SCSE {biogeom} | R Documentation |
Sarabia-Castillo-Slottje Equation (SCSE)
Description
SCSE
is used to calculate values at given
values using
the Sarabia-Castillo-Slottje equation. The equation describes the
coordinates of the Lorenz curve.
Usage
SCSE(P, x)
Arguments
P |
the parameters of the Sarabia-Castillo-Slottje equation. |
x |
the given |
Details
Here, and
represent the independent and dependent variables, respectively;
and
,
and
are constants to be estimated, where
,
, and
.
There are three elements in
P
, representing
the values of ,
and
, respectively.
Value
The values predicted by the Sarabia-Castillo-Slottje equation.
Note
The numerical range of should range between 0 and 1.
Author(s)
Peijian Shi pjshi@njfu.edu.cn, Johan Gielis johan.gielis@uantwerpen.be, Brady K. Quinn Brady.Quinn@dfo-mpo.gc.ca.
References
Sarabia, J.-M., Castillo, E., Slottje, D.J. (1999) An ordered family of Lorenz curves.
Journal of Econometrics. 91, 4360. doi:10.1016/S0304-4076(98)00048-7
Sitthiyot, T., Holasut, K. (2023) A universal model for the Lorenz curve with novel applications for datasets containing zeros and/or exhibiting extreme inequality. Scientific Reports 13, 4729. doi:10.1038/s41598-023-31827-x
See Also
fitLorenz
, MPerformanceE
, SarabiaE
, SHE
Examples
X1 <- seq(0, 1, len=2000)
Pa2 <- c(0, 0.790, 1.343)
Y2 <- SCSE(P=Pa2, x=X1)
dev.new()
plot( X1, Y2, cex.lab=1.5, cex.axis=1.5, type="l", asp=1, xaxs="i",
yaxs="i", xlim=c(0, 1), ylim=c(0, 1),
xlab="Cumulative proportion of the number of infructescences",
ylab="Cumulative proportion of the infructescence length" )
graphics.off()