ESTIMATING NUMBER DENSITY NV – A COMPARISON OF AN IMPROVED SALTYKOV ESTIMATOR AND THE DISECTOR METHOD

Ashot Davtian; Ute Hahn; Joachim Ohser; Dietrich Stoyan

doi:10.5566/ias.v19.p209-214

ESTIMATING NUMBER DENSITY NV – A COMPARISON OF AN IMPROVED SALTYKOV ESTIMATOR AND THE DISECTOR METHOD

Authors

Ashot Davtian
Ute Hahn
Joachim Ohser
Dietrich Stoyan

DOI:

https://doi.org/10.5566/ias.v19.p209-214

Keywords:

disector, number density, planar sections, precision, Saltykov estimator

Abstract

Two methods for the estimation of number per unit volume NV of spherical particles are discussed: the (physical) disector (Sterio, 1984) and Saltykov's estimator (Saltykov, 1950; Fullman, 1953). A modification of Saltykov's estimator is proposed which reduces the variance. Formulae for bias and variance are given for both disector and improved Saltykov estimator for the case of randomly positioned particles. They enable the comparison of the two estimators with respect to their precision in terms of mean squared error.

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Published

2011-05-03

Issue

Vol. 19 No. 3 (2000)

Section

Original Research Paper

How to Cite

Davtian, A., Hahn, U., Ohser, J., & Stoyan, D. (2011). ESTIMATING NUMBER DENSITY NV – A COMPARISON OF AN IMPROVED SALTYKOV ESTIMATOR AND THE DISECTOR METHOD. Image Analysis and Stereology, 19(3), 209-214. https://doi.org/10.5566/ias.v19.p209-214