Bayesian Generalized Linear Models with Time-Varying
Coefficients
Bayesian generalized linear models with time-varying coefficients
as in Helske (2020, ). Gaussian, Poisson, and binomial
observations are supported. The Markov chain Monte Carlo (MCMC) computations are done using
Hamiltonian Monte Carlo provided by Stan, using a state space representation
of the model in order to marginalise over the coefficients for efficient sampling.
For non-Gaussian models, the package uses the importance sampling type estimators based on
approximate marginal MCMC as in Vihola, Helske, Franks (2020, ).
Walker provides a method for fully Bayesian generalized linear regression where the
regression coefficients are allowed to vary over "time" as a first or second order integrated random walk.
The Markov chain Monte Carlo (MCMC) algorithm uses Hamiltonian Monte Carlo provided by Stan,
using a state space representation of the model in order to marginalise over the coefficients for accurate and efficient sampling.
For non-Gaussian models the MCMC targets approximate marginal posterior based on Gaussian approximation, which is then corrected using
sequential Monte Carlo as in Vihola, Helske, Franks (2018).
See the package vignette for details and an examples.
NEWS
04.03.2019
Added methods fitted and coef for extracting the posterior means and and regression coefficents from the
walker_fit object.
Fixed issue with Makevars and clang4 per request by CRAN.
Added option to predict on mean-scale, e.g, probabilities instead of 0/1 in Bernoulli case.
Fixed a bug in the Gaussian predictions, last time point was missing the observational level noise.
25.02.2019
Issue with upcoming staged installation in CRAN fixed by Tomas Kalibera.
14.02.2019
Dimension bug in GLM case fixed.
8.11.2018
Fixed StanHeaders search in Makevars.
22.10.2018
Pull request by Ben Goodrich for fixing the issue with clang4. New version on it's way to CRAN.
15.10.2018
Missing values in response variable are now supported.
Added gamma variables to models which can be used to damp the variance of the random walks.
Tidied some Stan codes in order to reduce deep copying.
Moved stan codes under src.
Increased the iteration counts in examples in order to pass CRAN tests.
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