### Abstract

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.

Original language | English |
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Title of host publication | Maximum Entropy and Bayesian Methods |

Editors | Gary J. Erickson, Joshua T. Rychert, C. Ray Smith |

Publisher | Springer Netherlands |

Pages | 137-145 |

Number of pages | 9 |

ISBN (Print) | 978-94-010-6111-7 978-94-011-5028-6 |

Publication status | Published - 1998 |

### Publication series

Name | Fundamental Theories of Physics |
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Publisher | Springer Netherlands |

### Keywords

- 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

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## Cite this

Preuss, R., Dose, V., & Linden, W. V. D. (1998). Model Comparison with Energy Confinement Data from Large Fusion Experiments. In G. J. Erickson, J. T. Rychert, & C. R. Smith (Eds.),

*Maximum Entropy and Bayesian Methods*(pp. 137-145). (Fundamental Theories of Physics). Springer Netherlands.