EstimationTools (version 4.0.0)

hazard_rate_key: Hazard rate key function

Description

This function provides the hazard rate key function for model fitting in distance sampling.

Usage

hazard_rate_key(x, sigma, beta)

Value

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

Arguments

x

vector of perpendicular distances from the transect.

sigma

scale parameter.

beta

shape parameter.

Author

Jaime Mosquera Gutiérrez,

Details

This is the hazard rate key function with parameters sigma and beta. Its expression is given by

\(g(x) = 1 - \exp((\frac{-x}{\sigma})^{-\beta},\)

for x > 0.

See Also

Other key functions: half_norm_key(), uniform_key()

Examples

library(EstimationTools)

#----------------------------------------------------------------------------
# Example: Hazard rate function
hazard_rate_key(x=1, sigma=2, beta=3)
curve(hazard_rate_key(x, sigma=2, beta=3), from=0, to=10, ylab='g(x)')

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