# Re: [R] Bayesian Integration (stat question)

From: francogrex <francogrex_at_mail.com>
Date: Sun, 30 Dec 2007 11:16:14 -0800 (PST)

Yacas and Ryacas does exactly what I want. Actually I had asked previously a question about algebra (not integration precisely) and guys here have pointed out package Ryacas. Sorry to disturb.

francogrex wrote:
>
> This may be far-fetched:
> In Bayesian analysis to find the marginal posterior distribution of a
> parameter it requires integration out of the so-called nuisance
> parameters. Is there in R (like an equivalent to the deriv function) but
> to find the expression of the integration (or an anti-derivative)? Like
> for example I want to integrate out mu in the normal distribution, I would
> introduce (note:punctuation marks are made up):
> integral(prod[i to n] 1/sqrt(2*pi*s^2)*exp(-(xi-mu)/2*s^2), dmu)
> and it would give me:
> 1/(sqrt(n)*(2*pi*s^2)^((n-1)/2))*exp(-sum[i to n]((xi-xbar)^2)/2*s^2)
> ?
>

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