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On the simultaneous estimation of delay model parameters in economic dynamics

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  • Prasolov, Alexander V.

Abstract

Mathematical models in the form of differential equations with a time lag have been widely used in economics, biology, engineering and medicine to model dynamical interactions. In this paper, a heuristic estimation algorithm of delay values is offered in discrete deterministic systems by minimizing the average quadratic deviation for parameter identification. A well-known “predator–prey” model falls within the solution set we offer and is widely used in economics. Obviously, real data requires the analysis of random measurement innovations be taken into account; however, this aspect is not considered for the sake of convenience.

Suggested Citation

  • Prasolov, Alexander V., 2018. "On the simultaneous estimation of delay model parameters in economic dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 1102-1109.
    • Handle: RePEc:eee:phsmap:v:509:y:2018:i:c:p:1102-1109
    DOI: 10.1016/j.physa.2018.06.104
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    References listed on IDEAS

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    1. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    2. Zellner Arnold, 2002. "My Experiences with Nonlinear Dynamic Models in Economics," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 6(2), pages 1-18, July.
    3. Peter Winker, 2000. "Optimized Multivariate Lag Structure Selection," Computational Economics, Springer;Society for Computational Economics, vol. 16(1/2), pages 87-103, October.
    4. Ivanov Ventzislav & Kilian Lutz, 2005. "A Practitioner's Guide to Lag Order Selection For VAR Impulse Response Analysis," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(1), pages 1-36, March.
    5. Jianhua Z. Huang & Lijian Yang, 2004. "Identification of non‐linear additive autoregressive models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(2), pages 463-477, May.
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