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

Ekaterina Poliakova


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.

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

Full Text:


DOI: 10.5566/ias.2539

Copyright (c) 2022 Image Analysis & Stereology

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)