dgbskotz {gbs}R Documentation

Pdf of the GBSD generated from the Kotz kernel

Description

This function computes the probabilility density function of the GBSD generated from a Kotz kernel with parameters q, r and s.

Usage

  dgbskotz(x, alpha = 1.0, beta = 1.0, parameters = c(1.0, 1.0, 1.0), 
           log = FALSE)

Arguments

x Vector of observations.
alpha Shape parameter.
beta Scale parameter.
parameters Parameters of the Kotz distribution denoted by q, r and s.
log Logical; if TRUE, probabilities p are given as mbox{log}(p).

Details

For details about the pdf of the GBSD with Kotz kernel see Sanhueza et al. (2008).

Value

{dgbskotz()} gives the pdf of an GBSD generated from the Kotz kernel.

Author(s)

Barros, Michelli <michelli.karinne@gmail.com>
Leiva, Victor <victor.leiva@uv.cl, victor.leiva@yahoo.com>
Paula, Gilberto A. <giapaula@ime.usp.br>

References

Diaz-Garcia, J.A., Leiva, V. (2005) A new family of life distributions based on elliptically contoured distributions. J. Stat. Plan. Infer. 128:445-457 (Erratum: J. Stat. Plan. Infer. 137:1512-1513).

Leiva, V., Barros, M., Paula, G.A., Sanhueza, A. (2008) Generalized Birnbaum-Saunders distributions applied to air pollutant concentration. Environmetrics 19:235-249.

Sanhueza, A., Leiva, V., Balakrishnan, N. (2008) The generalized Birnbaum-Saunders distribution and its theory, methodology and application. Comm. Stat. Theory and Meth. 37:645-670.

Examples

# Produces a graphical plot for the GBSD from the Kotz kernel
# with parameters q = 1, r = 2 and s = 3 
x <- seq(-3, 3, by = 0.01)
y <- dgbskotz(x, 1.0, 1.0, parameters = c(1, 2, 3))
plot(x, y, type = "l", xlab = "x", ylab = "f(x)")

[Package gbs version 1.0 Index]