Posterior mode estimation by extended Kalman filtering for multivariate dynamic generalized linear models

L Fahrmeir - Journal of the American Statistical Association, 1992 - Taylor & Francis
… to estimate time-varying parameters by posterior modes. A generalization of the extended
Kalman filter and … is suggested for approximate posterior mode estimation. For the purpose of …

On Kalman filtering, posterior mode estimation and Fisher scoring in dynamic exponential family regression

L Fahrmeir, H Kaufmann - Metrika, 1991 - Springer
… In Section 4, the estimation problem is taken up from a different point of view. We consider
posterior mode estimation of the whole sequence flo ..... fit, ie maximizing the posterior density …

Estimation of high-dimensional prior and posterior covariance matrices in Kalman filter variants

R Furrer, T Bengtsson - Journal of Multivariate Analysis, 2007 - Elsevier
… in Monte Carlo-based Kalman filter variants used for NWP. Our … The best known filtering (data
assimilation) algorithm is in the … The Kalman filter recursions are crucial to our work and are …

[PDF][PDF] Introduction to estimation and the Kalman filter

H Durrant-Whyte - Australian Centre for Field Robotics, 2001 - dynsyslab.org
… and explaining the linear Kalman filter algorithm, and will … Kalman filter algorithm; a version
of the linear Kalman filter which … If now we subsequently use this posterior distribution as the …

[PDF][PDF] Bayesian filtering: From Kalman filters to particle filters, and beyond

Z Chen - Statistics, 2003 - 140.113.144.124
… ), the objective of the filtering is to estimate the optimal current … is in essence amount to
estimating the posterior density p(xn|… state estimation problem and included the Kalman filter as a …

A review on Kalman filter models

M Khodarahmi, V Maihami - Archives of Computational Methods in …, 2023 - Springer
Kalman Filter (KF) that is also known as linear quadratic estimation filter estimates current
states of … process model. Thus algorithm is implemented in two steps: in the prediction step an …

Robustification of Kalman filter models

RJ Meinhold, ND Singpurwalla - Journal of the American Statistical …, 1989 - Taylor & Francis
… De Finetti: A robust KF model would be one for which the posterior distribution of the state of
… in precision of the estimate of the state of nature. Thus this filter neither accepts nor rejects a …

Optimal Bayesian Kalman filtering with prior update

R Dehghannasiri, MS Esfahani, X Qian… - IEEE Transactions …, 2018 - ieeexplore.ieee.org
… optimal Bayesian Kalman filter, which is optimal over posterior distribution … a model-specific
Kalman filter relative to the MAP estimates of the noise parameters. To find the MAP estimates

Unscented Kalman filters and particle filter methods for nonlinear state estimation

K György, A Kelemen, L Dávid - Procedia Technology, 2014 - Elsevier
… dynamic model than the most commonly used algorithm for the state estimation is the Extended
Kalman Filter (… The discrete weighted approximation to the posterior pdf we can define …

Understanding the ensemble Kalman filter

M Katzfuss, JR Stroud, CK Wikle - The American Statistician, 2016 - Taylor & Francis
… From a statistical perspective, obtaining estimates of the true … filtering, which attempts to
obtain sequentially the posterior … it avoids calculation and storage of the n × m t Kalman gain …