ksgbs {gbs} | R Documentation |
The function {ksgbs} gives the values for the Kolmogorov-Smirnov (KS) test assuming a GBSD with parameters α, β and an specific kernel. In addition, optionally, this function allows one to obtain a comparative graph between the empirical and theoretical cdfs for a given data set.
ksgbs(x, kernel = "normal", graph = FALSE, mainTitle = "Cumulative distribution function", xLabel = "data", yLabel = "cdf")
x |
Vector of observations. |
kernel |
Kernel of the pdf of the associated symmetrical distribution by means of which the GBSD is obtained. The kernels: {"laplace"}, {"logistic"}, {"normal"} and {"t"} are available. |
graph |
Logical; if TRUE (default), the cdf plot is provided. |
mainTitle |
Main title of the graph. |
xLabel |
A title for the x axis. |
yLabel |
A title for the y axis. |
The Kolmogorov-Smirnov test is a goodness-of-fit technique based on the maximum distance between the empirical and theoretical cdfs.
The function {ksgbs()} carries out de Kolmogorov-Smirnov test for the GBSD.
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.
## Generates a sample from the GBSD with normal kernel x <- rgbs(300, alpha = 1.0, beta = 1.0, nu = 1.0, kernel = "normal") ## Produces a KS test abd produces a graph for the GBSD with normal kernel ksgbs(x, kernel = "normal", graph = TRUE, xLabel = "Data", yLabel = "Cumulative distribution function")