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Identification and Estimation of Initial Conditions in Non-Minimal State-Space Models

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  • Victor Bystrov

    (University of Lodz)

Abstract

In this paper the identification problem is considered for initial conditions in a non-minimal state-space model that includes interpretable state variables generated by non-stationary stochastic processes. In order to solve the identification problem, structural restrictions are imposed on initial conditions in a state-space model with redundant state variables. The corresponding restricted maximum likelihood estimator of initial conditions is derived. The restricted estimator of initial conditions can be used in order to compute uniquely identified realizations of interpretable latent variables. The identification problem is illustrated analytically using a simple structural economic model.

Suggested Citation

  • Victor Bystrov, 2020. "Identification and Estimation of Initial Conditions in Non-Minimal State-Space Models," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 12(4), pages 413-429, December.
    • Handle: RePEc:psc:journl:v:12:y:2020:i:4:p:413-429
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    References listed on IDEAS

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    More about this item

    Keywords

    identification; latent variables; state-space model; redundancy;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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