MCMC toolbox for Matlab - Examples

These examples are all Matlab scripts and the web pages are generated using the publish function in Matlab. This collection of examples is a part of the mcmcstat source code, in the examples sub directory. They use the MCMC toolbox, only.

Monod model: Fitting two dimensional Monod model for bacterial growth.
Dose response: The classical beetle data is analysed using logistic regression and MCMC.
Algae model: Simple dynamic ODE model describes a nutirition food web in a lake.
Chemical kinetics model 1: Simple chemical kinetics example with 3 model parameters.
Chemical kinetics model 2: This example uses some advanced features of the toolbox. The data is made of two batches and some of the unknowns are local to the batches.
Normal: Sample from a fixed multi dimensional Gaussian distribution to test the MCMC algorithm.
Banana: Another technical example to check that the method works also with non Gaussian target distributions

These three examples were motivated by the interactive discussion in https://www.biogeosciences.net/14/4295/2017/bg-14-4295-2017-discussion.html

50 d Gaussian: 50 dimensional Gaussian target.
Cauchy distribution: 10 dimensional Cauchy distribution.
3 modes: 4 dimensional mixed Gaussian with 3 distinct modes.