Half normal key function

This function provides the half normal key function for model fitting in distance sampling.

Usage

half_norm_key(x, sigma)

Arguments

x

vector of perpendicular distances from the transect.

sigma

scale parameter.

Value

A numeric value corresponding to a given value of x and sigma.

Details

This is the half normal key function with parameter sigma. Its expression is given by

\(g(x) = \exp(\frac{-x^2}{2*\sigma^2},\)

for x > 0.

See also

Other key functions: hazard_rate_key(), uniform_key()

Author

Jaime Mosquera Gutiérrez, jmosquerag@unal.edu.co

Examples

library(EstimationTools)

#----------------------------------------------------------------------------
# Example: Half normal function
half_norm_key(x=1, sigma=4.1058)
#> [1] 0.9707753
curve(half_norm_key(x, sigma=4.1058), from=0, to=20, ylab='g(x)')


#----------------------------------------------------------------------------