On the estimation of parameters of a spheroid distribution from planar sections

被引：4

作者：

Baaske, Markus ^{[1
,2
]}

Ballani, Felix ^{[1
]}

Illgen, Alexandra ^{[3
]}

机构：

[1] Tech Univ Bergakad Freiberg, Inst Stochast, Pruferstr 9, D-09596 Freiberg, Germany

[2] Michael Stifel Ctr Jena, Ernst Abbe Pl 2-4, D-07743 Jena, Germany

[3] Tech Univ Bergakad Freiberg, Inst Ind Management, Prod Management, Logist, Schlosspl 1, D-09596 Freiberg, Germany

来源：

SPATIAL STATISTICS | 2018年 / 26卷

关键词：

Spheroid distribution; Trivariate unfolding; Quasi-likelihood estimation; Stereology; QUASI-LIKELIHOOD; SIMULATION; SIZE;

D O I：

10.1016/j.spasta.2018.07.003

中图分类号：

P [天文学、地球科学];

学科分类号：

07 ;

摘要：

We study two different methods for inferring the parameters of a spheroid distribution from planar sections of a stationary spatial system of spheroids: one method first unfolds non-parametrically the joint size-shape-direction distribution of the observable ellipses in the plane into the joint size-shape-direction distribution of the spheroids followed by a maximum likelihood estimation of the parameters; the second method directly estimates these parameters based on statistics of the observable ellipses using a quasi-likelihood approach. As an application we consider a metal-matrix composite with ceramic particles as reinforcing inclusions, model the inclusions as prolate spheroids and estimate the parameters of their distribution from planar sections. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：83 / 100

页数：18

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