prentice: The Prentice distribution

In dnzmarcio/binreg: binreg R package

Description

Density, distribution function, quantile function and random generation function for the Prenctice distribution.

Usage

 dprentice(x, m)
 pprentice(q, m)
 qprentice(p, m)
 rprentice(n, m)

Arguments

x, q	vector of quantiles.
p	vector of probabilities.
n	number of observations.
m	vector of size two with shape parameters.

Details

The Prentice distribution with parameter m has density given by

f(x) = exp(x*m[1])*((1+exp(x))^(-(m[1]+m[2])))/B(m[1],m[2])

for m[1] > 0 and m[2] > 0, where B(a,b) is the Beta function.

Value

'dprentice' gives the density, 'pprentice' gives the distribution function, 'qprentice' gives the quantile function, and 'rprentice' generates random deviates.

References

Prentice, R. L. (1975) Discrimination among some parametric models. Biometrika, 62(3):607-614.

Examples

  set.seed(1234)
  m <- c(2,0.5)
  x <- seq(-5,5,0.01)
  y <- pprentice(x,m)
  plot(x,y,type="l",xlab="x",ylab="pprentice")

dnzmarcio/binreg documentation built on May 15, 2019, 9:41 a.m.