This question is reposted since there was no answer, slightly
including one more point. I also revised the title as "[Re-post] Pdf
of larger one in two Gaussian r.v?"
On Fri, 28 Nov 2003 19:29:37 +0900, "James K."
<[EMAIL PROTECTED]> wrote:
>Tell me the pdf of bigger one in two pigs, if we assume the pdf of each
>pig's weight is all Gaussian pdf with same mean (m) and variance (s^2). The
>weight value of bigger one is denoted by
>
> [EQ-1] w >= w1 >= w2,
>
>where w1 and w2 are the weights of two pigs, respectively.
>
>Base on the assumption, we have
> [EQ-2] E[w1] = E[w2] = m,
> [EQ-3] E[(w1-m)^2] = E[(w2-m)^2] = s^2,
>
>then, I guess, the mean and variance of w become
> [EQ-4] m(w) = m + s/Sqrt(Pi),
> [EQ-5] s(w)^2 = (-1+Pi)*s^2/Pi,
>
>while we are considering only the case s > 0, m > 0.
My question is divided some particles, which are:
1. Shall I be in correct way?
2. If yes, are new mean and variance correct?
3. After having these new mean and variance, is the pdf (new one)
still Gaussian?
>BR,
James K. ([EMAIL PROTECTED])
- Any remarks, proposal and/or indicator would be respected.
- Private opinions: These are not the opinions from my affiliation.
[Home] http://myhome.naver.com/txdiversity
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