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Last data update: 2014.03.03

R: Representation of m-order efficiency frontier for 1 output...

ordermfrontier.2d

R Documentation

Representation of m-order efficiency frontier for 1 output and 1 input

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)