Improved estimation of the pair correlation function of random sets

Journal of Microscopy

Volumn 200, Issue 2, 2000, Pages 158-173

  Mattfeldt, T ^a,c   Stoyan, D ^b  

^a UNIVERSITY OF ULM   (Germany)

^b TU BERGAKADEMIE FREIBERG   (Germany)

^c Department of Pathology ^*  (Germany)

Author keywords

Boolean model; Covariance; Pair correlation function; Pathology; Prostatic neoplasms; Ratio estimator; Spatial statistics; Stereology; Stochastic geometry; Variance reduction

Indexed keywords

BOOLEAN FUNCTIONS; SET THEORY; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

BOOLEAN MODELING; COVARIANCE; PAIR CORRELATION FUNCTIONS; PROSTATIC NEOPLASMS; RANDOM SET; RATIO ESTIMATORS; SPATIAL STATISTICS; STEREOLOGY; STOCHASTIC GEOMETRY; VARIANCE REDUCTIONS;

VOLUME FRACTION;

ARTICLE; BREAST CARCINOMA; CANCER TISSUE; CHRONIC PANCREATITIS; CONTROLLED STUDY; CORRELATION FUNCTION; COVARIANCE; FEMALE; HUMAN; HUMAN TISSUE; MALE; MATHEMATICAL ANALYSIS; PANCREAS CARCINOMA; PRIORITY JOURNAL; PROSTATE CARCINOMA; PROSTATE HYPERTROPHY; TECHNIQUE; VARIANCE;

EID: 0033747518     PISSN: 00222720     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-2818.2000.00748.x     Document Type: Article

References (28)

1. Stereology of the pore structure in bread
2. Second-order stereology: Estimation of second moment volume measures
3. Binary mosaics and the spatial pattern of heather
4. On the geometrical methods of quantitative mineralogic analysis of rocks
5. Sampling efficiency and biological variation in stereology
6. Optimizing sampling efficiency of stereological studies in biology: Or 'Do more less well!'
7. Inter-animal variation and its influence on the overall precision of morphometric estimates based on nested sampling designs
8. Stereological estimation of the radial distribution function of centres of spheres
9. Unbiased Stereology
10. Second-order stereology
11. Random models for morphological analysis of powders
12. Reconstruction of random media using Monte Carlo methods
13. Second-order stereology of benign and malignant alterations of the human mammary gland
14. Centred contact density functions for the statistical analysis of random sets. A stereological study on benign and malignant glandular tissue using image analysis
15. Second-order stereology of prostatic adenocarcinoma and normal prostatic tissue
16. Second-order stereology and ultrastructural examination of the spatial arrangements of tissue compartments within glomeruli of normal and diabetic kidneys
17. Stereological estimation of covariance using linear dipole probes
18. Improving ratio estimators of second order point process characteristics
19. Computerized characterization of the geometry of real porous media: Their discretization, analysis and interpretation
20. A note on recent research in second-order stereology
21. Reconstructing random media
22. Reconstructing random media. II. Three-dimensional media from two-dimensional cuts