Title page for etd-0624107-114731


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URN etd-0624107-114731
Author Kung-sheng Wu
Author's Email Address No Public.
Statistics This thesis had been viewed 5062 times. Download 1424 times.
Department Applied Mathematics
Year 2006
Semester 2
Degree Master
Type of Document
Language English
Title Card-Shuffling Analysis with Weighted Rank Distance
Date of Defense 2007-05-25
Page Count 17
Keyword
  • Log rank
  • Wilcoxon rank
  • randomness
  • weighted distance
  • Abstract In this paper, we cite two weighted rank distances (Wilcoxon rank and Log rank) to analyze how many times must a deck of 52 cards be shuffled to become
    sufficiently randomized. Bayer and Diaconis (1992) used the variation distance as a measure of randomness to analyze the card-shuffling. Lin (2006) used the deviation distance to analyze card-shuffling without complicated mathematics formulas. We provide two new ideas to measure the distance for card-shuffling analysis.
    Advisory Committee
  • Fu-Chuen Chang - chair
  • none - co-chair
  • none - co-chair
  • Chin-San Lee - advisor
  • Files
  • etd-0624107-114731.pdf
  • indicate accessible in a year
    Date of Submission 2007-06-24

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