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Bayesian Inference for a Semi-Parametric Copula-based Markov Chain

Author

Listed:
  • Azam, Kazim

    (Vrije Universiteit, Amsterdam)

  • Pitt, Michael

    (Department of Economics, University of Warwick)

Abstract

This paper presents a method to specify a strictly stationary univariate time series model with particular emphasis on the marginal characteristics (fat tailedness, skewness etc.). It is the rst time in time series models with speci ed marginal distribution, a non-parametric speci cation is used. Through a Copula distribution, the marginal aspect are separated and the information contained within the order statistics allow to efficiently model a discretely-varied time series. The estimation is done through Bayesian method. The method is invariant to any copula family and for any level of heterogeneity in the random variable. Using count times series of weekly rearm homicides in Cape Town, South Africa, we show our method efficiently estimates the copula parameter representing the first-order Markov chain transition density. JEL classification: C11 ; C14 ; C20

Suggested Citation

  • Azam, Kazim & Pitt, Michael, 2014. "Bayesian Inference for a Semi-Parametric Copula-based Markov Chain," The Warwick Economics Research Paper Series (TWERPS) 1051, University of Warwick, Department of Economics.
    • Handle: RePEc:wrk:warwec:1051
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Bayesian copula ; discrete data ; order statistics ; semi-parametric ; time series.;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General

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