collaborators

6 papers

math.OC2024

Evolving efficiency of the BRICS markets

Maria V. Kulikova, David R. Taylor, Gennady Yu. Kulikov

This paper investigates a time-varying version of weak-form market efficiency in the BRICS countries. A moving window test for sample autocorrelations is applied alongside a Kalman…

math.NA2024

Continuous-discrete derivative-free extended Kalman filter based on Euler-Maruyama and Itô-Taylor discretizations: Conventional and square-root implementations

Maria V. Kulikova, Gennady Yu. Kulikov

In this paper, we continue to study the derivative-free extended Kalman filtering (DF-EKF) framework for state estimation of continuous-discrete nonlinear stochastic systems. Havin…

math.OC2024

UD-based pairwise and MIMO Kalman-like filtering for estimation of econometric model structures

Maria V. Kulikova, Julia V. Tsyganova, Gennady Yu. Kulikov

One of the modern research lines in econometrics studies focuses on translating a wide variety of structural econometric models into their state-space form, which allows for effici…

math.OC2024

SVD-based factored-form Cubature Kalman Filtering for continuous-time stochastic systems with discrete measurements

Maria V. Kulikova, Gennady Yu. Kulikov

In this paper, a singular value decomposition (SVD) approach is developed for implementing the cubature Kalman filter. The discussed estimator is one of the most popular and widely…

math.OC2024

Pattern Recognition Facilities of Extended Kalman Filtering in Stochastic Neural Fields

Maria V. Kulikova, Gennady Yu. Kulikov

In mathematical neuroscience, a special interest is paid to a working memory mechanism in the neural tissue modeled by the Dynamic Neural Field (DNF) in the presence of model uncer…

math.OC2024

On derivative-free extended Kalman filtering and its Matlab-oriented square-root implementations for state estimation in continuous-discrete nonlinear stochastic systems

Maria V. Kulikova, Gennady Yu. Kulikov

Recent research in nonlinear filtering and signal processing has suggested an efficient derivative-free Extended Kalman filter (EKF) designed for discrete-time stochastic systems.…