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#' @rdname tau-utils
#' @description
#' \code{normalize_by_tau} shifts and scales data given the \code{tau} vector as
#' \deqn{(data - \mu_x) / \sigma_x.}
#'
#' Parameters \eqn{\mu_x} and \eqn{\sigma_x} are not necessarily mean and
#' standard deviation in the \eqn{\tau} vector; that depends on the family
#' type and \code{use.mean.variance} (for location families they usually are
#' mean and standard deviation if \code{use.mean.variance = TRUE}; for scale
#' and non-location non-scale families they are just location/scale
#' parameters for the transformation).
#'
#' @param data numeric; a numeric object in R. Usually this is either
#' \code{y} or \code{x} (or \code{z} and \code{u} if \code{inverse = TRUE}.)
#' @param inverse logical; if \code{TRUE} it applies the inverse transformation
#' \eqn{data \cdot \sigma_x + \mu_x}
#' @export
normalize_by_tau <- function(data, tau, inverse = FALSE) {
return(normalize_by_tau_Cpp(data, mu_x = tau["mu_x"],
sigma_x = tau["sigma_x"],
inverse = inverse))
}
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