Olga edited Methods Description.tex  over 9 years ago

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Marginal likelihood: $L(\mathbf{\theta};\textbf{x};\textbf{z})$=$P(\textbf{x},\textbf{z}|\mathbf{\theta})$=$\prod\limits_{i=1}^n P(Z_i=z_i)f(x_i|\mu_{z_i}, \sigma^2_{z_i})$  $Q(\mathbf{\theta|\mathbf{\theta^(t))$ $=E_{\textbf{z}|\textbf{x},\mathbf{\theta^(t)}$$(logL(\mathbf{\theta};\textbf{x};\textbf{z}))$ $Q(\mathbf{\theta}|\mathbf{\theta^(t)})=E_{\textbf{z}|\textbf{x},\mathbf{\theta^(t)}}(logL(\mathbf{\theta};\textbf{x};\textbf{z}))$  \subsection{Excess-mass method (EMM)} \label{sec:methods-emm}