| rcomparithm {compositions} | R Documentation |
Arithmetic operations for compositions in a real geometry
Description
The real compositions form a manifold of the real vector space. The induced operations +,-,*,/ give results valued in the real vector space, but possibly outside the simplex.
Usage
convex.rcomp(x,y,alpha=0.5)
## Methods for class "rcomp"
## x+y
## x-y
## -x
## x*r
## r*x
## x/r
Arguments
x |
an rcomp composition or dataset of compositions |
y |
an rcomp composition or dataset of compositions |
r |
a numeric vector of size 1 or nrow(x) |
alpha |
a numeric vector of size 1 or nrow(x) with values between 0 and 1 |
Details
The functions behave quite like +.rmult.
The convex combination is defined as: x*alpha + (1-alpha)*y
Value
rmult-objects containing the given operations on the simplex
as subset of the R^D. Only the convex combination
convex.rcomp results in an rcomp-object again, since
only this operation is closed.
Note
For * the arguments x and y can be exchanged.
Author(s)
K.Gerald v.d. Boogaart http://www.stat.boogaart.de
See Also
+.rmult, +.acomp,cpt, rcomp, rmult
Examples
rcomp(1:5)* -1 + rcomp(1:5)
data(SimulatedAmounts)
cdata <- rcomp(sa.lognormals)
plot( tmp <- (cdata-mean(cdata))/msd(cdata) )
class(tmp)
mean(tmp)
msd(tmp)
var(tmp)
plot(convex.rcomp(rcomp(c(1,1,1)),sa.lognormals,0.1))