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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

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Extending JAGS: a tutorial on adding custom distributions to JAGS (with a diffusion model example).

Dominik Wabersich¹, Joachim Vandekerckhove

¹Department of Cognitive Sciences, University of California, Irvine, CA, USA, dominik.wabersich@gmail.com.

Behavior Research Methods

|August 21, 2013

Summary

This summary is machine-generated.

This study shows how to add custom distributions to JAGS (Just Another Gibbs Sampler), enhancing its flexibility for statistical modeling. The developed Wiener diffusion distribution is now available for broader use.

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Area of Science:

Computational statistics
Statistical software development

Background:

JAGS (Just Another Gibbs Sampler) is a general-purpose graphical modeling package.
Extensibility is a key design principle of JAGS, allowing for custom modules.

Purpose of the Study:

To demonstrate the method for integrating custom probability distributions into JAGS.
To provide an example implementation of the Wiener diffusion first-passage time distribution within JAGS.

Main Methods:

Developing custom modules in C++ for JAGS.
Runtime loading of new modules without disrupting existing functionality.
Implementing the Bernoulli and Wiener diffusion first-passage time distributions as examples.

Main Results:

Successful integration of custom distributions into JAGS.
A functional implementation of the Wiener diffusion first-passage time distribution is available.
The process of adding modules is described, with installation varying by OS.

Conclusions:

JAGS's modular design facilitates the addition of custom distributions.
The developed Wiener distribution enhances JAGS's capabilities for specific statistical models.