| 174 | \form#173:$ [d_1, d_2, \ldots d_t] $ |
| 175 | \form#174:\[ f(x_t|d_1\ldots d_t) \propto f(d_t|x_t,d_1\ldots d_{t-1}) f(x_t| d_1\ldots d_{t-1}) \] |
| 176 | \form#175:$ d_t $ |
| 177 | \form#176:$ f(d_t|d_1\ldots d_{t-1})$ |
| 178 | \form#177:\[ f(d_{t+1}| d_1 \ldots d_{t} \] |
| 179 | \form#178:$ x_{t-2} $ |
| 180 | \form#179:$ [a_{t-1}', b_{t+1}] $ |
| 181 | \form#180:\[ f(d_{t+1}| d_1 \ldots d_{t}), \] |
| 182 | \form#181:\[ f(x_t|d_1\ldots d_t)=f(x_{1,t}|x_{2,t},d_1\ldots d_t)f(x_{2,t}|d_1\ldots d_t) \] |
| 183 | \form#182:$ x_{1,t}$ |
| 184 | \form#183:$x_{2,t}$ |
| 185 | \form#184:$ [\theta_t, r_t, \phi_t]$ |
| 186 | \form#185:\[ f(\theta_t, r_t, \phi_t) = f(\theta_t, r_t| \phi_t) f(\phi_t) \] |
| 187 | \form#186:$ \phi_t $ |