Textbooks and tutorials

• Ю.С.Мішура, К.В.Ральченко, Л.М.Сахно, Г.М.Шевченко "Випадкові процеси: теорія, статистика, застосування. 2-ге вид., випр. і допов.". ВПЦ "Київський університет", 496 p. - 2023
• В.В. Голомозий, Ю.С. Мішура, К.В. Ральченко, М.В. Карташов, О.Г. Кукуш, С.В. Кушніренко, Г.М. Шевченко "Збірник задач з теорії ймовірностей". , 214 p. - 2023
• Ю.С.Мішура, К.В.Ральченко, Л.М.Сахно, Г.М.Шевченко "Випадкові процеси: теорія, статистика, застосування". К., Видавничо-полiграфiчний центр «Київський унiверситет», 480 p. - 2018
• В.В.Голомозий, М.В.Карташов, К.В.Ральченко. "Методичні вказівки до самостiйних та лабораторних робiт з дисциплiни «Додатковi роздiли теорiї ймовiрностей»". К., Видавничо-полiграфiчний центр «Київський унiверситет», 23 p. - 2015
• В.В.Голомозий, М.В.Карташов, К.В.Ральченко. "Збірник задач з теорії ймовірностей та математичної статистики". К., Видавничо-полiграфiчний центр «Київський унiверситет», 366 p. - 2015
• О.І.Василик, М.В.Карташов, В.П.Кнопова, К.В.Ральченко, А.Ю.Рижов, Г.М.Шевченко. "Методичні вказівки до лабораторних та самостiйних робiт із дисциплiни «Математична статистика»". К., Видавничо-полiграфiчний центр «Київський унiверситет», 84 p. - 2014

Articles

2023
• D. Avetisian, K. Ralchenko "Parameter estimation in mixed fractional stochastic heat equation". Modern Stochastics: Theory and Applications, Vol.10, Iss.2 pp. 175 - 195, - 2023
• O. Chernova, O. Dehtiar, Y. Mishura, K. Ralchenko "Rate of convergence of discretized drift parameters estimators in the Cox–Ingersoll–Ross model". Communications in Statistics – Theory and Methods, - 2023
• A. Malyarenko, Y. Mishura, K. Ralchenko, S. Shklyar "Entropy and alternative entropy functionals of fractional Gaussian noise as the functions of Hurst index". Fractional Calculus and Applied Analysis, Vol.26, Iss.3 pp. 1052 - 1081, - 2023
• Y. Mishura, K. Ralchenko, S. Shklyar "Gaussian Volterra processes: Asymptotic growth and statistical estimation". Theory of Probability and Mathematical Statistics, Vol.108, Iss. pp. 149 - 167, - 2023
• K. Ralchenko, M. Yakovliev "Asymptotic normality of parameter estimators for mixed fractional Brownian motion with trend". Austrian Journal of Statistics, Vol.52, Iss. pp. 127 - 148, - 2023
2022
• O. Dehtiar, Yu. Mishura, K. Ralchenko "Two methods of estimation of the drift parameters of the Cox-Ingersoll-Ross process: continuous observations". Communications in Statistics - Theory and Methods, Vol.51, Iss.19 pp. 6818 - 6833, - 2022
• A. Kukush, Y. Mishura, S. Lohvinenko, K. Ralchenko "Two approaches to consistent estimation of parameters of mixed fractional Brownian motion with trend". Statistical Inference for Stochastic Processes, Vol.25, Iss.1 pp. 159 - 187, - 2022
• G. Di Nunno, Yu. Mishura, K. Ralchenko "Stochastic differential equations driven by additive Volterra–Lévy and Volterra–Gaussian noises". In: Malyarenko, A., Ni, Y., Rančić, M., Silvestrov, S. (eds) Stochastic Processes, Statistical Methods, and Engineering Mathematics. SPAS 2019. Springer Proceedings in Mathematics & Statistics, vol 408. Springer, Cham, pp. 277 - 323, - 2022
• Yu. Mishura, K. Ralchenko, O. Dehtiar "Parameter estimation in CKLS model by continuous observations". Statistics & Probability Letters, Vol. 184, 109391, 10 pp., - 2022
• Yu. Mishura, K. Ralchenko, H. Zhelezniak "Numerical approach to the drift parameter estimation in the model with two fractional Brownian motions". Communications in Statistics - Simulation and Computation , - 2022
• Yu. Mishura, K. Ralchenko and R.L. Schilling "Analytical and computational problems related to fractional Gaussian noise". Fractal and Fractional. Vol. 6, no. 11:620, - 2022
