dgbspvii {gbs} | R Documentation |
Probabilility density function of the GBSD generated from the the Pearson type VII kernel with parameters q and r.
dgbspvii(x, alpha = 1.0, beta = 1.0, parameters = c(1.0, 1.0), log = FALSE)
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). |
For details about the pdf of the GBSD with Pearson VII kernel see Sanhueza et al. (2008)
dgbspvii()
gives the pdf of the GBSD generated from the Pearson VII kernel.
Barros, Michelli <michelli.karinne@gmail.com>
Leiva, Victor <victor.leiva@uv.cl, victor.leiva@yahoo.com>
Paula, Gilberto A. <giapaula@ime.usp.br>
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.
# 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)")