Acta Stereologica

0351-580X

 

since 05 December 2013 :
View(s): 113 (4 ULiège)
Download(s): 35 (1 ULiège)
print        
Jiří Janáček

Errors of spatial grids estimators of volume and surface area

Article
Open Access

Attached document(s)

Annexes

Abstract

Errors of the volume and surface area estimators that use IUR spatial grids of points, lines and planes are calculated using geometric characteristics of the objects under study. Coefficients in trend terms of asymptotic formulae for variances of volume estimators that use simple orthogonal grids are calculated. The variance of surface area estimation using spatial grids of lines has two components, the variance due to orientation and the residual variance. Upper bounds of the component of the error of surface area estimator due to the orientation are calculated for various sets of directions of grid lines. Coefficients in trend terms of asymptotic formulae for residual variances of the surface area estimators using triple orthogonal spatial grids of lines are calculated.

Keywords : spatial grid, surface area, systematic sampling, variance, volume

To cite this article

Jiří Janáček, «Errors of spatial grids estimators of volume and surface area», Acta Stereologica [En ligne], Volume 18 (1999), Number 3 - Nov. 1999, 389-396 URL : https://popups.ulg.ac.be/0351-580x/index.php?id=2390.

About: Jiří Janáček

Institute of Physiology, Academy of Sciences of the Czech Republic