Plot bivariate joint pdf
Thank you for your suggestions.
When you talked about the double itegral
did you mean solve the pdf for 1 variable by
\int \int_{0}^{1} X+y dydx
x^2/2 + x/2
Where this is a function of one variable.
Do I then plot this function ?
regards
David Winsemius wrote:
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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