Facebook
From Denim Human, 5 Days ago, written in LaTeX.
Embed
Download Paste or View Raw
Hits: 47
  1. $$ \alpha\left(\xi_{i}^{k}, \xi_{i}^{*}\right)=\frac{p\left(U \mid \theta^{k+1}, \alpha_{i}^{*}, \beta_{i}^{*}\right) \times e^{-\frac{1}{2 \sigma_{\beta}}\left(\beta_{i}^{*}\right)} \times \frac{1}{\alpha_{i}^{*}} \times e^{-\frac{1}{2 \alpha_{i}}\left(\log \left(\alpha_{i}^{*}\right)\right.} \times \frac{1}{\alpha_{i}^{*}}}{p\left(U \mid \theta^{k+1}, \alpha_{i}^{*}, \beta_{i}^{k}\right) \times e^{-\frac{1}{2 \sigma_{\beta}}\left(\beta_{i}^{k}\right)} \times \frac{1}{\alpha_{i}^{k}} \times e^{-\frac{1}{2 \alpha_{i}}\left(\log \left(\alpha_{i}^{k}\right)\right.} \times \frac{1}{\alpha_{i}^{k}}} $$
  2. $$ \sum_{j=1}^{N}\left[\sum_{k=1}^{Q}\left[\left\{\sum_{i=1}^{n} \log f\left(U_{i j} ; \theta_{j}, \xi_{i}\right)\right\} \frac{L\left(\theta_{j} \mid u_{j}, \xi^{p}\right) f\left(q_{k}\right)}{\sum_{h=1}^{Q} L\left(\theta \mid u_{j}, \xi^{p}\right) f\left(q_{h}\right)}\right]\right] $$
  3.