6 votes

How can a probability density value be used for the likelihood calculation?

The probability density is used to 'measure how good' the parameters are because it is a natural way of quantifying if these parameters are good for the observed data. Also, as the notation often ...
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3 votes

What is the relationship between MLE and naive Bayes?

And that's all, we can infer P(x|y=c) and P(c) from the data. I don't see where the MLE shows its role. Maximum likelihood estimate is used for this very purpose, i.e. to estimate the conditional ...
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  • 699
2 votes
Accepted

What is emperical distribution in MLE?

The idea behind this kind of reasoning is that there is a "true" distribution (unknown to us, mere mortals) and that the data is generated following this distribution. But what we don't ...
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  • 278
2 votes
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Understanding the math behind using maximum likelihood for linear regression

Note first that the first $=$ (equals) in $\frac{dl(\theta)}{d\theta} = 0 = −\frac{1}{2\sigma^2}(0−2X^TY + X^TX \theta)$ should be interpreted as a "is set to", that is, we set $\frac{dl(\theta)}{d\...
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