On Jul 1, 2010, at 8:30 AM, Sarah Sanchez wrote:

Dear R helpers

I am working on the Bi-variate Normal distribution probabilities. I need to double integrate the following function (actually simplified form of bivariate normal distribution)

f(x, y) = exp [ - 0.549451 * (x^2 + y^2 - 0.6 * x * y) ]

where 2.696 < x < 3.54 and -1.51 < y < 1.98

I need to solve something like


INTEGRATE (2.696 to 3.54) dx INTEGRATE [(-1.51 to 1.98)] f(x, y) dy

I have referred to stats::integrate but it deals with only one variable.

I find the latest version of RSiteSearch to be poorly configured for searching r-help, so I have constructed a different set of defaults that include the rhelp archive in the searches.


 rhelpSearch <-  function(string,
restrict = c("Rhelp10", "Rhelp08", "Rhelp02", "functions" ),
                  matchesPerPage = 100, ...)
               RSiteSearch(string=string,
                 restrict = restrict,
                 matchesPerPage = matchesPerPage, ...)

 rhelpSearch("double integra*")  241 hits

--
David Winsemius, MD
West Hartford, CT

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