CDF for truncated normal distribution. — truncated_normal

truncated_normal_cdf computes the cumulative density function for a truncated normal distribution.

truncated_normal_cdf(
  liability,
  lower = stats::qnorm(0.05, lower.tail = F),
  upper = Inf
)

Arguments

liability: A number representing the individual's true underlying liability.
lower: A number representing the lower cutoff point for the truncated normal distribution. Defaults to 1.645 (stats::qnorm(0.05, lower.tail = F)).
upper: A number representing the upper cutoff point of the truncated normal distribution. Must be greater or equal to lower. Defaults to Inf.

Value

If liability is a number and the lower and upper cutoff points are numbers satisfying lower <= upper, then truncated_normal_cdf

returns the probability that the liability will take on a value less than or equal to liability.

Details

This function can be used to compute the value of the cumulative density function for a truncated normal distribution given an individual's true underlying liability.

Examples

if (FALSE) {
 curve(truncated_normal_cdf, from = qnorm(0.05, lower.tail = F), to = 3.5, 
       xname = "Underlying liability")
}