[Returnanalytics-commits] r2153 - pkg/PerformanceAnalytics/sandbox/Meucci/R
noreply at r-forge.r-project.org
noreply at r-forge.r-project.org
Fri Jul 13 12:23:33 CEST 2012
Author: mkshah
Date: 2012-07-13 12:23:33 +0200 (Fri, 13 Jul 2012)
New Revision: 2153
Modified:
pkg/PerformanceAnalytics/sandbox/Meucci/R/EntropyProg.R
Log:
Correcting documentation mistakes
Modified: pkg/PerformanceAnalytics/sandbox/Meucci/R/EntropyProg.R
===================================================================
--- pkg/PerformanceAnalytics/sandbox/Meucci/R/EntropyProg.R 2012-07-13 09:29:10 UTC (rev 2152)
+++ pkg/PerformanceAnalytics/sandbox/Meucci/R/EntropyProg.R 2012-07-13 10:23:33 UTC (rev 2153)
@@ -180,22 +180,22 @@
#' Calculate the full-confidence posterior distributions of Mu and Sigma
#'
+#' \deqn{ \tilde{ \mu } \equiv \mu + \Sigma Q' {\big(Q \Sigma Q' \big)}^{-1} \big( \tilde{\mu}_{Q} - Q \mu \big),
+#' \\ \tilde{ \Sigma } \equiv \Sigma + \Sigma G' \big({\big(G \Sigma G' \big)}^{-1} \tilde{ \Sigma }_G {\big(G \Sigma G' \big)}^{-1} - {\big(G \Sigma G' \big)}^{-1} \big) G \Sigma }
#' @param M a numeric vector with the Mu of the normal reference model
-#' @param Q a numeric vector used to construct a view on expectation of the linear combination Q %*% X
+#' @param Q a numeric vector used to construct a view on expectation of the linear combination QX
#' @param M_Q a numeric vector with the view of the expectations of QX
#' @param S a covariance matrix for the normal reference model
-#' @param G a numeric vector used to construct a view on covariance of the linear combination G %*% X
+#' @param G a numeric vector used to construct a view on covariance of the linear combination GX
#' @param S_G a numeric with the expectation associated with the covariance of the linear combination GX
#'
#' @return a list with
-#' M_ a numeric vector with the full-confidence posterior distribution of \Mu
-#' S_ a covariance matrix with the full-confidence posterior distribution of \Sigma
+#' @return M_ a numeric vector with the full-confidence posterior distribution of Mu
+#' @return S_ a covariance matrix with the full-confidence posterior distribution of Sigma
#'
#' @references
#' \url{http://www.symmys.com}
#' \url{http://ssrn.com/abstract=1213325}
-#' \deqn{ \tilde{ \mu } \equiv \mu + \Sigma Q' {\big(Q \Sigma Q' \big)}^{-1} \big( \tilde{\mu}_{Q} - Q \mu \big),
-#' \\ \tilde{ \Sigma } \equiv \Sigma + \Sigma G' \big({\big(G \Sigma G' \big)}^{-1} \tilde{ \Sigma }_G {\big(G \Sigma G' \big)}^{-1} - {\big(G \Sigma G' \big)}^{-1} \big) G \Sigma }
#' A. Meucci - "Fully Flexible Views: Theory and Practice". See formula (21) and (22) on page 7
#' See Meucci script Prior2Posterior.m attached to Entropy Pooling Paper
#' @author Ram Ahluwalia \email{ram@@wingedfootcapital.com}
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