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ISSN: 2333-9721
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-  2017 

ESTIMATION OF SAMPLE SPACING IN STOCHASTIC PROCESSES

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

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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

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