# Questions tagged [map-estimation]

Estimation by maximizing the posterior density function

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### Bayesian Inference Intuition: Beta and Binomial vs Gamma and Poisson

When the data is assumed to be binomial distributed, and the prior probability is assumed to be a beta distribution, the posterior follows the distribution $Beta (\alpha - 1 + k , \beta - 1 + n- k$). ...
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### MLE and MAP with Naive Bayes

From what I understand, Naive Bayes classifies by doing: $$y \leftarrow argmax_{y_k}P(Y=y_k)\prod_{i}P(X_i|Y=y_k)$$ There are two things there we need to know: $P(Y=y_k)$ and all the $P(X_i|Y=y_k)$ ...
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### Bayesian inference MAP question

Hello I am stuck with this problem and was wondering if someone can solve it for me. Thanks
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### Naive Bayes - why MAP?

According to Wikipedia on (Classic) Naive Bayes The naive Bayes classifier combines this model with a decision rule. One common rule is to pick the hypothesis that is most probable; this is known ...
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### What is an example of a transformation on a posterior distribution such that the MAP estimate will be non-invariant?

Suppose that we have a posterior distribution $p(\theta\mid y)$ and we wish to define a transformation on $\theta$ such that $\phi = f(\theta)$. I know that generally such transformations will not ...