I am calculating standard deviations on an expanding window where at each point I recalculate the standard deviation. This seems like a fairly straightforward thing to do t
When a somewhat similar question about a cumulative variance and a cumularive kurtosis operation came up in rhelp a few days ago, here is what I offered :
daily <- rnorm(1000000)
mbar <- mean(daily)
cumvar <- cumsum( (daily-cumsum(daily)/1:length(daily) )^2)
cumskew <- cumsum( (daily-cumsum(daily)/1:length(daily))^3)/cumvar^(3/2)
It's certainly faster than the sapply method but may be comparable to Aaron's.
system.time( cumvar <- cumsum( (daily-cumsum(daily)/1:length(daily) )^2) )
user system elapsed
0.037 0.026 0.061
system.time(cumsd <- sqrt(cumvar) )
user system elapsed
0.009 0.005 0.013