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General

Double-Elimination Tournaments: Counting and Calculating

Pages 27-33 | Received 01 Oct 1993, Published online: 17 Feb 2012

References

  • Chung , F. R. K. and Hwang , F. K. 1978 . “Do Stronger Players Win More Knockout Tournaments?,” . The American Statistician , 73 : 593 – 596 .
  • Edwards , C. T. 1991 . “The Combinatorial Theory of Single-Elimination Tournaments,” , Ph.D. dissertation Montana State University .
  • Hwang , F. K. 1982 . “New Concepts in Seeding Knockout Tournaments,” . American Mathematical Monthly , 89 : 235 – 239 .
  • Ladwig , J. A. and Schwertman , N. C. 1992 . “Using Probability and Statistics to Analyze Tournament Competitions,” . Chance , 5 : 49 – 53 .
  • Maurer , W. 1975 . “On Most Effective Tournament Plans with Fewer Games than Competitors,” . Annals of Statistics , 3 : 717 – 727 .
  • Schwertman , N. C. , McCready , T. A. and Howard , L. 1991 . “Probability Models for the NCAA Regional Basketball Tournaments,” . The American Statistician , 45 : 35 – 38 .
  • Searls , D. T. 1963 . “On the Probability of Winning with Different Tournament Procedures,” . The American Statistician , 58 : 1064 – 1081 .
  • Székely , L. A. and Grossman , J. W. 1991 . “Solution to Problem # E3349, Proposed by Székely and Solved by Grossman,” . American Mathematical Monthly , 98 : 554 – 555 .

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