Smooth estimation of size distributions in an oriented cylinder model
G Jongbloed (TU Delft - Delft Institute of Applied Mathematics)
KS Mc Garrity (Material Innovation Institute (M2i))
J. Sietsma (TU Delft - Materials Science and Engineering, TU Delft - (OLD) MSE-3)
More Info
expand_more
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
Abstract
Kernel estimators are proposed for estimating the cumulative distribution functions and the probability density functions of several quantities of interest in a stereological oriented cylinder model. This oriented cylinder model was developed to represent anisotropic microstructural features in materials. The asymptotic properties of these estimators are studied, and the estimators are applied to two banded dual phase steel microstructures. The estimation method is quite general and can also be applied to distributions of other univariate quantities of interest.
help_outline