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Two-piece location-scale models are used for modeling data presentingdepartures from symmetry. In this paper, we propose an objective Bayesianmethodology for the tail parameter of two particular distributions of the abovefamily: the skewed exponential power distribution and the skewed generalisedlogistic distribution. We apply the proposed objective approach to time seriesmodels and linear regression models where the error terms follow thedistributions object of study. The performance of the proposed approach isillustrated through simulation experiments and real data analysis. Themethodology yields improvements in density forecasts, as shown by the analysiswe carry out on the electricity prices in Nordpool markets.

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