Inference in mixed causal and noncausal models with generalized Student's t-distributions

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Date

3 décembre 2020

Type de document
Périmètre
Identifiant
  • 2012.01888
Collection

arXiv

Organisation

Cornell University




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Francesco Giancaterini et al., « Inference in mixed causal and noncausal models with generalized Student's t-distributions », arXiv - économie


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The properties of Maximum Likelihood estimator in mixed causal and noncausal models with a generalized Student's t error process are reviewed. Several known existing methods are typically not applicable in the heavy-tailed framework. To this end, a new approach to make inference on causal and noncausal parameters in finite sample sizes is proposed. It exploits the empirical variance of the generalized Student's-t, without the existence of population variance. Monte Carlo simulations show a good performance of the new variance construction for fat tail series. Finally, different existing approaches are compared using three empirical applications: the variation of daily COVID-19 deaths in Belgium, the monthly wheat prices, and the monthly inflation rate in Brazil.

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