1. The function "KalmanLike" seems to change its inputs AND
PREVIOUSLY MADE copies of the inputs. Consider the following (using R
2.1.0 patched under Windows XP):
> Fig2.1 <- StructTS(x=Nile, type="level")
> unlist(Fig2.1$model0[2:3])
a P
1120 286379470
> tst2 <- tst <- Fig2.1$model0
> tst23 <- tst[2:3]
> tst23u <- unlist(tst23)
> nile.KL <- KalmanLike(nile, tst2)
> unlist(tst[2:3])
a P
798.3682 4032.1469
> unlist(tst2[2:3])
a P
798.3682 4032.1469
> unlist(Fig2.1$model0[2:3])
a P
798.3682 4032.1469
> unlist(tst23)
a P
798.3682 4032.1469
> tst23u
a P
1120 286379470
"KalmanLike" changed attributes a and P of its input, tst2, as well
as tst, from which tst2 was created, and Fig2.1$model0, from which tst
was created: Fig2.1$model0 was create by "StructTS" as a list that
included components a = 1120 and P = 286379470. When I called
KalmanLike with a copy of a copy of that argument, KalmanLike changed
all those copies plus one other, tst23. The only copy that KalmanLike
did NOT change was "unlisted", tst23u. The function
"KalmanLike"
essentialy consists of a call to '.Call("KalmanLike", ...)',
and I'm not
eager to trace this behavior into that ".Call". Would anyone care to
comment on this behavior?
2. I'm trying to recreate Figure 2.1 in Durbin and Koopman (2001),
cited in the KalmanLike help file. This figure consists of four panels,
the first of which plots the Nile dataset with, apparently, the filtered
state output by 'StructTS(x=nile, type="level")' and 'its
90% confidence
interval". The following is the code I used to try to recreate this
figure:
Fig2.1 <- StructTS(x=Nile, type="level")
n.nile <- length(Nile)
cols <- c("filtered", "P", "s.e",
"L.9", "U.9")
k <- length(cols)
#nile <- ts(nile., start=1871)
Nile. <- ts(array(c(fitted(Fig2.1), rep(NA, n.nile*(k-1))),
dim=c(n.nile, length(cols)),
dimnames=list(NULL, cols)), start=1871)
P <- Inf
h <- Fig2.1$model0$h
V <- Fig2.1$model0$V
for(i in 1:n.nile){
P <- V+1/((1/P)+(1/h))
Nile.[i, "P"] <- P
}
s2 <- KalmanLike(nile, Fig2.1$model0)$s2
Fig2.1 <- StructTS(x=Nile, type="level")
Nile.[, "s.e"] <- sqrt(s2*Nile.[, "P"])
z.9 <- qnorm(.95)
Nile.[, "L.9"] <- (Nile.[, "filtered"]-z.9*Nile.[,
"s.e"])
Nile.[, "U.9"] <- (Nile.[, "filtered"]+z.9*Nile.[,
"s.e"])
plot(nile)
lines(fitted(Fig2.1), lwd=2)
lines(Nile.[,"L.9"], col=2, lwd=2)
lines(Nile.[,"U.9"], col=2, lwd=2)
Does anyone have any comments on this? The data for 1892, 1894, and
1897 seem slightly outside the 90% confidence interval in Durbin and
Koopman (2001, Fig. 2.1) but just inside the figure created by this code.
Am I doing this correctly? Is there an easier way?
Thanks,
spencer graves