Kousholt, A.; Ziegel, Johanna F.; Kiderlen, M.; Jensen, E. B. Vedel
(2017).
*
Stereological estimation of mean particle volume tensors in R³ from vertical sections.
*
In:
Jensen, Eva B. Vedel; Kiderlen, Markus
(eds.)
Tensor Valuations and their applications in Stochastic Geometry and Imaging. Lecture Notes in Mathematics: Vol. 2177 (pp. 423-434).
Springer

In this chapter, we discuss stereological estimation of mean particle volume tensors in R³ from vertical sections. We consider a particle process of compact particles that can be represented as a stationary marked point process. Under the assumption that the particle distribution is invariant under rotations around a fixed axis, called the vertical axis, we show how the mean particle volume tensors can be estimated consistently (in a probabilistic sense) from observations in vertical sections through a sample of particles. In a simulation study, the new estimator has a superior behaviour compared to an earlier estimator based on observations in several optical planes.

## Item Type: |
Book Section (Book Chapter) |
---|---|

## Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematical Statistics and Actuarial Science |

## UniBE Contributor: |
Ziegel, Johanna F. |

## Subjects: |
500 Science > 510 Mathematics |

## ISSN: |
0075-8434 |

## ISBN: |
978-3-319-51950-0 |

## Series: |
Lecture Notes in Mathematics |

## Publisher: |
Springer |

## Language: |
English |

## Submitter: |
Johanna Fasciati-Ziegel |

## Date Deposited: |
08 Nov 2017 09:18 |

## Last Modified: |
08 Nov 2017 09:18 |

## URI: |
https://boris.unibe.ch/id/eprint/105337 |