Selection of sampling units under a correlated population based on the eigensystem of the population covariance matrix

Environmetrics

Volumn 15, Issue 8, 2004, Pages 757-775

  Chao, Chang Tai ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Eigensystem; Gaussian model; Log Gaussian model; Model based sampling; Optimal sampling strategy

Indexed keywords

COVARIANCE ANALYSIS; EIGENVALUE; GAUSSIAN METHOD; POPULATION MODELING; SAMPLING;

EID: 10044290383     PISSN: 11804009     EISSN: None     Source Type: Journal    
DOI: 10.1002/env.655     Document Type: Article

References (18)

1. Anderson TW. 1984. An Introduction to Multivariate Statistical Analysis, 2nd ed., John Wiley & Sons: New York.
2. Arbia G, Lafratta G. 2002. Anisotropic spatial sampling designs for urban pollution. Applied Statistics 51: 223-234.
3. Basu D. 1969. Role of the sufficiency and likelihood principles in sample survey theory. Sankhyā A31: 441-454.
4. Bolfarine H, Zacks S. 1992. Prediction Theory for Finite Population. Springer Verlag: New York.
5. Chao CT. 2003. Markov chain Monte Carlo on adaptive sampling selections. Environmental and Ecological Statistics 10: 129-151.
6. Chao CT, Thompson SK. 2001. Optimal adaptive selection of sampling sites. Environmetrics 12: 517-538.
7. Cressie NAC. 1993. Statistics for Spatial Data, Revised version. Wiley: New York.
8. Flores LA, Martínez LI, Ferrer CM. 2003. Environmetrics 14: 45-61.
9. Godambe VP. 1955. A unified theory of sampling from finite population. Journal of the Royal Statistical Society B17: 269-278.
10. Johnson RA, Wichern DW. 1998. Applied Multivariate Statistical Analysis, 4th ed. Prentice-Hall Inc: Upper Saddle River, NJ.
11. Matérn B. 1986. Spatial Variation, 2nd ed. Springer-Verlag: Berlin.
12. Rencher AC. 1995. Methods of Multivariate Analysis. John Wiley & Sons: New York.
13. Ripley BD. 1981. Spatial Statistics. Wiley: New York.
14. Sacks J, Schiller S. 1988. Spatial design. In Statistical Decision Theory and Related Topics IV, Vol. 2, Gupta SS, Beregr JO (eds). Springer: New York; 385-395.
15. Solomon H, Zacks S. 1970. Optimal design of sampling from finite populations: a critical review and indication of new research areas. Journal of the American Statistical Association 65: 653-677.
16. Thompson SK, Seber GAF. 1996. Adaptive Sampling. Wiley: New York.
17. 2 emissions related to the Yellowstone volcanic system 2. Statistical sampling, total degassing, and transport mechanisms. Journal of Geophysical Research 105(10): 831-846.
18. Zacks S. 1969. Bayes sequential design of fixed size samples from finite population. Journal of American Statistical Association 64: 1342-1369.