ordermfrontier.2d: Representation of m-order efficiency frontier for 1 output...

In frontiles: Partial Frontier Efficiency Analysis

Description

Representation of the m-order efficiency score (output, input or hyperbolic direction) for a set of reference points (xobs, yobs) in 2D (1 output and 1 input).

Usage

ordermfrontier.2d(xobs, yobs, type="output", m=30, add=FALSE, 
confidence=FALSE, shade=FALSE,...)

Arguments

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"
m	an integer
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.

Details

Actually, there is no confidence interval when type="hyper". If type="input" and confidence=TRUE, the y-axis is permuted with the x-axis

Author(s)

Abdelaati Daouia and Thibault Laurent

References

Daouia, A. and L. Simar (2007), Nonparametric efficiency analysis: A multivariate conditional quantile approach, Journal of Econometrics 140, 375-400.

Examples

# 1st example
data(spain)
plot(y~x2,data=spain)
ordermfrontier.2d(as.matrix(spain$x2),as.matrix(spain$y),type="output",m=30,
col='red',lty=2,add=TRUE)
ordermfrontier.2d(as.matrix(spain$x2),as.matrix(spain$y),type="input",m=30,
col='royalblue',lty=3,add=TRUE)
ordermfrontier.2d(as.matrix(spain$x2),as.matrix(spain$y),type="hyper",m=30,
col='green',lty=4,add=TRUE)
legend("topleft",
legend=c("output direction","input direction","hyper direction"),
lty=2:4,col=c("red","royalblue","green"))

# 2nd example
ordermfrontier.2d(as.matrix(spain$x2),as.matrix(spain$y),type="output",
confidence=TRUE,shade=TRUE,m=30)

Example output

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 

frontiles documentation built on May 1, 2019, 8:45 p.m.