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Diaconis on Randomness

Posted By: ah_clem
Date: Wednesday, 22 May 2013, at 4:09 p.m.

In Response To: Diaconis on Randomness (ah_clem)

Here's the table in a more readable form. Note the drop from .61 to .33 when you go from six shuffles to seven.

Total variation distance for m shuffles of 52 cards
m IIQm-UII
1 1.0
2 1.0
3 1.0
4 1.0
5 .924
6 .614
7 .334
8 .167
9 .085
10 .043

Messages In This Thread

• Diaconis on Randomness
  Chuck Bower -- Tuesday, 21 May 2013, at 5:46 p.m.
  • Diaconis on Randomness
    Timothy Chow -- Wednesday, 22 May 2013, at 12:55 a.m.
  • Diaconis on Randomness
    Phil Simborg -- Wednesday, 22 May 2013, at 4:55 a.m.
    • Diaconis on Randomness
      Steve Mellen -- Wednesday, 22 May 2013, at 5:56 a.m.
      • Diaconis on Randomness
        Jake Jacobs -- Wednesday, 22 May 2013, at 2:47 p.m.
        • Diaconis on Randomness
          Sam Pottle -- Wednesday, 29 May 2013, at 11:51 a.m.
      • Diaconis on Randomness
        ah_clem -- Wednesday, 22 May 2013, at 3:02 p.m.
        • Diaconis on Randomness
          ah_clem -- Wednesday, 22 May 2013, at 4:09 p.m.
    • Diaconis on Randomness
      Bob Koca -- Wednesday, 22 May 2013, at 11:19 a.m.
      • Diaconis on Randomness
        Colin Owen -- Wednesday, 22 May 2013, at 12:04 p.m.
        • Diaconis on Randomness
          Bob Koca -- Wednesday, 22 May 2013, at 2:04 p.m.
          • Diaconis on Randomness
            Colin Owen -- Wednesday, 22 May 2013, at 5:37 p.m.
            • Diaconis on Randomness
              Bob Koca -- Wednesday, 22 May 2013, at 6:38 p.m.
        • Diaconis on Randomness
          Douglas Zare -- Wednesday, 22 May 2013, at 9:32 p.m.
          • Diaconis on Randomness
            Timothy Chow -- Friday, 24 May 2013, at 3:07 a.m.
            • Diaconis on Randomness
              Douglas Zare -- Friday, 24 May 2013, at 7:39 a.m.
              • Diaconis on Randomness
                Bob Koca -- Friday, 24 May 2013, at 1:37 p.m.
                • Diaconis on Randomness
                  Tom Keith -- Friday, 24 May 2013, at 2:19 p.m.
                  • Diaconis on Randomness
                    Bob Koca -- Friday, 24 May 2013, at 2:34 p.m.
                    • Diaconis on Randomness
                      Tom Keith -- Friday, 24 May 2013, at 3:20 p.m.
                • Diaconis on Randomness
                  Rodney Lighton -- Friday, 24 May 2013, at 2:29 p.m.
                • Diaconis on Randomness
                  Chuck Bower -- Friday, 24 May 2013, at 9:05 p.m.
                  • Diaconis on Randomness
                    Timothy Chow -- Saturday, 25 May 2013, at 7:01 p.m.
      • Diaconis on Randomness
        Phil Simborg -- Wednesday, 22 May 2013, at 8:08 p.m.
        • Diaconis on Randomness
          Timothy Chow -- Thursday, 23 May 2013, at 1:18 a.m.
          • Diaconis on Randomness
            Phil Simborg -- Thursday, 23 May 2013, at 5:15 a.m.
    • Italians cheating allegation
      Rodney Lighton -- Thursday, 23 May 2013, at 6:50 a.m.
      • Italians cheating allegation
        Bob Koca -- Thursday, 23 May 2013, at 11:13 a.m.
        • Italians cheating allegation
          Douglas Zare -- Thursday, 23 May 2013, at 11:26 a.m.
          • Italians cheating allegation
            Bob Koca -- Thursday, 23 May 2013, at 11:31 a.m.
            • Italians cheating allegation
              Douglas Zare -- Thursday, 23 May 2013, at 12:10 p.m.
              • Italians cheating allegation
                konstantin -- Wednesday, 29 May 2013, at 4:15 p.m.
                • Italians cheating allegation
                  Wolf -- Tuesday, 4 June 2013, at 7:47 p.m.