Estimating time-varying parameters in uncertain differential equations

Guidong Zhang and Yuhong Sheng

Applied Mathematics and Computation, 2022, vol. 425, issue C

Abstract: Research on the estimation of unknown parameters in uncertain differential equations has been a concerned subject for scholars in recent years. For this reason, some scholars have proposed many methods to estimate the unknown parameters. However, these unknown parameters are constants. This paper considers estimation methods for time-varying parameters, the least squares estimation method is rewritten. Firstly, estimates of a set of time-varying parameters are obtained. Secondly, the fit function for this set of estimates, which is obtained by means of a regression fit is considered to be a time-varying parameter. Meanwhile, the criteria is given to determine whether the fit function is reasonable. Finally, two numerical examples of uncertain differential equations are presented to verify the feasibility of the above method.

Keywords: Uncertainty theory; Least squares estimation; Regression analysis; Time-varying parameters (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:425:y:2022:i:c:s0096300322001680

DOI: 10.1016/j.amc.2022.127084

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