• O. Prykhodko, K. Ralchenko "Strongly consistent estimation of all parameters in the Vasicek model by discrete observations". Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics & Mathematics, pp. 26 - 30, - 2022
2021
• Yu. Mishura, K. Ralchenko, M. Zili, E. Zougar "Fractional stochastic heat equation with piecewise constant coefficients". Stochastics and Dynamics, Vol. 21, No. 1, 2150002 (39 pages), - 2021
• D. A. Avetisian, K. V. Ralchenko "Estimation of the Hurst and diffusion parameters in fractional stochastic heat equation". Theory of Probability and Mathematical Statistics, Vol. 104, pp. 61 - 76, - 2021
2020
• Y. Mishura, K. Ralchenko, M. Zili "On mild and weak solutions for stochastic heat equations with piecewise-constant conductivity". Statistics and Probability Letters, Vol. 159, 108682, 9 pp., - 2020
• Y. Mishura, K. Ralchenko, S. Shklyar "General conditions of weak convergence of discrete-time multiplicative scheme to asset price with memory". Risks, Vol. 8(1), 11, - 2020
• D. Avetisian, K. Ralchenko "Ergodic properties of the solution to a fractional stochastic heat equation, with an application to diffusion parameter estimation". Modern Stochastics: Theory and Applications, Vol. 7(3), pp. 339 - 356, - 2020
2019
• S. Lohvinenko, K. Ralchenko "Asymptotic distribution of the maximum likelihood estimator in the fractional Vasicek model". Theory of Probability and Mathematical Statistics, Vol. 99, pp. 149 - 168, - 2019
• Yu. Mishura, K. Ralchenko, G. Shevchenko "Existence and uniqueness of mild solution to stochastic heat equation with white and fractional noises". Theory of Probability and Mathematical Statistics, Vol. 98, pp. 149 - 170, - 2019
• K. Ralchenko, G. Shevchenko "Existence and uniqueness of mild solution to fractional stochastic heat equation". Modern Stochastics: Theory and Applications, Vol. 6(1), pp. 57 - 79, - 2019
• S. Lohvinenko, K. Ralchenko "Maximum likelihood estimation in the non-ergodic fractional Vasicek model". Modern Stochastics: Theory and Applications, Vol. 6(3), pp. 377 - 395, - 2019
2018
• M. Dozzi, Y. Kozachenko, Y. Mishura, K. Ralchenko "Asymptotic growth of trajectories of multifractional Brownian motion, with statistical applications to drift parameter estimation". Stat. Inference Stoch. Process., Vol. 21(1), pp. 21 - 52, - 2018
• M. Bel Hadj Khlifa, Yu. Mishura, K. Ralchenko, G. Shevchenko, M. Zili "Stochastic differential equations with generalized stochastic volatility and statistical estimators". Theory Probab. Math. Statist., Vol. 96, pp. 1 - 13, - 2018
• Y. Mishura, K. Ralchenko, S. Shklyar "Maximum likelihood estimation for Gaussian process with nonlinear drift". Nonlinear Anal. Model. Control, Vol. 23(1), pp. 120 - 140, - 2018
• Yu. S. Mishura, V. I. Piterbarg, K. V. Ralchenko, A.Yu. Yurchenko-Tytarenko "Stochastic representation and path properties of a fractional Cox–Ingersoll–Ross process". Theory Probab. Math. Statist., Vol. 97, pp. 167 - 182, - 2018
• Y. Mishura, K. Ralchenko, S. Shklyar "Parameter estimation for Gaussian processes with application to the model with two independent fractional Brownian motions". In Stochastic Processes and Applications, SPAS2017, Västerås and Stockholm, Sweden, October 4-6, 2017, Vol. 271 of Springer Proceedings in Mathematics & Statistics, Springer, Cham, pp. 123 - 146, - 2018
2017
• A. Kukush, Y. Mishura, K. Ralchenko "Hypothesis testing of the drift parameter sign for fractional Ornstein–Uhlenbeck process". Electron. J. Statist., Vol. 11(1), pp. 385 - 400, - 2017
• K. Kubilius, V. Skorniakov, K. Ralchenko "The rate of convergence of the Hurst index estimate for a stochastic differential equation". Nonlinear Anal. Model. Control, Vol. 22(2), pp. 273 - 284, - 2017
