Entropy of unequal probability sampling designs

Statistical Methodology

Volumn 7, Issue 2, 2010, Pages 84-97

  Grafström, Anton ^a  

^a UMEÅ UNIVERSITY   (Sweden)

Author keywords

Entropy; Probability functions; Sampling designs; Unequal probability sampling

Indexed keywords

EID: 75349104475     PISSN: 15723127     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.stamet.2009.10.005     Document Type: Article

References (20)

1. Aires N. Comparisons between conditional Poisson sampling and Pareto πps sampling designs. J. Statist. Plann. Inference 88 (2000) 133-147
2. Bondesson L., Traat I., and Lundqvist A. Pareto sampling versus Sampford and conditional Poisson sampling. Scand. J. Statist. 33 (2006) 699-720
3. Bondesson L., and Thorburn D. A list sequential sampling method suitable for real-time sampling. Scand. J. Statist. 35 (2008) 466-483
4. Bondesson L. The splitting method for unequal probability sampling. In: Balakrishnan N. (Ed). Encyclopedia of Statistical Sciences. second ed. (2008), Wiley, New York
5. Berger Y. Rate of convergence to normal distribution for the Horvitz-Thompson estimator. J. Statist. Plann. Inference 67 (1998) 209-226
6. Brewer K.R.W. A simple procedure for πpswor. Austral. J. Statist. 17 (1975) 166-172
7. Brewer K.R.W., and Hanif M. Sampling with Unequal Probabilities. Lecture Notes in Statistics vol. 15 (1983), Springer-Verlag, New York
8. Brewer K.R.W., and Donadio M. The high entropy variance of the Horvitz-Thompson estimator. Survey Methodol. 29 (2003) 189-196
9. Deville J.-C., and Tillé Y. Unequal probability sampling without replacement through a splitting method. Biometrika 85 (1998) 89-101
10. Grafström A. Non-rejective implementations of the Sampford sampling design. J. Statist. Plann. Inference 139 (2009) 2111-2114
11. Grafström A. Repeated Poisson sampling. Statist. Probab. Lett. 79 (2009) 760-764
12. Hájek J. Sampling from a Finite Population (1981), Marcel Dekker, New York
13. Lundqvist A. On the distance between some πps sampling designs. Acta Appl. Math. 97 (2007) 79-97
14. Miller G. Note on the bias of information estimates. In: Quastler H. (Ed). Information Theory in Psychology II-B (1955), Free Press, Glencoe, IL 95-100
15. Pea J., Qualité L., and Tillé Y. Systematic sampling is a minimum support design. Comput. Statist. Data Anal. 51 (2007) 5591-5602
16. Rosén B. Asymptotic theory for order sampling. J. Statist. Plann. Inference 62 (1997) 135-158
17. Rosén B. On sampling with probability proportional to size. J. Statist. Plann. Inference 62 (1997) 159-191
18. Sampford M.R. On sampling without replacement with unequal probabilities of selection. Biometrika 54 (1967) 499-513
19. Tillé Y. Sampling Algorithms. Springer Series in Statistics (2006), Springer science + Business media, Inc., New York
20. Traat I. Sampling design as a multivariate distribution. In: Kollo T., Tiit E.-M., and Srivastava M. (Eds). New Trends in Probability and Statistics (Proceedings of the 6th Tartu conference) (2000), VSP, Utrecht 195-207