# InvGauss: Inverse Gaussian Distribution In rmutil: Utilities for Nonlinear Regression and Repeated Measurements Models

 Inverse Gaussian R Documentation

## 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) = 1/sqrt(2 pi s y^3) e^-((y - m)^2/(2 y s m^2))

where m is the mean of the distribution and s 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.

### Author(s)

J.K. Lindsey

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

### Examples

```dinvgauss(5, 5, 1)
pinvgauss(5, 5, 1)
qinvgauss(0.8, 5, 1)
rinvgauss(10, 5, 1)
```

rmutil documentation built on Oct. 29, 2022, 1:08 a.m.