Coupling methods for multistage sampling

Preprint, Other literature type English OPEN
Chauvet, Guillaume (2015)
  • Publisher: The Institute of Mathematical Statistics
  • Journal: (issn: 0090-5364)
  • Related identifiers: doi: 10.1214/15-AOS1348
  • Subject: Mathematics - Statistics Theory | without-replacement sampling | with-replacement sampling | 62G09 | 62E20 | Bootstrap | 62D05 | coupling algorithm

Multistage sampling is commonly used for household surveys when there exists no sampling frame, or when the population is scattered over a wide area. Multistage sampling usually introduces a complex dependence in the selection of the final units, which makes asymptotic ... View more
  • References (39)
    39 references, page 1 of 4

    [1] Antal, E. and Till´e, Y. (2011). A direct bootstrap method for complex sampling designs from a finite population. J. Amer. Statist. Assoc. 106 534-543. MR2847968

    [2] Beaumont, J.-F. and Patak, Z. (2012). On the generalized bootstrap for sample surveys with special attention to Poisson sampling. Int. Stat. Rev. 80 127-148. MR2990349

    [3] Bertail, P. and Combris, P. (1997). Bootstrap g´en´eralis´e d'un sondage. Ann. Econom. Statist. 46 49-83.

    [4] Bickel, P. J. and Freedman, D. A. (1981). Some asymptotic theory for the bootstrap. Ann. Statist. 9 1196-1217. MR0630103

    [5] Bra¨nd´en, P. and Jonasson, J. (2012). Negative dependence in sampling. Scand. J. Statist. 39 830-838. MR3000852

    [6] Chauvet, G. (2012). On a characterization of ordered pivotal sampling. Bernoulli 18 1320-1340. MR2995798

    [7] Chauvet, G. (2015). Supplement to “Coupling methods for multistage sampling.” DOI:10.1214/15-AOS1348SUPP.

    [8] Chen, J. and Rao, J. N. K. (2007). Asymptotic normality under two-phase sampling designs. Statist. Sinica 17 1047-1064. MR2397387

    [9] Cochran, W. G. (1977). Sampling Techniques, 3rd ed. Wiley, New York. MR0474575

    [10] Davison, A. C. and Hinkley, D. V. (1997). Bootstrap Methods and Their Application. Cambridge Series in Statistical and Probabilistic Mathematics 1. Cambridge Univ. Press, Cambridge. MR1478673

  • Metrics
    views in OpenAIRE
    views in local repository
    downloads in local repository
Share - Bookmark