Bayesian Inference of Non-Linear and Non-Gaussian State Space Models
Univariate Gaussian model with AR(1) latent process
Non-Gaussian model with AR(1) latent process
Convert MCMC Output to data.frame
Convert KFAS Model to bssm Model
Convert run_mcmc
Output to draws_df
Format
Asymptotic Variance of IS-type Estimators
Bootstrap Filtering
Basic Structural (Time Series) Model
Non-Gaussian Basic Structural (Time Series) Model
Bayesian Inference of State Space Models
Prior objects for bssm models
Quick Diagnostics Checks for run_mcmc
Output
Example C++ Codes for Non-Linear and SDE Models
(Iterated) Extended Kalman Filtering
Extended Kalman Smoothing
Extended Kalman Particle Filtering
Effective Sample Size for IS-type Estimators
Expand the Jump Chain representation
Fitted for State Space Model
Gaussian Approximation of Non-Gaussian/Non-linear State Space Model
Integrated Autocorrelation Time
Importance Sampling from non-Gaussian State Space Model
Kalman Filtering
Extract Log-likelihood of a State Space Model of class bssm_model
Particle Smoothing
Trace and Density Plots for mcmc_output
Run Post-correction for Approximate MCMC using -APF
Predictions for State Space Models
Print Results from MCMC Run
Bayesian Inference of State Space Models
Simulation Smoothing
Kalman Smoothing
General multivariate linear Gaussian state space models
General Non-Gaussian State Space Model
General multivariate nonlinear Gaussian state space models
Univariate state space model with continuous SDE dynamics
General univariate linear-Gaussian state space models
General univariate non-Gaussian state space model
Suggest Number of Particles for -APF Post-correction
Summary Statistics of Posterior Samples
Stochastic Volatility Model
Unscented Kalman Filtering
Efficient methods for Bayesian inference of state space models via Markov chain Monte Carlo (MCMC) based on parallel importance sampling type weighted estimators (Vihola, Helske, and Franks, 2020, <doi:10.1111/sjos.12492>), particle MCMC, and its delayed acceptance version. Gaussian, Poisson, binomial, negative binomial, and Gamma observation densities and basic stochastic volatility models with linear-Gaussian state dynamics, as well as general non-linear Gaussian models and discretised diffusion models are supported. See Helske and Vihola (2021, <doi:10.32614/RJ-2021-103>) for details.