Dear Rers,

It seems the usual sum function can work. Anyway, I

appreciate your time on this.

Best wishes,

Liqiu

Dear Rers,

I am trying to do a 2 dimmensional intergration for a

function. the function is summation of another

function evaluated at a series of vector values. I

have difficulty to code this function.

For example: I have function f which is a bivariate

normal density function:

#define some constants

err<-0.5

m<-5

times<-seq(0, m-1)

rou<-sum(times)/sqrt(m*sum(times^2))

sig.w<- sqrt(m*err)

sig.wt<-sqrt(sum(times^2)*err)

#bivariate normal density

f<-function(x, y, u.x, u.y)

exp(-((x-u.x)^2/sig.w^2+(y-u.y)^2/sig.wt^2-2*rou*(x-u.x)*(y-u.y)/(sig.w*sig.wt))/(2*(1-rou^2)))/(2*pi*sig.w*sig.wt*sqrt(1-rou^2))

###

I would like to have a function g which is defined as

######

uw = 1:n

uwt = (n+1):2n

g = function(x, y) f(x,y, uw[1], uw[1])+f(x,y, uw[2],

uwt[2])+

...+f(x,y, uw[n], uwt[n])

#######

if n is very large, I am not able to write all them

down, How can I code the function g. Thank you for

your consideration.

Best wishes,

Liqiu

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