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2010 Nov 18
0
On efficiency, Vectorize and loops
...(which is a iiN(0,I_d) vector process) # Time varies columnwise Z<-matrix(rnorm(10*n),nrow=10,ncol=n) # Defining the deterministic base functions 'zeta' zeta<-function(u,i){ sqrt(2)+sin(pi*i*u) } zeta2<-function(i){force(i); function(u){ sqrt(2)+sin(pi*outer(i,u)) } } zeta3<-function(u,i){ sqrt(2)+sin(pi*outer(i,u)) } # Building the random functional process 'epsilon' epsilon<-lapply(1:n, function(t)local({force(t); function(u){ epsilon<-0 for (j in 1:10){ epsilon<-epsilon+2^(1-j)*Z[j,t]*zeta(u,j) } epsilon<-epsilon } })) e...