A discrete Kalman filter for a class of non-linear stochastic systemsf

Yavin, Y.

doi:10.1080/00207728208926425

Cited by 3 publications

(1 citation statement)

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“…In a case of hiring nonlinear models for the processes description a discrete nonlinear transformed version of Kalman filter was applied that also uses fundamental matrix ( )  A of continuous time model [18].…”

Section: Processing Some Types Of Stochastic Uncertaintiesmentioning

confidence: 99%

Methodology of Modeling and Forecasting Nonlinear Processes in Finances

et al. 2018

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Background.Most of the models of financial and economic processes are characterized by considerable computational complexity, and construction of predictions of acceptable quality for the required time horizon -by considerable efforts. Therefore, the development and implementation of effective tools for forecasting the modeling of financial and economic processes are one of the actual and practically meaningful tasks. The paper deals with the modeling and forecasting of nonlinear nonstationary processes in macroeconomics and finance using a methodology based on the principles of system analysis such as hierarchical modeling, consideration of the influence of uncertainties, optimization of the characteristics of models using complex criteria, structural and parametric adaptation. The application of the proposed methodology will improve the quality of forecasting by studying the features of the analyzed process and adapting models to new data, etc. Objective. The purpose of this article is to develop a methodology for predictive modeling of nonstationary processes in finance and macroeconomics using statistical data, as well as its implementation in the corresponding computer system. Methods. The methodology is based on the technologies of preliminary processing of statistical data intended to eliminate possible uncertainties, the use of correlation analysis to evaluate structure of the model and choice of methods for estimating its parameters, calculating forecast estimates and generating alternative solutions. This allows us to objectively evaluate the results obtained at each stage of solving the problem of modeling nonlinear nonstationary processes in macroeconomics and finance. The paper proposes an original methodology for determining the structure of the model and its implementation in the information system for decision support. Results. Appropriate models were built for the selected financial and macroeconomic processes. High quality of the final result of data analysis and forecasting is achieved due to implementation of evaluation of the results obtained using statistical quality criteria at each stage of data processing, modeling and forecasting, and also due to the possibility of adapting models to new data through analysis of statistical characteristics of the processes under study and application of combined criteria for the adequacy of models and quality of estimates of forecasts, and the convenient presentation of intermediate and final results. Conclusions. The proposed methodology is used for forecasting modeling of some macroeconomic and financial processes in Ukraine. The obtained results show that it can be successfully used to solve practical problems of constructing models and prediction of nonlinear nonstationary processes under conditions of uncertainties of various types, which, as a rule, have to be considered during modeling and forecasting on the basis of statistical data.

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Section: Processing Some Types Of Stochastic Uncertaintiesmentioning

confidence: 99%