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5
votes
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How is the mode in Dirichlet-Multinomial calculated?
The mode in Dirichlet-Multinomial is
$$
\mathrm{Mode}(\pi_i) = \frac{\alpha_i + x_i - 1}{\sum_{j=1}^k (\alpha_j + x_j -1)}
$$
Could you point out how is it calculated please?
What is the importance …
1
vote
1
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515
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What are the possible estimates of the parameters of the multinomial distribution?
The expected value of the parameters of the multinomial distribution (taking into account the Dirichlet prior $D(\alpha)$ and the posterior Dirichlet-Multinomial) is:
$\pi_i = α_i+ x_i / \sum_{j} α_j …