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event (version 1.1.2)

hboxcox: Log Hazard Function for a Box-Cox Process

Description

This function provides information about the Box-Cox distribution with location parameter equal to m, dispersion equal to s, and power transformation equal to f: log hazard. (See `rmutil` for the d/p/q/r boxcox functions density, cumulative distribution, quantiles, and random generation).

The Box-Cox distribution has density $$ f(y) = \frac{1}{\sqrt{2 \pi \sigma^2}} \exp(-((y^\nu/\nu-\mu)^2/(2 \sigma^2)))/ (1-I(\nu<0)-sign(\nu)*pnorm(0,\mu,sqrt(\sigma)))$$ where \(\mu\) is the location parameter of the distribution, \(\sigma\) is the dispersion, \(\nu\) is the family parameter, \(I()\) is the indicator function, and \(y>0\).

\(\nu=1\) gives a truncated normal distribution.

Usage

hboxcox(y, m, s, f)

Arguments

y

vector of responses.

m

vector of location parameters.

s

vector of dispersion parameters.

f

vector of power parameters.

Author

J.K. Lindsey

See Also

dnorm for the normal or Gaussian distribution.

Examples

Run this code
hboxcox(2, 5, 5, 2)

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