# [R] a strange problem with integrate()

Sundar Dorai-Raj sundar.dorai-raj at pdf.com
Wed Mar 1 18:44:33 CET 2006

```
vito muggeo wrote:
> Dear all,
> I am stuck on the following problem with integrate(). I have been out of
> luck using RSiteSearch()..
>
> My function is
>
> g2<-function(b,theta,xi,yi,sigma2){
>        xi<-cbind(1,xi)
>        eta<-drop(xi%*%theta)
>        num<-exp((eta + rep(b,length(eta)))*yi)
>        den<- 1 + exp(eta + rep(b,length(eta)))
>        result=(num/den)*exp((-b^2)/sigma2)/sqrt(2*pi*sigma2)
>        r=prod(result)
>        return(r)
>        }
>
> And I am interested in evaluating the simple integral, but:
>
>  > integrate(g2,-2,2,theta=c(-2,3),xi=c(1,2,5,6),yi=c(1,0,1,1),sigma2=1)
> Error in integrate(g2, -2, 2, theta = c(-2, 3), xi = c(1, 2, 5, 6), yi =
> c(1,  :
>          evaluation of function gave a result of wrong length
>  >
>
> I have checked the integrand function
>
>  > valori<-seq(-2,2,l=30)
>  > risvalori<-NULL
>  > for(k in valori)
> risvalori[length(risvalori)+1]<-g2(k,theta=c(-2,3),xi=c(1,2,5,6),yi=c(1,0,1,1),sigma2=1)
>  > plot(valori, risvalori)
>
> And the integral exists..
>
> Please, any comment is coming?
>
> many thanks,
> vito
>

f: an R function taking a numeric first argument and returning a
numeric vector of the same length.  Returning a non-finite
element will generate an error.

Note the "returning a numeric vector of the *same* length." Your
function returns "prod(r)" which is not the same length as "b".

Some style issues (and I state these as diplomatically as is possible in
e-mail):

a. Don't mix "<-" with "=" for assignment in your scripts.
b. Use more spaces and consistent indenting.

Here's what my code looks like:

g2 <- function(b, theta, xi, yi, sigma2) {
xi <- cbind(1, xi)
eta <- drop(xi %*% theta)
num <- exp((eta + rep(b, length(eta))) * yi)
den <- 1 + exp(eta + rep(b, length(eta)))
result <- (num/den) * exp((-b2)/sigma2)/sqrt(2 * pi * sigma2)
r <- prod(result)
r
}