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Original Articles

Bonferroni-Type Bounds of Degree Three

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Pages 857-872 | Published online: 02 Sep 2006

References

  • Bonferroni , C. E. 1936 . Teoria statistica classi e calcolo delle probabilita . Publ. R. Ist. Super. Sci. Econ. Comm. Firenze. , 8 : 1 – 62 .
  • Boole , G. 1854 . The Laws of Thought Chicago : Open Court . Chapter XIX.(1916 reprint)
  • Galambos , J. and Simonelli , I. 1996 . Bonferroni-Type Inequalities with Applications New York : Springer Verlag .
  • Hoppe , M. and Seneta , E. 1990 . A Bonferroni-type identity and permutation bounds . Int. Statist. Rev. , 58 : 253 – 261 .
  • Hunter , D. 1976 . An upper bound for the probability of a union . J. Appl. Prob. , 13 : 597 – 603 .
  • Kounias , E. 1968 . Bounds for the probability of a union, with applications . Ann. Math. Statist , 39 : 2154 – 2158 .
  • Meng , Q. Y. 1998 . Growth curve analysis with a repeated measurements model Uppsala University, Dept. of Math. . Report. #8
  • Naiman , D. Q. and Wynn , H. P. 1997 . Abstract tubes, improved inclusive–exclusive identities and inequalities and importance sampling . Ann. Statist. , 25 : 1954 – 1983 .
  • Worsley , K. J. 1982 . An improved Bonferroni inequality and applications . Biometrika , 69 : 297 – 302 .
  • Worsley , K. J. 1985 . Bonferroni (improved) wins again . The American Statistician , 39 : 235

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