truncated_normal_cdf {LTFHPlus}

CDF for truncated normal distribution.

Description

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

Usage

truncated_normal_cdf(
  liability,
  lower = stats::qnorm(0.05, lower.tail = FALSE),
  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 = FALSE)).

upper

A number representing the upper cutoff point of the truncated normal distribution. Must be greater or equal to lower. Defaults to Inf.

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.

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.

Examples

curve(sapply(liability, truncated_normal_cdf), from = qnorm(0.05, lower.tail = FALSE), to = 3.5,
 xname = "liability")