yeahh i think that i must have done something wrong along the way, coz i don't think that i could make it too..
well the actual problem was to show:
p(t|y) \propto (1 + \frac{n + 1/c}{\frac{s}{n} + \frac{\overline{y^2}(1/c)}{n + 1/c}})(\mu - \frac{n\overline{y}}{n + 1/c})^2
but yeahhh...
Hi, I'm almost at the end of a question but i seem to be stuck. I have the answer though.. so I am up to here so can someone please help me complete this:
(\frac{n + \frac{1}{c}}{\frac{s}{n} }) [\mu^2 - 2\mu(\frac{n \overline{y}}{n+\frac{1}{c}})]
then i completed the square:
(\frac{n +...
Hi, can someone please help me just START this question or give me hints on what to do because i have no idea what to do:
Y_i| \mu, \sigma^2~N(\mu,\sigma^2)
use p(\sigma^2) \propto \frac{1}{\sigma^2} and p(\mu|\sigma^2) = \frac{1}{\sqrt{2\pi}\sqrt{c}\sigma} exp[-\frac{1}{2} \frac {\mu^2}{c...
well in my lecture notes we answered the question "show that Chi^2 ~ Gamma(1/2,1/2)" and then they end with \therefore W_1~Gamma(1/2,1/2). I am not sure if that question relates to the question that I'm supposed to be answering.
But I don't really understand what they did. Maybe if someone...
Hi, For this question:
If Z1 ~ \Gamma(\alpha1, \beta) and Z2 ~ \Gamma(\alpha2, \beta); Z1 and Z2 are independent, then Z = Z1 + Z2 ~\Gamma(\alpha1+\alpha2,\beta). Hence show that W ~ \Gamma(k/2,1/2)
Well i know how to do the first part, by just multiplying the moment generating function of...
Hi, I'm trying to work out the variance of the gamma(I'm up the the part where you multiply x^2 by the function), but i don't know how to work out what
\gamma(\alpha + 2) equals to
i know I am supposed to use the fact that \gamma(\alpha + 1) = \alpha \gamma(\alpha)
but i don't...