Timeline for Expectation of a generalization of Dirichlet distribution
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Aug 6, 2014 at 9:02 | comment | added | Mathias | Good, I was also assuming that that $\alpha$ was a table of fixed constants that were just pulled out of a hat; so it would seem that this mixture model corresponds to what you need. About the posterior probabilities of a specific actions: This is what's given in the third bullet point above (the probability of a set $n$ of actions given a hand $h$). If you're interested in the probability of a history containing only one single action, that corresponds to setting $n=(0, 0, 0,\ldots,1,\ldots,0,0)$. It has probability $\alpha_{h,a}\sum_b \alpha_{h,a}$. | |
| Jul 26, 2014 at 18:20 | comment | added | DirichletPoker | Hi Mathias, the model seems to be what I had in mind. (K was supposed to represent the poker card "King" not the number of actions, but that doesn't matter). I was thinking initially the $\alpha_h$'s would just be some arbitrary parameters given as constants, and would then be updated after each round/observation. Would your result apply here? And how do I get from there to the expectation for the posterior probability of taking action a given h? | |
| Jul 21, 2014 at 18:41 | history | answered | Mathias | CC BY-SA 3.0 |