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HWRix / Haloprofile

Text and Figures to go along with the Xue et al 2015 analysis of the Galactic halo profile
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Likelihood versus posterior probability #2

Closed HWRix closed 9 years ago

HWRix commented 9 years ago

We need to make sure that the nomenclature is consistent: we called the method maximum likelihood, but because there is a prior probability on the right-hand side of the equation, the left-hand side of the equation becomes a posterior probability not a likelihood.

xiangxiangxue commented 9 years ago

So it is not maximum likelihood. I understand. What should we name our method?

HWRix commented 9 years ago

I will need to think about it, and I can fix this in the next iteration.

HWRix commented 9 years ago

fixed this the easy way, by adding We presume the priors on all $p_H$ to be flat over the pertinent range; therefore the posterior distribution of the parameters, $p(p_H | { data})$, is proportionate to the likelihood (Eq. \ref{eq:Likelihood}), differing only in its units ("1/parameters" {\it vs.} "1/data"). to the text