On 01.03.2010 17:09, li li wrote:
Hi all,

    I have some problem regarding the integration function. Can any one
take a look at the following and give me some help? Thank you in advance!
               Hannah

## f0 is a function of r,x, and y

f0<- function(r, x, y){
         pnorm((x-sqrt(r)*y)/sqrt(1-r), mean=0,sd=1, lower.tail=T)^2*dnorm(y)
}


## f1 is the function of r and x after integrating out y

f1<- function(r,x) {integrate(f1(r,x,y), -Inf, Inf)}


I got the follow error message :

f1(0,0)
Error: evaluation nested too deeply: infinite recursion /
options(expressions=)?


Well, I get

Error in f1(r, x, y) : unused argument(s) (y)

hence I guess you made some copy&paste to mail message error as well.
Additionally, where your error comes from: you want t integarte f0 rather than f1 *recursively*?

If this is homework, you should have read your error messages better and reported you exact code rather than something else, at least.

Note that integrate() expects as first argument "f" a function rather than a call (or evaluated function).

Hence you probably want (note order of arguments!):

f0 <- function(y, r, x){
pnorm((x - sqrt(r)*y) / sqrt(1-r), mean=0, sd=1, lower.tail=TRUE)^2 * dnorm(y)
}
f1 <- function(r,x) integrate(f0, -Inf, Inf, x=x, r=r)
f1(0,0)


Uwe Ligges





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