198 | | <img class="formulaDsp" alt="\[ f(\theta_t | d_1,\ldots,d_t) = \frac{f(y_t|\theta_t,\cdot) f(\theta_t|d_1,\ldots,d_{t-1})}{f(y_t|d_1,\ldots,d_{t-1})} \]" src="form_41.png"> |
| 198 | <img class="formulaDsp" alt="\[ f(\theta_t | d_1,\ldots,d_t) = \frac{f(y_t|\theta_t,\cdot) f(\theta_t|d_1,\ldots,d_{t-1})}{f(y_t|d_1,\ldots,d_{t-1})} \]" src="form_40.png"> |
202 | | As a "side-effect" it also evaluates log-likelihood of the data, which can be accessed via function _ll(). It can also evaluate predictors of future values of <img class="formulaInl" alt="$y_t$" src="form_42.png">, see functions <a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba" title="Constructs a predictive density .">epredictor()</a> and <a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912" title="Constructs a conditional density 1-step ahead predictor.">predictor()</a>.<p> |
203 | | Alternatively, it can evaluate posterior density conditioned by a known constant, <img class="formulaInl" alt="$ c_t $" src="form_43.png">: <p class="formulaDsp"> |
204 | | <img class="formulaDsp" alt="\[ f(\theta_t | c_t, d_1,\ldots,d_t) \propto f(y_t,\theta_t|c_t,\cdot, d_1,\ldots,d_{t-1}) \]" src="form_44.png"> |
205 | | <p> |
206 | | <p> |
207 | | The value of <img class="formulaInl" alt="$ c_t $" src="form_43.png"> is set by function <a class="el" href="classbdm_1_1BM.html#6799f4b16a6a59ed58b1d0d6e17116f4" title="Substitute val for rvc.">condition()</a>. <hr><h2>Member Function Documentation</h2> |
| 202 | As a "side-effect" it also evaluates log-likelihood of the data, which can be accessed via function _ll(). It can also evaluate predictors of future values of <img class="formulaInl" alt="$y_t$" src="form_41.png">, see functions <a class="el" href="classbdm_1_1BM.html#688d7a2aced1e06aa1c468d73a9e5eba" title="Constructs a predictive density .">epredictor()</a> and <a class="el" href="classbdm_1_1BM.html#598b25e3f3d96a5bc00a5faeb5b3c912" title="Constructs a conditional density 1-step ahead predictor.">predictor()</a>.<p> |
| 203 | Alternatively, it can evaluate posterior density conditioned by a known constant, <img class="formulaInl" alt="$ c_t $" src="form_42.png">: <p class="formulaDsp"> |
| 204 | <img class="formulaDsp" alt="\[ f(\theta_t | c_t, d_1,\ldots,d_t) \propto f(y_t,\theta_t|c_t,\cdot, d_1,\ldots,d_{t-1}) \]" src="form_43.png"> |
| 205 | <p> |
| 206 | <p> |
| 207 | The value of <img class="formulaInl" alt="$ c_t $" src="form_42.png"> is set by function <a class="el" href="classbdm_1_1BM.html#6799f4b16a6a59ed58b1d0d6e17116f4" title="Substitute val for rvc.">condition()</a>. <hr><h2>Member Function Documentation</h2> |
