Hans, You could parallelize it with the multicore package. The only other thing I can think of is to use calls to .Internal(). But be vigilant, as this might not be good advice. ?.Internal warns that only true R wizards should even consider using the function. First, an example with .Internal() calls, later mutlicore. For me, the following reduces elapsed time by about 9% on Windows 7 and by about 20% on today's new Ubuntu Natty.
## Set number of replicates n <- 10000 ## Your example set.seed(1) time.one <- Sys.time() Error<-rnorm(n, mean=0, sd=0.05) estimate<-(log(1.1)-Error) DCF_korrigiert<-(1/(exp(1/(exp(0.5*(-estimate)^2/(0.05^2))*sqrt(2*pi/(0.05^2))*(1-pnorm(0,((-estimate)/(0.05^2)),sqrt(1/(0.05^2))))))-1)) D<-n Delta_ln<-rep(0,D) for(i in 1:D) Delta_ln[i]<-(log(mean(sample(DCF_korrigiert,D,replace=TRUE))/(1/0.10))) time.one <- Sys.time() - time.one ## A few modifications with .Internal() set.seed(1) time.two <- Sys.time() Error <- rnorm(n, mean = 0, sd = 0.05) estimate <- (log(1.1) - Error) DCF_korrigiert <- (1 / (exp(1 / (exp(0.5 * (-estimate)^2 / (0.05^2)) * sqrt( 2* pi / (0.05^2)) * (1 - pnorm(0,((-estimate) / (0.05^2)), sqrt(1 / (0.05^2))))))-1)) D <- n Delta_ln2 <- numeric(length = D) Delta_ln2 <- vapply(Delta_ln2, function(x) { log(.Internal(mean(DCF_korrigiert[.Internal( sample(D, D, replace = T, prob = NULL))])) / (1 / 0.10)) }, FUN.VALUE = 1) time.two <- Sys.time() - time.two ## Compare all.equal(Delta_ln, Delta_ln2) time.one time.two as.numeric(time.two) / as.numeric(time.one) Then you could parallelize it with multicore's parallel() function: ## Try multicore require(multicore) set.seed(1) time.three <- Sys.time() Error <- rnorm(n, mean = 0, sd = 0.05) estimate <- (log(1.1) - Error) DCF_korrigiert <- (1 / (exp(1 / (exp(0.5 * (-estimate)^2 / (0.05^2)) * sqrt( 2* pi / (0.05^2)) * (1 - pnorm(0,((-estimate) / (0.05^2)), sqrt(1 / (0.05^2))))))-1)) D <- n/2 Delta_ln3 <- numeric(length = D) Delta_ln3.1 <- parallel(vapply(Delta_ln3, function(x) { log(.Internal(mean(DCF_korrigiert[.Internal( sample(D, D, replace = T, prob = NULL))])) / (1 / 0.10)) }, FUN.VALUE = 1), mc.set.seed = T) Delta_ln3.2 <- parallel(vapply(Delta_ln3, function(x) { log(.Internal(mean(DCF_korrigiert[.Internal( sample(D, D, replace = T, prob = NULL))])) / (1 / 0.10)) }, FUN.VALUE = 1), mc.set.seed = T) results <- collect(list(Delta_ln3.1, Delta_ln3.2)) names(results) <- NULL Delta_ln3 <- do.call("append", results) time.three <- Sys.time() - time.three ## Compare # Results won't be equal due to the different way # parallel() handles set.seed() randomization all.equal(Delta_ln, Delta_ln3) time.one time.two time.three as.numeric(time.three) / as.numeric(time.one) Combining parallel() with the .Internal calls reduces the elapsed time by about 70% on Ubuntu Natty. Multicore is not available for Windows, or at least not easily available for Windows. But maybe the true R wizards have better ideas. Jeremy
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