• Y. Mishura, K. Ralchenko, S. Shklyar "Maximum likelihood drift estimation for Gaussian process with stationary increments". Austrian J. Statist., Vol. 46(3-4), pp. 67 - 78, - 2017
• Yu. Mishura, K. Ralchenko "Drift parameter estimation in the models involving fractional Brownian motion". In Modern Problems of Stochastic Analysis and Statistics, Vol. 208 of Springer Proceedings in Mathematics & Statistics, Springer, Cham, pp. 237 - 268, - 2017
• S. Lohvinenko, K. Ralchenko "Maximum likelihood estimation in the fractional Vasicek model". Lithuanian J. Statist., Vol. 56(1), pp. 77 - 87, - 2017
2016
• S. Lohvinenko, K. Ralchenko, O. Zhuchenko "Asymptotic properties of parameter estimators in fractional Vasicek model". Lithuanian J. Statist., Vol. 55(1), pp. 102 - 111, - 2016
• G. Di Nunno, Y. Mishura, K. Ralchenko "Fractional calculus and pathwise integration for Volterra processes driven by Lévy and martingale noise". Fract. Calc. Appl. Anal., Vol. 19(6), pp. 1356 - 1392, - 2016
• M. Bel Hadj Khlifa, Y. Mishura, K. Ralchenko, M. Zili "Drift parameter estimation in stochastic differential equation with multiplicative stochastic volatility". Mod. Stoch. Theory Appl., Vol. 3(4), pp. 269 - 285, - 2016
2015
• I. Molchanov, K. Ralchenko "Multifractional Poisson process, multistable subordinator and related limit theorems". Stat. Probab. Lett., Vol. 96, pp. 95 - 101, - 2015
• K. Ralchenko "Asymptotic normality of discretized maximum likelihood estimator for drift parameter in homogeneous diffusion model". Mod. Stoch. Theory Appl., Vol. 2(1), pp. 17 - 28, - 2015
• I.Molchanov, K. Ralchenko "A generalisation of the fractional Brownian field based on non-Euclidean norms". J. Math. Anal. Appl., Vol. 430(1), pp. 262 - 278, - 2015
• K. Kubilius, Y. Mishura, K. Ralchenko, O. Seleznjev "Consistency of the drift parameter estimator for the discretized fractional Ornstein–Uhlenbeck process with Hurst index H∊(0,1/2)". Electron. J. Statist., Vol. 9(2), pp. 1799 - 1825, - 2015
2014
• Yu. Mishura, K. Ralchenko "On drift parameter estimation in models with fractional Brownian motion by discrete observations". Austrian J. Statist., Vol. 43(3-4), pp. 217 - 228, - 2014
• Y. Mishura, K. Ralchenko, O. Seleznev, G. Shevchenko "Asymptotic properties of drift parameter estimator based on discrete observations of stochastic differential equation driven by fractional Brownian motion". In Modern Stochastics and Applications, Volume 90 of Springer Optimization and Its Applications, pp. 303 - 318, - 2014
2012
• K.V.Ralchenko, G.M.Shevchenko "Smooth approximations for fractional and multifractional fields". Random Oper. Stoch. Equ., Vol. 20(3), pp. 209 - 232, - 2012
2011
• К. В. Ральченко "Наближення мультифрактальних процесiв i полiв абсолютно неперервними процесами". Доповіді НАН України, № 7, pp. 27 - 31, - 2011
• K.V.Ralchenko "Approximation of multifractional Brownian motion by absolutely continuous processes". Theory Probab. Math. Stat., Vol. 82, pp. 115 - 127, - 2011
• K.V.Ralchenko, G.M.Shevchenko "Approximation of solutions of stochastic differential equations with fractional Brownian motion by solutions of random ordinary differential equations". Ukr. Math. J., Vol. 62(9), pp. 1460 - 1475, - 2011
2010
• K.V.Ralchenko, G.M.Shevchenko "Path properties of multifractal Brownian motion". Theory Probab. Math. Stat., Vol. 80, pp. 119 - 130, - 2010
2007
• K.V.Ralchenko "Two-parameter Garsia-Rodemich-Rumsey inequality and its application to fractional Brownian fields". Theory Probab. Math. Stat., Vol. 75, pp. 167 - 178, - 2007

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