Update normal_copula.stanfunctions

spinkney · spinkney · commit e0fa60d84aa8 · 2022-03-12T08:19:23.000-05:00
diff --git a/functions/copula/normal_copula.stanfunctions b/functions/copula/normal_copula.stanfunctions
@@ -108,7 +108,7 @@ real bivariate_normal_copula_cdf(vector u, real rho) {
   *    Q_{n \times d} = \begin{pmatrix} \mathbf{\Phi}^{-1}(u_1) \\ \vdots  \\ \mathbf{\Phi}^{-1}(u_d)  \end{pmatrix}
   *  \f] 
   * and \f$ \odot \f$ is the elementwise multiplication operator.
-  * Note that \f$\det \Sigma  = |LL^T| = |L |^2 = \big(\prod_{i=1}^d L_{i,i}\big)^2\f$ so \f$\sqrt{\det \Sigma} = \prod_{i=1}^d L_{i,i}\f$
+  * Note that \f$\det \Sigma  = |LL^T| = |L |^2 = \big(\prod_{i=1}^d L_{i,i}\big)^2\f$ so \f$\sqrt{\det \Sigma} = \prod_{i=1}^d L_{i,i}\f$.
   *
   * @copyright Ethan Alt, Sean Pinkney 2021
   *

Original file line number	Diff line number	Diff line change
`@@ -108,7 +108,7 @@ real bivariate_normal_copula_cdf(vector u, real rho) {`
`108`	`108`	`* Q_{n \times d} = \begin{pmatrix} \mathbf{\Phi}^{-1}(u_1) \\ \vdots \\ \mathbf{\Phi}^{-1}(u_d) \end{pmatrix}`
`109`	`109`	`* \f]`
`110`	`110`	`* and \f$ \odot \f$ is the elementwise multiplication operator.`
`111`		`- * Note that \f$\det \Sigma = \|LL^T\| = \|L \|^2 = \big(\prod_{i=1}^d L_{i,i}\big)^2\f$ so \f$\sqrt{\det \Sigma} = \prod_{i=1}^d L_{i,i}\f$`
	`111`	`+ * Note that \f$\det \Sigma = \|LL^T\| = \|L \|^2 = \big(\prod_{i=1}^d L_{i,i}\big)^2\f$ so \f$\sqrt{\det \Sigma} = \prod_{i=1}^d L_{i,i}\f$.`
`112`	`112`	`*`
`113`	`113`	`* @copyright Ethan Alt, Sean Pinkney 2021`
`114`	`114`	`*`