dgbspvii {gbs}R Documentation

Density of the GBSD generated from the Pearson type VII kernel

Description

Probabilility density function of the GBSD generated from the the Pearson type VII kernel with parameters q and r.

Usage

dgbspvii(x, alpha = 1.0, beta = 1.0, parameters = c(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 and r.
log Logical; if TRUE, probabilities p are given as mbox{log}(p).

Details

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

Value

dgbspvii() gives the pdf of the GBSD generated from the Pearson VII 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 Pearson VII type kernel
# with parameters q = 1 y r = 2
x <- seq(-3, 3, by = 0.01)
y <- dgbspvii(x, 1.0, 1.0, parameters = c(1, 2))
plot(x, y, type = "l", xlab = "x", ylab = "f(x)")

[Package gbs version 1.0 Index]