Open AccessDefining and applying a new approximation for the parametric probability densities of spherical particle profile sizes
Author(s) -
Ekaterina Poliakova
Publication year - 2022
Publication title -
image analysis and stereology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.237
H-Index - 27
eISSN - 1854-5165
pISSN - 1580-3139
DOI - 10.5566/ias.2539
Subject(s) - parametric statistics , spheres , circular symmetry , particle (ecology) , mathematics , symmetry (geometry) , mathematical analysis , geometry , statistical physics , physics , statistics , geology , oceanography , astronomy
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.