Defining and Applying a New Approximation for the Parametric Probability Densities of Spherical Particle Profile Sizes

Ekaterina Poliakova

Abstract

A novel approximation for the parametric probability densities of spherical particle profile diameters is suggested. The spheres are approximated from solids obtained by rotating regular polygons around their axes of symmetry. This approximation facilitates using the maximum likelihood method in samples that have too few profiles for applying classical stereological approaches.


Keywords
distribution parameters; maximum likelihood; probability density function; small samples; spherical particles; statistics

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DOI: 10.5566/ias.2539

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