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Loss-based approach to two-piece location-scale distributions with applications to dependent data

Author

Listed:
  • Fabrizio Leisen

    (University of Kent)

  • Luca Rossini

    (Vrije Universiteit Amsterdam)

  • Cristiano Villa

    (University of Kent)

Abstract

Two-piece location-scale models are used for modeling data presenting departures from symmetry. In this paper, we propose an objective Bayesian methodology for the tail parameter of two particular distributions of the above family: the skewed exponential power distribution and the skewed generalised logistic distribution. We apply the proposed objective approach to time series models and linear regression models where the error terms follow the distributions object of study. The performance of the proposed approach is illustrated through simulation experiments and real data analysis. The methodology yields improvements in density forecasts, as shown by the analysis we carry out on the electricity prices in Nordpool markets.

Suggested Citation

  • Fabrizio Leisen & Luca Rossini & Cristiano Villa, 2020. "Loss-based approach to two-piece location-scale distributions with applications to dependent data," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 29(2), pages 309-333, June.
    • Handle: RePEc:spr:stmapp:v:29:y:2020:i:2:d:10.1007_s10260-019-00481-x
    DOI: 10.1007/s10260-019-00481-x
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    References listed on IDEAS

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