On estimation and hypothesis testing of the grain size distribution by the Saltykov method

english

2008

volume 27, issue 3

Computer Simulation    Particle Size   Image Processing, Computer-Assisted   Probability 

Društvo za stereologijo in kvantitativno analizo slike
(Obvezni izvod spletne publikacije)

The paper considers the problem of validity of unfolding the grain size distribution with the back-substitution method. Due to the ill-conditioned nature of unfolding matrices, it is necessary to evaluate the accuracy and precision of parameter estimation and to verify the possibility of expected grain size distribution testing on the basis of intersection size histogram data. In order to review these questions, the computer modeling was used to compare size distributions obtained stereologically with those possessed by three-dimensional model aggregates of grains with a specified shape and randomsize. Results of simulations are reported and ways of improving the conventional stereological techniques are suggested. It is shown that new improvements in estimating and testing procedures enable grain size distributions to be unfolded more efficiently.

16.09.2009