Pareto sampling versus sampford and conditional poisson sampling

Scandinavian Journal of Statistics

Volumn 33, Issue 4, 2006, Pages 699-720

  Bondesson, Lennart ^a   Traat, Imbi ^b   Lundqvist, Anders ^a  

^a UMEÅ UNIVERSITY   (Sweden)

^b UNIVERSITY OF TARTU   (Estonia)

Author keywords

ps sample; Acceptance rejection; Conditional poisson sampling; Horvitz Thompson estimator; Inclusion probabilities; Laplace approximation; Pareto sampling; Sampford sampling; Variance estimation

Indexed keywords

EID: 33750977817     PISSN: 03036898     EISSN: 14679469     Source Type: Journal    
DOI: 10.1111/j.1467-9469.2006.00497.x     Document Type: Review

References (33)

1. Aires, N. (1999). Algorithms to find exact inclusion probabilities for conditional Poisson sampling and Pareto πps sampling designs. Method Comput. Appl. Probab. 4, 457-469.
2. Aires, N. (2000). Comparisons between conditional Poisson sampling and Pareto πps sampling designs. J. Statist. Plann. Inference 88, 133-147.
3. Aires, N. (2004). A guide to the Fortran programs to calculate the inclusion probabilities for conditional Poisson sampling and Pareto πps sampling designs. Comput. Statist. 19, 337-345.
4. Aires, N. & Rosén, B. (2005). On inclusion probabilities and estimator bias for Pareto πps sampling. J. Statist. Plann. Inference 128, 543-567.
5. Aires, N., Jonasson, J. & Nerman, O. (2002). Order sampling design with prescribed inclusion probabilities. Scand J. Statist. 29, 183-187.
6. Bondesson, L. & Traat, I. (2005). On a matrix with integer eigenvalues and its relation to conditional Poisson sampling. Res. Lett. Inf. Math. Sci. 8, 155-163.
7. Brewer, K. R. W. & Hanif, M. (1983). Sampling with unequal probabilities. Lecture Notes in Statistics, no. 15. Springer-Verlag, New York.
8. Broström, G. & Nilsson, L. (2000). Acceptance-rejection sampling from the conditional distribution of independent discrete random variables given their sum. Statistics 34, 247-257.
9. Chen, S. X. (2000). General properties and estimation of conditional Bernoulli models. J. Multivariate Anal. 74, 69-87.
10. Chen, S. X. & Liu, J. S. (1997). Statistical applications of the Poisson-Binomial and conditional Bernoulli distributions. Statistica Sinica 7, 875-892.
11. Chen, S. X., Dempster, A. P. & Liu, J. S. (1994). Weighted finite population sampling to maximize entropy. Biometrika 81, 457-469.
12. Deville, J.-C. (2000). Note sur l'algorithm de Chen, Dempster et Liu. Hand-written note. CREST-ENSAI, Rennes.
13. Grafström, A. (2005). Comparisons of methods to generate conditional Poisson samples and Sampford samples. Master's thesis, Department of Mathematics and Mathematical Statistics, Umeå University, Umeå.
14. Hajek, J. (1964). Asymptotic theory of rejective sampling with varying probabilities from a finite population. Ann. Math. Statist. 35, 1491-1523.
15. Hajek, J. (1981). Sampling from a finite population. Marcel Dekker, New York.
16. Kass, R. E. (1997). Laplace's method. In Encyclopedia of statistical sciences, Update Vol. 1 (eds S. Kotz, C. B. Read & D. L. Banks), 347-354. Wiley, New York.
17. Lundqvist, A. & Bondesson, L. (2005). On sampling with desired inclusion probabilities of first and second order. Research report 3 in mathematical statistics. Umeå University, Umeå, Sweden.
18. Matei, A. & Tillé, Y. (2005). Evaluation of variance approximations and estimators in maximum entropy sampling with unequal probability and fixed sample size. J. Official Statist. 21 (in press).
19. Ohlsson, E. (1990). Sequential Poisson sampling from a business register and its application to the Swedish consumer price index. R&D Report 1990:6, Statistics Sweden, Stockholm.
20. Ohlsson, E. (1998). Sequential Poisson sampling. J. Official Statist. 14, 149-162.
21. Öhlund, A. (1999). Comparisons of different methods to generate Bernoulli distributed random numbers given their sum. Master's thesis, Department of Mathematical Statistics, Umeå University, Umeå, Sweden (in Swedish).
22. Rao, C. R. (1973). Linear statistical inference and its applications, 2nd edn. Wiley, New York.
23. Rosén, B. (1997a). Asymptotic theory for order sampling. J. Statist. Plann. Inference 62, 135-158.
24. Rosén, B. (1997b). On sampling with probability proportional to size. J. Statist. Plann. Inference 62, 159-191.
25. Rosén, B. (2000a). On inclusion probabilities for order πps sampling. J. Statist. Plann. Inference 90, 117-143.
26. Rosén, B. (2000b). A user's guide to Pareto πps sampling. R&D Report 2000:6, Statistics Sweden, Stockholm.
27. Ross, S. M. (1997). Simulation, 2nd edn. Academic Press, San Diego, CA.
28. Saavedra, P. (1995). Fixed sample size PPS approximations with a permanent random number. 1995 Joint Statistical Meetings American Statistical Association, Orlando, Florida.
29. Sampford, M. R. (1967). On sampling without replacement with unequal probabilities of selection. Biometrika 54, 499-513.
30. Särndal, C.-E, Swensson, B. & Wretman, J. (1992). Model assisted survey sampling. Springer-Verlag, New York.
31. Swensson, B. (1997). On Pareto πps sampling. Theory Stochastic Processes 3, 447-452.
32. Tillé, Y. (2005). Sampling algorithms. Technical Report, Neuchâtel, Switzerland.
33. Traat, I., Bondesson, L. & Meister, K. (2004). Sampling design and sample selection through distribution theory. J. Statist. Plann. Inference 123, 395-413.