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References

  1. Bentkus, V., and Götze, F., (1994). The Berry-Esseen bound for student's statistic. Ann. Probab. 24, 491--503. Math. Review 97f:62021
  2. Chistyakov, G.P., and Götze, F., (2001). Limit distibutions of studentized means. (Preprint)
  3. Darling, D.A., (1952). The influence of the maximum term in the addition of independent random variables. Trans. Amer. Math. Soc. 73, 95--107. Math. Review 14,60a
  4. Durrett, R., (1996). Probability: Theory and Examples. Second Edition, Duxbury Press, Belmont, CA. Math. Review 98m:60001
  5. Giné, E., Götze, F., and Mason, D.M., (1997). When is the student t-statistic asymptotically normal? Ann. Probab. 25, 1514--1531. Math. Review 98j:60033
  6. Giné, E. and Mason, D.M., (1998). On the LIL for self-normalized sums of IID random variables. J. Theor. Prob. 11, 351--370. Math. Review 99e:60082
  7. Griffin, P.S., and Kuelbs, J., (1991). Some extensions of the LIL via self-normalizations. Ann. Probab.19, 380--395. Math. Review 92e:60062
  8. Logan, B.F., Mallows, C.L., Rice, S.O., and Shepp, L.A., (1973). Limit distributions of self-normalized sums. Ann. Probab. 1, 788--809. Math. Review 50 #14890
  9. Shao, Qi-Man., (1997). Self-normalized large deviations. Ann. Probab. 25, 285--328. Math. Review 98b:60056
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