我试着用R来计算矩阵中一系列值的移动平均值。R中似乎没有一个内置函数可以让我计算移动平均线。有任何软件包提供这样的服务吗?还是需要我自己写?


当前回答

动物园包中的滚动平均值/最大值/中位数(rollmean) TTR中的移动平均线 马云在预测

其他回答

虽然有点慢,但你也可以使用zoo::rollapply在矩阵上执行计算。

reqd_ma <- rollapply(x, FUN = mean, width = n)

其中x为数据集,FUN = mean为函数;你也可以改变它为min, max, sd等,宽度是滚动窗口。

vector_avg <- function(x){
  sum_x = 0
  for(i in 1:length(x)){
    if(!is.na(x[i]))
      sum_x = sum_x + x[i]
  }
  return(sum_x/length(x))
}

下面的示例代码展示了如何使用zoo包中的rollmean函数计算居中移动平均和尾随移动平均。

library(tidyverse)
library(zoo)

some_data = tibble(day = 1:10)
# cma = centered moving average
# tma = trailing moving average
some_data = some_data %>%
    mutate(cma = rollmean(day, k = 3, fill = NA)) %>%
    mutate(tma = rollmean(day, k = 3, fill = NA, align = "right"))
some_data
#> # A tibble: 10 x 3
#>      day   cma   tma
#>    <int> <dbl> <dbl>
#>  1     1    NA    NA
#>  2     2     2    NA
#>  3     3     3     2
#>  4     4     4     3
#>  5     5     5     4
#>  6     6     6     5
#>  7     7     7     6
#>  8     8     8     7
#>  9     9     9     8
#> 10    10    NA     9

为了配合坎迪奇西斯和罗德里戈·雷麦黛奥的回答;

moving_fun <- function(x, w, FUN, ...) {
  # x: a double vector
  # w: the length of the window, i.e., the section of the vector selected to apply FUN
  # FUN: a function that takes a vector and return a summarize value, e.g., mean, sum, etc.
  # Given a double type vector apply a FUN over a moving window from left to the right, 
  #    when a window boundary is not a legal section, i.e. lower_bound and i (upper bound) 
  #    are not contained in the length of the vector, return a NA_real_
  if (w < 1) {
    stop("The length of the window 'w' must be greater than 0")
  }
  output <- x
  for (i in 1:length(x)) {
     # plus 1 because the index is inclusive with the upper_bound 'i'
    lower_bound <- i - w + 1
    if (lower_bound < 1) {
      output[i] <- NA_real_
    } else {
      output[i] <- FUN(x[lower_bound:i, ...])
    }
  }
  output
}

# example
v <- seq(1:10)

# compute a MA(2)
moving_fun(v, 2, mean)

# compute moving sum of two periods
moving_fun(v, 2, sum)

caTools包具有非常快速的滚动mean/min/max/sd和其他一些功能。我只使用过runmean和runsd,它们是迄今为止提到的其他包中最快的。