Back to Search
Start Over
UNBIASED ESTIMATORS OF SPECIFIC CONNECTIVITY
- Source :
- Image Analysis and Stereology, Vol 26, Iss 3, Pp 129-136 (2011), Image Analysis and Stereology, Image Analysis and Stereology, International Society for Stereology, 2007, 26, pp.129-136, Image analysis and stereology
- Publication Year :
- 2011
- Publisher :
- Slovenian Society for Stereology and Quantitative Image Analysis, 2011.
-
Abstract
- This paper deals with the estimation of the specific connectivity of a stationary random set in IRd. It turns out that the "natural" estimator is only asymptotically unbiased. The example of a boolean model of hypercubes illustrates the amplitude of the bias produced when the measurement field is relatively small with respect to the range of the random set. For that reason unbiased estimators are desired. Such an estimator can be found in the literature in the case where the measurement field is a right parallelotope. In this paper, this estimator is extended to apply to measurement fields of various shapes, and to possess a smaller variance. Finally an example from quantitative metallography (specific connectivity of a population of sintered bronze particles) is given.
- Subjects :
- Acoustics and Ultrasonics
unbiased estimation
Materials Science (miscellaneous)
General Mathematics
edge effects
Best linear unbiased prediction
U-statistic
Lehmann–Scheffé theorem
Combinatorics
Minimum-variance unbiased estimator
Euler-Poincaré characteristic
Stein's unbiased risk estimate
Applied mathematics
Radiology, Nuclear Medicine and imaging
Instrumentation
ComputingMilieux_MISCELLANEOUS
Mathematics
[STAT.AP]Statistics [stat]/Applications [stat.AP]
lcsh:R5-920
specific connectivity
lcsh:Mathematics
Estimator
Boolean model
lcsh:QA1-939
Efficient estimator
Unbiased rendering
Signal Processing
Computer Vision and Pattern Recognition
lcsh:Medicine (General)
Biotechnology
Subjects
Details
- Language :
- English
- ISSN :
- 18545165 and 15803139
- Volume :
- 26
- Issue :
- 3
- Database :
- OpenAIRE
- Journal :
- Image Analysis and Stereology
- Accession number :
- edsair.doi.dedup.....f45d3f013a51f49cd02d90991e1d481d