ESTIMATION OF SAMPLE SPACING IN STOCHASTIC PROCESSES

Anders Rønn-Nielsen, Jon Sporring, Eva B. Vedel Jensen

Abstract


Motivated by applications in electron microscopy, we study the situation where a stationary and isotropic random field is observed on two parallel planes with unknown distance. We propose an estimator for this distance. Under the tractable, yet flexible class of Lévy-based random field models, we derive an approximate variance of the estimator. The estimator and the approximate variance perform well in two simulation studies.

Keywords
Lévy-based modelling; Monte Carlo methods; random fields; stereology; section distance; systematic sampling; variance; variogram

Full Text:

PDF


DOI: 10.5566/ias.1681

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Image Analysis & Stereology
EISSN 1854-5165 (Electronic version)
ISSN 1580-3139 (Printed version)