Paper Title:
Statistical Errors of Texture Entities Based on EBSD Orientation Measurements
  Abstract

The determination of an ODF, C-coefficients, property tensors and portions of texture components from EBSD orientation measurements is afflicted with statistical errors introduced by incomplete sampling of the grains. Since the measurements are highly spatially correlated and stochastically dependent, classical sampling theory does not apply. A general statistical method for error estimation in the presence of stochastically dependent observations has been developed and applied to the most important quantities of texture analysis. The method is based on the assumption of a finite range of dependence between different measurements and on the estimation of the covariance in the observed set of orientation. The methods allows the computation of standard measurement errors and confidence limits for the mentioned texture quantities. It can be used for an objective decision whether two textures are statistically equal or not, based on the comparison of estimated ODFs. Further we can decide statistically whether the ODF obeys certain types of symmetry (e.g. whether it is a girdle textures or whether it is symmetric about the shear plane observed in the field).

  Info
Periodical
Materials Science Forum (Volumes 495-497)
Edited by
Paul Van Houtte and Leo Kestens
Pages
179-184
DOI
10.4028/www.scientific.net/MSF.495-497.179
Citation
K.G. van den Boogaart, "Statistical Errors of Texture Entities Based on EBSD Orientation Measurements", Materials Science Forum, Vols. 495-497, pp. 179-184, 2005
Online since
September 2005
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Zhen Dong Li, Cui Xian Sun, Cheng Wang
Abstract:The unbiased estimator of unknown parametric function based on possion’s population is discussed, and the expression of two classes of...
713
Authors: Guo Liang Ding, Biao Chu, Yi Jin, Chang An Zhu
Chapter 2: Research on Materials,Mechanics and Technologies
Abstract:A critical challenge in prediction of material property is the accuracy of estimation for regression coefficient between the structure or...
166
Authors: Cheng Dong Wu, Peng Da Liu, Yun Zhou Zhang, Long Cheng, Jing Yu Ru
Chapter 4: Sensor, Actuator Technology and Wireless Sensor Networks Applications
Abstract:In wireless sensor networks, NLOS propagation often enlarges the errors of position estimates when time-of-arrival (TOA) measurements are...
382
Authors: Jin Liang Wang, Ming Fa Zhou, Qiong Wu
Chapter 5: Numerical Methods, Computation Methods and Algorithms for Modeling, Simulation and Optimization, Data Mining and Data Processing
Abstract:For a population according to a uniform distribution where is known, Thomas Yageen (1996) derived an efficient estimator for . Here for the...
1800