library(tidyverse)
set.seed(20002)
x <- rnorm(100, mean = 0, sd = 1)
y <- x + sin(x)
window_mean <- function(x, window = 10) {
out <- vector(mode = "numeric", length = length(x))
for (i in seq_along(x)) {
h <- max(1, i-window)
x.window.mean <- mean(x[h:i])
out[i] <- x.window.mean
}
return(out)
}
marginal_lift <- function(x, window = 10) {
out <- vector(mode = "numeric", length = length(x))
for (i in seq_along(x)) {
sub1 <- `[`(x, max(1, i - window):max(1, i-1))
sub2 <- `[`(x, max(1, i - window):max(1, i))
out[i] <- mean(sub2) - mean(sub1)
}
return(out)
}
res.x <- marginal_lift(x)
d <- data.frame(position = seq_along(x), value = x, lift = res.x) %>%
mutate(cum_sum = cumsum(value),
cum_meam = cummean(value))
d %>% ggplot(aes(x = position, y = cum_sum, group = 1)) +
geom_line() +
geom_area(stat = "identity", fill = "lightblue", color = "blue")
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