Diffusion approximation of statistical experiments with persistent non-linear regression and equilibrium
DOI:
https://doi.org/10.15407/dopovidi2014.08.028Keywords:
diffusion approximation, equilibrium, non-linear regressionAbstract
We propose an approximation of statistical experiments with persistent non-linear regression and equilibrium by Markov processes in the discrete-continuous time: k = [Nt], 0 ≤ t ≤ T , for which the diffusion approximation of an Ornstein–Uhlenbeck type process with continuous time is constructed.
Downloads
References
Koroliouk D. V. Dopov. Nac. akad. nauk Ukr., 2014, No 3: 18–24 (in Russian).
Koroliouk D. V. Ukr. mat. vestn., 2013, 10, No 4: 497–506 (in Russian).
Ethier S. N., Kurtz T. G. Markov processes: characterization and convergence, New York: Wiley, 1986. https://doi.org/10.1002/9780470316658
Skorokhod A.V. Asymptotic methods in the theory of stochastic differential equations, Kiev: Nauk. Dumka, 1987 (in Russian).
Koroliuk V. S., Limnios N. Stochastic systems in merging phase, Singapore; London: Space, World Scientific, 2005. https://doi.org/10.1142/5979
Gikhman I. I., Skorokhod A. V. Stochastic differential equations and their applications, Kyiv: Nauk. dumka, 1982 (in Russian).
Koroliuk D. V. Teoriia imovirnostei i matem. statystyka, 2014, No 91 (in Ukrainian).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Reports of the National Academy of Sciences of Ukraine

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

