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rvinecopulib (version 0.2.6.1.1)

mBICV: calculates the vine copula Bayesian information criterion (vBIC), which is defined as $$\mathrm{BIC} = -2\, \mathrm{loglik} + \nu \ln(n), - 2 * \sum_{t=1}^(d - 1) \{q_t log(\psi_0^t) - (d - t - q_t) log(1 - \psi_0^t)\} $$ where \(\mathrm{loglik}\) is the log-liklihood and \(\nu\) is the (effective) number of parameters of the model, \(t\) is the tree level \(\psi_0\) is the prior probability of having a non-independence copula and \(q_t\) is the number of non-independence copulas in tree \(t\). The vBIC is a consistent model selection criterion for parametric sparse vine copula models.

Description

calculates the vine copula Bayesian information criterion (vBIC), which is defined as $$\mathrm{BIC} = -2\, \mathrm{loglik} + \nu \ln(n), - 2 * \sum_{t=1}^(d - 1) \{q_t log(\psi_0^t) - (d - t - q_t) log(1 - \psi_0^t)\} $$ where \(\mathrm{loglik}\) is the log-liklihood and \(\nu\) is the (effective) number of parameters of the model, \(t\) is the tree level \(\psi_0\) is the prior probability of having a non-independence copula and \(q_t\) is the number of non-independence copulas in tree \(t\). The vBIC is a consistent model selection criterion for parametric sparse vine copula models.

Usage

mBICV(object, psi0 = 0.9)

Arguments

object

a fitted vinecop object.

psi0

baseline prior probability of a non-independence copula.