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References

  1. Babu, G. J. and Bai, Z. D. (1996). Mixtures of global and local Edgeworth expansions and their applications. J. Multivariate. Anal. 59 282-307. MR1423736 (98d:62023)
  2. von Bahr, B. (1972). On sampling from a finite set of independent random variables. Z. Wahrsch. Verw. Geb. 24 279--286. MR0331471 (48 #9804)
  3. Bhattacharya, R. N. and Ranga Rao, R. (1976). Normal approximation and asymptotic expansions. Wiley, New York. MR0436272 (55 #9219)
  4. Bickel, P. J. and von Zwet, W. R. (1978). Asymptotic expansions for the power of distribution-free tests in the two-sample problem. Ann. Statist. 6 937-1004. MR0499567 (80j:62043)
  5. Bikelis, A. (1969). On the estimation of the remainder term in the central limit theorem for samples from finite populations. Studia Sci. Math. Hungar. 4 345-354 (in Russian). MR0254902 (40 #8109)
  6. Bloznelis, M. (2000a). One and two-term Edgeworth expansion for finite population sample mean. Exact results, I. Lith. Math. J. 40(3) 213-227. MR1803645 (2001k:62011)
  7. Bloznelis, M. (2000b). One and two-term Edgeworth expansion for finite population sample mean. Exact results, II. Lith. Math. J. 40(4) 329-340. MR1819377 (2002d:62007)
  8. Bloznelis, M. (2003). Edgeqorth expansions for studentized versions of symmetric finite population statistics. Lith. Math. J. 43(3) 221-240. MR2019541 (2004h:62019)
  9. Bloznelis, M. and G"otze, F. (2000). An Edgeworth expansion for finite population $U$-statistics. Bernoulli 6 729-760. MR1777694 (2001k:62010)
  10. Bloznelis, M. and G"otze, F. (2001). Orthogonal decomposition of finite population statistic and its applications to distributional asymptotics. Ann. Statist. 29 899-917. MR1865345 (2002h:62029)
  11. Erd"os, P. and Renyi, A. (1959). On the central limit theorem for samples from a finite population. Fubl. Math. Inst. Hungarian Acad. Sci. 4 49-61. MR0107294 (21 #6019)
  12. H"oglund, T.(1978). Sampling from a finite population. A remainder term estimate. Scand. J. Statistic. 5 69-71. MR0471130 (57 #10868)
  13. Kokic, P. N. and Weber, N. C. (1990). An Edgeworth expansion for $U$-statistics based on samples from finite populations. Ann. Probab. 18 390-404. MR1043954 (91e:60068)
  14. Mirakjmedov, S. A. (1983). An asymptotic expansion for a sample sum from a finite sample. Theory Probab. Appl. 28(3) 492-502.
  15. Nandi, H. K. and Sen, P. K. (1963). On the properties of $U$-statistics when the observations are not independent II: unbiased estimation of the parameters of a finite population. Calcutta Statist. Asso. Bull 12 993-1026. MR0161418 (28 #4624b)
  16. Robinson, J. (1978). An asymptotic expansion for samples from a finite population. Ann. Statist. 6 1004-1011. MR0499568 (80i:62016)
  17. Schneller, W. (1989). Edgeworth expansions for linear rank statistics. Ann. Statist. 17 1103--1123. MR1015140 (90k:62043)
  18. Zhao, L.C. and Chen, X. R. (1987). Berry-Esseen bounds for finite population $U$-statistics. Sci. Sinica. Ser. A 30 113-127. MR0892467 (88k:60048)
  19. Zhao, L.C. and Chen, X. R. (1990). Normal approximation for finite population $U$-statistics. Acta Math. Appl. Sinica 6 263-272. MR1078067 (92a:60070)
  20. Zhao, L.C., Wu, C. Q. and Wang, Q. (2004). Berry-Esseen bound for a sample sum from a finite set of independent random variables. J. Theoretical Probab. 17 557-572. MR2091551 (2005i:60035)


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