Bayesian probability theory is applied to the model selection problem in describing the energy confinement of a fusion plasma by scaling laws. Here several possible physical scenarios lead to different models with a certain number of free parameters which are used to assign dimensional information to the scaling law. Using a recently assembled database of the W7-AS stellar ator magnetic confinement device a dimensionally constrained analysis is performed. Probabilities for all models and the associated exponents of a power law scaling function are presented.
|Title of host publication||Maximum Entropy and Bayesian Methods|
|Editors||Gary J. Erickson, Joshua T. Rychert, C. Ray Smith|
|Number of pages||9|
|ISBN (Print)||978-94-010-6111-7 978-94-011-5028-6|
|Publication status||Published - 1998|
|Name||Fundamental Theories of Physics|
- Artificial Intelligence (incl. Robotics), Coding and Information Theory, Discrete Mathematics in Computer Science, model comparison, Plasma Energy Confinement, Probability Theory and Stochastic Processes, Scaling Law Exponents, Statistics, general