Objective priors for the number of degrees of freedom of a multivariate t distribution and the t-copula
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2018-08-01
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Abstract
An objective Bayesian approach to estimate the number of degrees of freedom (ν) for the multivariate t distribution and for the t-copula, when the parameter is considered discrete, is proposed. Inference on this parameter has been problematic for the multivariate t and, for the absence of any method, for the t-copula. An objective criterion based on loss functions which allows to overcome the issue of defining objective probabilities directly is employed. The support of the prior for ν is truncated, which derives from the property of both the multivariate t and the t-copula of convergence to normality for a sufficiently large number of degrees of freedom. The performance of the priors is tested on simulated scenarios 1 and on real data: daily logarithmic returns of IBM and of the Center for Research in Security Prices Database.
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Villa, C, and FJ Rubio (2018). Objective priors for the number of degrees of freedom of a multivariate t distribution and the t-copula. Computational Statistics and Data Analysis, 124. pp. 197–219. 10.1016/j.csda.2018.03.010 Retrieved from https://hdl.handle.net/10161/33560.
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Cristiano Villa
Prof. Cristiano Villa main research area is in Bayesian statistics, with particular interest in objective methods. His output has been published in several peer-reviewed journals and presented at international conferences, such as the ISBA International Conference, the O-Bayes conference, and the ERCIM conference. In addition to his research, Prof. Villa is deeply committed to teaching and enjoys interacting with students. His teaching interests include probability, statistics, linear modelling, and risk management. Before joining Duke Kunshan University (DKU), Prof. Villa was a member of the Newcastle University (UK) and the University of Kent (UK). Prior to joining academia in 2014, he worked as an auditor and as an advisor for KPMG in several countries, including, Italy, UK, New Zealand, and Singapore. He holds an M.Sc. and a Ph.D. from the University of Kent, UK.
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