rmutil (version 1.1.4)

Inverse Gaussian: Inverse Gaussian Distribution

Description

These functions provide information about the inverse Gaussian distribution with mean equal to m and dispersion equal to s: density, cumulative distribution, quantiles, log hazard, and random generation.

The inverse Gaussian distribution has density $$ f(y) = \frac{1}{\sqrt{2\pi\sigma y^3}} e^{-(y-\mu)^2/(2 y \sigma m^2)}$$ where \(\mu\) is the mean of the distribution and \(\sigma\) is the dispersion.

Usage

dinvgauss(y, m, s, log=FALSE)
pinvgauss(q, m, s)
qinvgauss(p, m, s)
rinvgauss(n, m, s)

Arguments

y

vector of responses.

q

vector of quantiles.

p

vector of probabilities

n

number of values to generate

m

vector of means.

s

vector of dispersion parameters.

log

if TRUE, log probabilities are supplied.

See Also

dnorm for the normal distribution and dlnorm for the Lognormal distribution.

Examples

# NOT RUN {
dinvgauss(5, 5, 1)
pinvgauss(5, 5, 1)
qinvgauss(0.8, 5, 1)
rinvgauss(10, 5, 1)
# }