R/MDMeasure-package.R

In zejin/MDMeasure: Mutual Dependence Measures via Energy Statistics

#' MDMeasure: A package for mutual dependence measures via energy statistics
#'
#' The MDMeasure package provides measures of mutual dependence and tests of mutual independence. 
#' 
#' @section Measuring mutual dependence:
#' The mutual dependence measures include: 
#' \itemize{
#'   \item asymmetric measure \eqn{\mathcal{R}_n} based on distance covariance \eqn{\mathcal{V}_n}
#'   \item symmetric measure \eqn{\mathcal{S}_n} based on distance covariance \eqn{\mathcal{V}_n}
#'   \item complete measure \eqn{\mathcal{Q}_n} based on complete V-statistics
#'   \item simplified complete measure \eqn{\mathcal{Q}_n^\star} based on incomplete V-statistics
#'   \item asymmetric measure \eqn{\mathcal{J}_n} based on complete measure \eqn{\mathcal{Q}_n}
#'   \item simplified asymmetric measure \eqn{\mathcal{J}_n^\star} based on simplified complete measure 
#'     \eqn{\mathcal{Q}_n^\star}
#'   \item symmetric measure \eqn{\mathcal{I}_n} based on complete measure \eqn{\mathcal{Q}_n}
#'   \item simplified symmetric measure \eqn{\mathcal{I}_n^\star} based on simplified complete measure 
#'     \eqn{\mathcal{Q}_n^\star}
#' }
#'
#' @section Testing mutual independence:
#' The mutual independence tests based on the mutual dependence measures are implemented as permutation 
#' tests.
#'
#' @name MDMeasure-package
#'
#' @aliases MDMeasure
#'
#' @docType package
#'
#' @title Mutual Dependence Measures via Energy Statistics
#'
#' @author Ze Jin \email{zj58@cornell.edu},
#'   David S. Matteson \email{matteson@cornell.edu}

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