On May 11, 2009, at 9:46 AM, Ben Bolker wrote:




beetle2 wrote:

For a homework question.
I was wondering if rcmdr has a function to plot a graph of a bivariate
function of X and Y.
I have a function with joint pdf

fX,Y(x,y) = x+y for 0<x<1  , 0<y<1

I've tried
x <- seq(0,1,.001)
y <- seq(0,1,.001)
r = x+y
plot(r)

but it seems to just add them together say .2+.2 .3+.3  not other
possibilities like

.9 + .1



We don't do homework questions here, but a few hints:

(1) the question doesn't seem to be fully specified. Are x and y supposed
to be uniform?

(2) you could get a reasonable representation of the solution (although
not necessarily one your prof would be happy with) by adding
runif(10000,0,1) and runif(10000,0,1)

(3) to do this analytically, think about convolutions and/or moment
generating functions.

(4) ?integrate
and search on "double integration".

David Winsemius, MD
Heritage Laboratories
West Hartford, CT

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