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Original Articles

Bounds on the Tail Probability and Absolute Difference Between Two Distributions

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Pages 519-532 | Published online: 02 Sep 2006

References

  • Cover , T. M. and Thomas , J. A. 1991 . Elements of Information Theory New York : John Wiley Sons Inc. .
  • Frontini , M. and Tagliani , A. 1997 . Entropy-convergence in Stiltjes and Hamburger moment problem . Applied Math. and Computation , 88 : 39 – 51 .
  • Goria , M. N. 1992 . “ Fractional Absolute moments of the Cauchy Distribution ” . In Quaderni di Statistica e Matematica applicata alle scienze Economico-Sociali Vol. 1 , 3 – 9 . Trento University .
  • Kesavan , H. K. and Kapur , J. N. 1992 . Entropy Optimization Principles with Applications Academic Press .
  • Kullback , S. 1967 . A lower bound for discrimination information in terms of variation . IEEE Transaction on Information Theory , IT-13 : 126 – 127 .
  • Lin , G. D. 1992 . Characterizations of Distributions via moments . Sankhya: The Indian Journal of Statistics , 54 ( Series A ) : 128 – 132 .
  • Lindsay , B. G. and Basak , P. Moments determine the tail of a distribution (but not much else) . The American Statistician , 2001 to appear
  • Naveau , P. 1997 . Comparison between the Chernoff and factorial moment bounds for discrete random variables . The American Statistician , 51 ( 1 ) : 40 – 41 .
  • Philips , T. K. and Nelson , R. 1995 . The moment bound is tighter than Chernoff's bound for positive tail probabilities . The American Statistician , 49 ( 2 ) : 175 – 178 .
  • Tagliani , A. 2000 . Inverse Z transform and moment problem . Probability in Engineering and Informational Sciences , 14 : 393 – 404 .
  • Toussaint , G. T. 1975 . Sharper lower bounds for discrimination information in terms of variation . IEEE Transaction on Information Theory , IT-21 ( Corresp. ) : 99 – 100 .

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