Helper function: expanded expit
Examples
x <- rnorm(n = 1000)
summary(x)
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -3.40416 -0.72675 -0.03834 -0.03026 0.68511 3.40723
sqz <- 1 / (10**6)
p <- fexpit(x, sqz = sqz)
summary(p)
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> 0.03217 0.32591 0.49042 0.49408 0.66488 0.96793
all((abs(x - flogit(p)) / x) < sqz)
#> [1] TRUE
all(abs(x - flogit(fexpit(x))) < sqz)
#> [1] TRUE