martinmestre / stream-fit

Fitting orbits, streams and Milky Way potentials to model a large range of observables including stellar streams, rotation curve and the stars at the Galactic centre.
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Crest of log-likelihood. #3

Open martinmestre opened 2 years ago

martinmestre commented 2 years ago

Hi @Charly-Arguelles @danielcarpintero @ankrut :

For six different fixed values of $\beta_0$ I computed the likelihood for a grid in the space of

($\theta_0$, $W_0-\theta_0$). For each slice, I selected only those points with log-likelihood > -50. The result is a unidimensional set, which is shown with colored dots. Among those points, I also pointed out the one where the actual maximum (for each fixed value of $\beta_0$) of the likelihood occurs. likelihood_crests It can be concluded that there is some kind of local degeneracy between both parameters $\theta_0$ and $diff = W_0 - \theta_0$, appart from the degeneracy due to $beta_0$.

danielcarpintero commented 2 years ago

👍

El vie, 11 feb 2022 a las 16:34, martinmestre @.***>) escribió:

Hi @Charly-Arguelles https://github.com/Charly-Arguelles @danielcarpintero https://github.com/danielcarpintero @ankrut https://github.com/ankrut : For six different fixed values of $\beta_0$ I computed the likelihood for a grid in the space of

($\theta_0$, $W_0-\theta_0$). For each slice, I selected only those points with log-likelihood > -50. The result is a unidimensional set, which is shown with colored dots. Among those points, I also pointed out the one where the actual maximum (for each fixed value of $\beta_0$) of the likelihood occurs. [image: likelihood_crests] https://user-images.githubusercontent.com/58749264/147496542-a983e163-10f7-48cb-a3a4-77c448c4dafa.png It can be concluded that there is some kind of local degeneracy between both parameters $\theta_0$ and $diff = W_0 - \theta_0$, appart from the degeneracy due to $beta_0$.

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