Definition: Log-likelihood function
	
	
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	Log-likelihood function 
	
	
	 
	
	
	
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Metadata: ID: D59 | shortcut: llf | author: JoramSoch | date: 2020-05-17, 22:52.
  
  
Definition: Let there be a generative model $m$ describing measured data $y$ using model parameters $\theta$. Then, the logarithm of the probability density function of the distribution of $y$ given $\theta$ is called the log-likelihood function of $m$:
\[\label{eq:llf} \mathrm{LL}_m(\theta) = \log p(y|\theta,m) = \log \mathcal{D}(y; \theta) \; .\]Metadata: ID: D59 | shortcut: llf | author: JoramSoch | date: 2020-05-17, 22:52.