Description Usage Arguments Details Author(s) References See Also Examples
View source: R/alphafrontier.2d.r
Representation of the alpha-quantile efficiency frontier (output, input or hyperbolic direction) for a set of reference points (xobs, yobs) in 2D (1 output and 1 input).
1 2 |
xobs |
a matrix of size n1 x 1, input of sample points |
yobs |
a matrix of size n1 x 1, output of sample points |
type |
a direction to choose among "output", "input" and "hyper" |
alpha |
a scalar between 0 and 1 |
add |
a boolean with TRUE for keeping the active device |
confidence |
a boolean for representing a confidence interval |
shade |
a boolean for shading the confidence interval |
... |
usual options for ploting the frontier, lty, col, etc. |
Actually, there is no confidence interval when type="hyper". If type="input" and confidence=TRUE, the y-axis is permuted with the x-axis
Abdelaati Daouia and Thibault Laurent
Daouia, A. and L. Simar (2007), Nonparametric efficiency analysis: A multivariate conditional quantile approach, Journal of Econometrics 140, 375-400.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 | # 1st example
data(spain)
plot(y~x2,data=spain)
alphafrontier.2d(as.matrix(spain$x2),as.matrix(spain$y),type="output",
alpha=0.95,col='red',lty=2,add=TRUE)
alphafrontier.2d(as.matrix(spain$x2),as.matrix(spain$y),type="input",
alpha=0.95,col='royalblue',lty=3,add=TRUE)
alphafrontier.2d(as.matrix(spain$x2),as.matrix(spain$y),type="hyper",
alpha=0.95,col='green',lty=4,add=TRUE)
legend("topleft",title="alpha-quantile frontier; alpha=0.95",
legend=c("output direction","input direction","hyper direction"),lty=2:4,
col=c("red","royalblue","green"))
# 2nd example
plot(y~x2,data=spain)
alphafrontier.2d(as.matrix(spain$x2),as.matrix(spain$y),
type="output",alpha=1,add=TRUE)
alphafrontier.2d(as.matrix(spain$x2),as.matrix(spain$y),type="output",
alpha=0.95,col='blue',lty=2,add=TRUE)
ordermfrontier.2d(as.matrix(spain$x2),as.matrix(spain$y),type="output",
m=30,col='green',lty=3,add=TRUE)
legend("topleft",title="output direction", legend=c("FDH","alpha=0.95","m=30"),
lty=1:3,col=c("black","royalblue","green"))
# 3rd example
alphafrontier.2d(as.matrix(spain$x2),as.matrix(spain$y),type="output",
confidence=TRUE,shade=TRUE,alpha=0.98)
title("Alpha-quantile frontier with alpha=0.98 and its confidence interval")
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Loading required package: classInt
Loading required package: colorspace
Loading required package: rgl
Loading required package: sp
Warning messages:
1: In rgl.init(initValue, onlyNULL) : RGL: unable to open X11 display
2: 'rgl_init' failed, running with rgl.useNULL = TRUE
3: .onUnload failed in unloadNamespace() for 'rgl', details:
call: fun(...)
error: object 'rgl_quit' not found
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