Question on maximum likelihood

  • Thread starter Simfish
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  • #1
Simfish
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http://en.wikipedia.org/wiki/Maximum_likelihood


What exactly does the "arg" here mean? It seems to be an unnecessary - the max L(\theta) seems to be sufficient enough. Or am I missing something?
[tex]\widehat{\theta} = \underset{\theta}{\operatorname{arg\ max}}\ \mathcal{L}(\theta).[/tex]
 

Answers and Replies

  • #2
EnumaElish
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arg is needed because the left-hand side is the argument of L.

One can write [tex]L(\widehat{\theta}) = \underset{\theta}\max\ {L(\theta)}.[/tex].

Or one can write [tex]\widehat{\theta} = \underset{\theta}{\operatorname{arg\ max}}\ {L}(\theta).[/tex]
 

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