255 | | <p>Implemented in <a class="el" href="classpmsmCRB.html#13749c201329922511369cdbe2f0f50a">pmsmCRB</a>, <a class="el" href="classpmsmCRBMz.html#598b556bcccfa02c693830efaba679ef">pmsmCRBMz</a>, <a class="el" href="classEKFfixed.html#ddf5334bc1207658fd53698fffbac028">EKFfixed</a>, <a class="el" href="classbdm_1_1ARX.html#8bdf2974052e8ce74eb0d4f3791c58a3">bdm::ARX</a>, <a class="el" href="classbdm_1_1Kalman.html#4a39330c14eff8d13179e868a1d1aa8c">bdm::Kalman< sq_T ></a>, <a class="el" href="classbdm_1_1KalmanCh.html#b41fe5540548100b08e1684c3be767b6">bdm::KalmanCh</a>, <a class="el" href="classbdm_1_1EKFfull.html#f149ae8e9ce14d9931a7bb2850736699">bdm::EKFfull</a>, <a class="el" href="classbdm_1_1EKF.html#3fb182ecc29b10ca1163cecbf3bcccfa">bdm::EKF< sq_T ></a>, <a class="el" href="classbdm_1_1EKFCh.html#4c8609c37290b158f88a31dae4047225">bdm::EKFCh</a>, <a class="el" href="classbdm_1_1MultiModel.html#a915deeddb0e94c337d02ebc0abe535e">bdm::MultiModel</a>, <a class="el" href="classbdm_1_1PF.html#638946eea22d4964bf9350286bb4efd8">bdm::PF</a>, <a class="el" href="classbdm_1_1MPF.html#286d040770d08bd7ff416cea617b1b14">bdm::MPF< BM_T ></a>, <a class="el" href="classbdm_1_1MixEF.html#5bd7da667da183eed1577f11dff0c1f1">bdm::MixEF</a>, <a class="el" href="classbdm_1_1BMEF.html#c287f4c0c1ea31b91572ec45351838f1">bdm::BMEF</a>, <a class="el" href="classbdm_1_1multiBM.html#1e4bf41b61937fd80f34049742e23f95">bdm::multiBM</a>, <a class="el" href="classbdm_1_1Kalman.html#4a39330c14eff8d13179e868a1d1aa8c">bdm::Kalman< chmat ></a>, <a class="el" href="classbdm_1_1Kalman.html#4a39330c14eff8d13179e868a1d1aa8c">bdm::Kalman< ldmat ></a>, and <a class="el" href="classbdm_1_1Kalman.html#4a39330c14eff8d13179e868a1d1aa8c">bdm::Kalman< fsqmat ></a>.</p> |
| 255 | <p>Implemented in <a class="el" href="classbdm_1_1ARX.html#8bdf2974052e8ce74eb0d4f3791c58a3">bdm::ARX</a>, <a class="el" href="classbdm_1_1Kalman.html#4a39330c14eff8d13179e868a1d1aa8c">bdm::Kalman< sq_T ></a>, <a class="el" href="classbdm_1_1KalmanCh.html#b41fe5540548100b08e1684c3be767b6">bdm::KalmanCh</a>, <a class="el" href="classbdm_1_1EKFfull.html#f149ae8e9ce14d9931a7bb2850736699">bdm::EKFfull</a>, <a class="el" href="classbdm_1_1EKF.html#3fb182ecc29b10ca1163cecbf3bcccfa">bdm::EKF< sq_T ></a>, <a class="el" href="classbdm_1_1EKFCh.html#4c8609c37290b158f88a31dae4047225">bdm::EKFCh</a>, <a class="el" href="classbdm_1_1MultiModel.html#a915deeddb0e94c337d02ebc0abe535e">bdm::MultiModel</a>, <a class="el" href="classbdm_1_1PF.html#638946eea22d4964bf9350286bb4efd8">bdm::PF</a>, <a class="el" href="classbdm_1_1MPF.html#286d040770d08bd7ff416cea617b1b14">bdm::MPF< BM_T ></a>, <a class="el" href="classbdm_1_1MixEF.html#5bd7da667da183eed1577f11dff0c1f1">bdm::MixEF</a>, <a class="el" href="classbdm_1_1BMEF.html#c287f4c0c1ea31b91572ec45351838f1">bdm::BMEF</a>, <a class="el" href="classbdm_1_1multiBM.html#1e4bf41b61937fd80f34049742e23f95">bdm::multiBM</a>, <a class="el" href="classbdm_1_1Kalman.html#4a39330c14eff8d13179e868a1d1aa8c">bdm::Kalman< chmat ></a>, <a class="el" href="classbdm_1_1Kalman.html#4a39330c14eff8d13179e868a1d1aa8c">bdm::Kalman< ldmat ></a>, and <a class="el" href="classbdm_1_1Kalman.html#4a39330c14eff8d13179e868a1d1aa8c">bdm::Kalman< fsqmat ></a>.</p> |