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#' @name impute-commutative
#' @title Imputation by Cummutative Functions
#'
#' Impute using replacement values calculated from a univariate, cummuative
#' function.
#'
#' @param .x vector in which `NA` values are to be replaced. The ordering of `x`
#' does not matter.
#' @param ... additional arguments passed to lower-level summary functions.
#'
#' @details
#'
#' This collection of functions calculates a replacement value using an
#' unvariate function where the order of values in `x` do not matter,
#' i.e. commutative.
#'
#'
#' @return
#'
#' A vector of `class(x)` and `length(x)` in which missing values (NA) have
#' been replaced the result of a function call: \deqn{ fun(x, ...) }
#'
#' @seealso
#' * [na.replace()] - used internally by these functions
#' * [na.constant()]
#'
#' @rdname impute-commutative
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