Empirical Simultaneous Confidence Regions for Path-Forecasts

Konferenzbeitrag

A probabilistic assessment about the set of possible trajectories that a random variable may follow over time is summarized by the simultaneous confidence region generated from its forecast generating distribution. However, if the null model is only approximative or altogether unavailable, one cannot derive analytic expressions for this confidence region. Moreover, the high-dimensional nature of the forecast generating distribution in such cases makes non-parametric estimation impractical given commonly available predictive samples. Instead, this paper derives the approximate rectangular confidence regions that control false discovery rate error, which are a function of the predictive sample covariance matrix and the empirical distribution of the Mahalanobis distance of the path-forecast errors. These rectangular regions are simple to construct and appear to work well in a variety of cases explored empirically and by simulation.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Beiträge zur Jahrestagung des Vereins für Socialpolitik 2010: Ökonomie der Familie - Session: Advances in Time Series Analysis ; No. B6-V1

Classification and Topics

• Classification: Wirtschaft ; Multiple or Simultaneous Equation Models: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models ; Model Evaluation, Validation, and Selection ; Forecasting Models; Simulation Methods
• Subject: path forecast ; forecast uncertainty ; simultaneous confidence region ; Scheffé's S-method ; Mahalanobis distance ; false discovery rate

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Knüppel, Malte ; Jordà, Òscar ; Marcellino, Massimiliano
• Event: Veröffentlichung
• (who): Verein für Socialpolitik
• (where): Frankfurt a. M.
• (when): 2010

Further information

• Handle: http://hdl.handle.net/10419/37175
• Last update: 10.03.2025, 11:44 AM CET