Unequal probability sampling without replacement through a splitting method

Biometrika

Volumn 85, Issue 1, 1998, Pages 89-101

  Deville, Jean Claude ^a   Tillé, Yves ^b  

^a Institut National de la Statistique et des etudes economiques   (France)

^b ENSAI Ecole Nationale de la Statistique et de lAnalyse de lInformation   (France)

Author keywords

Sampling without replacement; Unequal probability sampling

Indexed keywords

EID: 0043044663     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/85.1.89     Document Type: Article

References (16)

1. BETHLEHEM, J. G. & SCHUERHOFF, M. H. (1984). Second-order inclusion probabilities in sequential sampling without replacement with unequal probabilities. Biometrika 71, 642-4.
2. BREWER, K. R. W. & HANIF, M. (1983). Sampling with Unequal Probabilities. New York: Springer-Verlag.
3. CHAD, M. T. (1982). A general purpose unequal probability sampling plan. Biometrika 69, 653-6.
4. GABLER, S. (1981). A comparison of Sampford's sampling procedure versus unequal probability sampling with replacement. Biometrika 68, 725-7.
5. GABLER, S. (1984). On unequal probability sampling: sufficient conditions for the superiority of sampling without replacement. Biometrika 84, 171-5.
6. HANSEN, M. H. & HURWITZ, W. N. (1943). On the theory of sampling from finite populations. Ann. Math. Statist. 14, 332-62.
7. HEDAYAT, A. S., LIN, B.-Y. & STUFKEN, J. (1989). The construction of UPS sampling designs through a method of emptying boxes. Ann. Statist. 17, 1886-905.
8. HEDAYAT, A. S. & SINHA, K. S. (1991). Design and Inference in Finite Population Sampling. New York: Wiley.
9. HORVITZ, D. G. & THOMPSON, D. J. (1952). A generalisation of sampling without replacement from a finite universe. J. Am. Statist. Assoc. 47, 663-85.
10. SAMPFORD, M. R. (1967). On sampling without replacement with unequal probabilities of selection. Biometrika 54, 499-513.
11. SEN, A. R. (1953). On the estimate of variance in sampling with varying probabilities. J. Indian Soc. Agric. Statist. 5, 119-27.
12. SENGUPTA, S. (1989). On Chao's unequal probability sampling plan. Biometrika 76, 192-6.
13. SINHA, B. K. (1973). On sampling schemes to realize preassigned sets of inclusion probabilities of first two orders. Bull. Calcutta Statist. Assoc. 22, 89-110.
14. TILLÉ, Y. (1996). An elimination procedure for unequal probability sampling without replacement. Biometrika 83, 238-41.
15. WYNN, H. P. (1977). Convex sets on finite population plans. Ann. Statist. 5, 414-8.
16. YATES, F. & GRUNDY, P. M. (1953). Selection without replacement from within strata with probability proportional to size. J. R. Statist. Soc. B 15, 235-61.