R help - May 2008 - n Realizations of a Stochastic Process assigned to dynamically generated variable names?

I am interested in creating multiple (say 1000) time series, from a
given stochastic process, of length 250. I want to refer to each
realization with its own variable name, of the format say, tsn, where
n is the n'th simulation. i.e. ts1, ts2, ts3, ts4, .... , ts1000

The way I am thinking of doing this is placing the following code
within another loop, and the 'tsn' assignment should happen as ts1 and
so on, the n being taken from the iteration of the outer loop.
However, crucially, I don't know how/whether I can create variable
names dynamically and assign values to them.

#begin

tsn <- (10);

for (i in 1:250) {

  tsn <- c(tsn, tsn[i] + rnorm(1, mean=0.01, sd=0.025))

                     };

plot.ts(tsn, lwd=2, col="maroon");

#end


Thanks in anticipation.


Best Regards

Vishal Belsare

You can do things like this without explicit loops and if you store the
individual realizations in a list or matrix then it is a lot cleaner than
creating multiple objects.  Here is some example code to try:

tsnfun <- function(n, init=10, mean=0, sd=1){
 x <- numeric(n)
 x[1] <- init
 x[-1] <- rnorm(n-1, mean, sd)
 cumsum(x)
}

tsnmat <- replicate( 10, tsnfun( 250, mean=0.01, sd=0.025) )
tsnlist <- lapply( c(50, 100, 150, 200, 250), tsnfun, mean=0.01, sd=0.025 )

matplot(1:250, tsnmat, type='l', lwd=2, col='maroon')

colMeans(tsnmat)
apply(tsnmat, 2, acf)

op <- par(ask=TRUE)
lapply( tsnlist, function(x) plot.ts(x, lwd=2, col='maroon') )
par(op)

sapply( tsnlist, mean )
sapply( tsnlist, '[', 1:2 )
acf(tsnlist[[2]])


Hope this helps,
________________________________________
From: r-help-bounces at r-project.org [r-help-bounces at r-project.org] On
Behalf Of Vishal Belsare [shoot.spam at gmail.com]
Sent: Sunday, May 25, 2008 1:02 PM
To: r-help at r-project.org
Subject: [R] n Realizations of a Stochastic Process assigned to dynamically    
generated variable names?

I am interested in creating multiple (say 1000) time series, from a
given stochastic process, of length 250. I want to refer to each
realization with its own variable name, of the format say, tsn, where
n is the n'th simulation. i.e. ts1, ts2, ts3, ts4, .... , ts1000

The way I am thinking of doing this is placing the following code
within another loop, and the 'tsn' assignment should happen as ts1 and
so on, the n being taken from the iteration of the outer loop.
However, crucially, I don't know how/whether I can create variable
names dynamically and assign values to them.

#begin

tsn <- (10);

for (i in 1:250) {

  tsn <- c(tsn, tsn[i] + rnorm(1, mean=0.01, sd=0.025))

                     };

plot.ts(tsn, lwd=2, col="maroon");

#end


Thanks in anticipation.


Best Regards

Vishal Belsare

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