Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Very challenging

  1. Sep 25, 2009 #1
    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:

    [tex]Y_i| \mu, \sigma^2[/tex]~[tex]N(\mu,\sigma^2)[/tex]
    use [tex] p(\sigma^2) \propto \frac{1}{\sigma^2} [/tex] and [tex]p(\mu|\sigma^2) = \frac{1}{\sqrt{2\pi}\sqrt{c}\sigma} exp[-\frac{1}{2} \frac {\mu^2}{c \sigma^2}][/tex]

    and show that
    [tex]p(t|y) \propto (1 + \frac{t^2}{n})^{-(\frac{n+1}{2})}[/tex]

    where
    [tex]
    t = \frac{\sqrt{n + 1/c}}{\sqrt{\frac{s}{n} + \frac{\overline{y^2}(1/c)}{(n+1/c)}}} (\mu - \frac{n \overline{y}}{n + 1/c}) [/tex]

    any guidance would be VERY appreciated because Ive just been staring at this question for the past two days... Thank you?
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Very challenging
  1. A Challenging Issue (Replies: 1)

Loading...