rcomparithm | R Documentation |
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.
convex.rcomp(x,y,alpha=0.5)
## Methods for class "rcomp"
## x+y
## x-y
## -x
## x*r
## r*x
## x/r
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 |
The functions behave quite like +.rmult
.
The convex combination is defined as: x*alpha + (1-alpha)*y
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.
For *
the arguments x and y can be exchanged.
K.Gerald v.d. Boogaart http://www.stat.boogaart.de
+.rmult
, +.acomp
,cpt
, rcomp
, rmult
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))
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