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Nonparametric estimation of dynamic discrete choice models for time series data

Author

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  • Park, Byeong U.
  • Simar, Leopold
  • Zelenyuk, Valentin

Abstract

The non-parametric quasi-likelihood method is generalized to the context of discrete choice models for time series data where dynamics is modelled via lags of the discrete dependent variable appearing among regressors. Consistency and asymptotic normality of the estimator for such models in the general case is derived under the assumption of stationarity with strong mixing condition. Monte Carlo examples are used to illustrate performance of the proposed estimator relative to the fully parametric approach. Possible applications for the proposed estimator may include modelling and forecasting of probabilities of whether a subject would get a positive response to a treatment, whether in the next period an economy would enter a recession, or whether a stock market will go down or up, etc.
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Suggested Citation

  • Park, Byeong U. & Simar, Leopold & Zelenyuk, Valentin, 2017. "Nonparametric estimation of dynamic discrete choice models for time series data," LIDAM Reprints ISBA 2017011, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
  • Handle: RePEc:aiz:louvar:2017011
    Note: In : Computational Statistics & Data Analysis, vol. 108, p. 97-120 (2017)
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Byeong U. Park & Léopold Simar & Valentin Zelenyuk, 2020. "Forecasting of recessions via dynamic probit for time series: replication and extension of Kauppi and Saikkonen (2008)," Empirical Economics, Springer, vol. 58(1), pages 379-392, January.
    2. Camilla Mastromarco & Léopold Simar & Valentin Zelenyuk, 2021. "Predicting recessions with a frontier measure of output gap: an application to Italian economy," Empirical Economics, Springer, vol. 60(6), pages 2701-2740, June.
    3. Camilla Mastromarco & Léopold Simar & Valentin Zelenyuk, 2019. "Predicting Recessions: A New Measure of Output Gap as Predictor," CEPA Working Papers Series WP112019, School of Economics, University of Queensland, Australia.
    4. Truquet, Lionel, 2023. "Strong mixing properties of discrete-valued time series with exogenous covariates," Stochastic Processes and their Applications, Elsevier, vol. 160(C), pages 294-317.
    5. Qingyan Ning & Maosheng Li, 2022. "Modeling Pedestrian Detour Behavior By-Passing Conflict Areas," Sustainability, MDPI, vol. 14(24), pages 1-17, December.
    6. Byeong U. Park & Leopold Simar & Valentin Zelenyuk, 2017. "Revisiting Forecasting of Recessions via Dynamic Probit for Time Series by Kauppi and Saikkonen (2008)," CEPA Working Papers Series WP032017, School of Economics, University of Queensland, Australia.
    7. Toru Kitagawa & Weining Wang & Mengshan Xu, 2022. "Policy Choice in Time Series by Empirical Welfare Maximization," Papers 2205.03970, arXiv.org, revised Jun 2023.
    8. Tatiana Anopchenko & Olga Gorbaneva & Elena Lazareva & Anton Murzin & Gennady Ougolnitsky, 2019. "Modeling Public—Private Partnerships in Innovative Economy: A Regional Aspect," Sustainability, MDPI, vol. 11(20), pages 1-18, October.

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    More about this item

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory

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