If $\pi(\mu,\sigma)$ corresponds to $N(\mu,\sigma^2)\times\mu^{-1/2}$, what is $\pi(\mu|\sigma)$?


closed as unclear what you're asking by Michael Chernick, whuber Feb 17 at 22:55

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  • $\begingroup$ This is the conditional prior density of $\mu$ given $\sigma$. $\endgroup$ – Xi'an Feb 17 at 19:55
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    $\begingroup$ unclear: what do you mean by $N(\mu,\sigma^2)$? A Normal density in $\mu$ with mean zero? The $\mu^{-1/2}$ is also unclear as this is only defined for $\mu>0$. Are $\mu$ and $\sigma$ the standard notations for mean and variance? $\endgroup$ – Xi'an Feb 17 at 19:57