# Conditional distribution with Jeffreys’ Prior [closed]

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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• This is the conditional prior density of $\mu$ given $\sigma$. – Xi'an Feb 17 at 19:55
• 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? – Xi'an Feb 17 at 19:57