### Abstract

Bayesian statistics in the frame of the maximum entropy concept has widely been used for inferential problems, particularly, to infer dynamic properties of strongly correlated fermion systems from Quantum-Monte-Carlo (QMC) imaginary time data. In current applications, however, a consistent treatment of the error-covariance of the QMC data is missing. Here we present a closed Bayesian approach to account consistently for the QMC-data.

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

Editors | Kenneth M. Hanson, Richard N. Silver |

Publisher | Springer Netherlands |

Pages | 171-178 |

Number of pages | 8 |

ISBN (Print) | 978-94-010-6284-8 978-94-011-5430-7 |

Publication status | Published - 1996 |

### Publication series

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

### Keywords

- Analytic Continuation, Covariance, Electrical Engineering, Physics, general, Probability Theory and Stochastic Processes, Quantum Monte Carlo, Spectral properties, Statistical Physics, Dynamical Systems and Complexity, Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences, Statistics, general

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## Cite this

Preuss, R., Linden, W. V. D., & Hanke, W. (1996). Spectral Properties from Quantum Monte Carlo Data: A Consistent Approach. In K. M. Hanson, & R. N. Silver (Eds.),

*Maximum Entropy and Bayesian Methods*(pp. 171-178). (Fundamental Theories of Physics). Springer Netherlands.