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seen Nov 24 '11 at 12:43
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Aug
17
awarded  Scholar
Aug
17
accepted Statistical computation in matrix. Rows before columns? riddle..
Aug
16
comment Statistical computation in matrix. Rows before columns? riddle..
Sorry if I'm missing something trivial. Does this version with one "prize ball" is when failing to find the ball with the maximum amount is "bad", or it also solve the case with scores and we want in average the highest score? Maybe it is the same thing. Maybe the method that is more probable to give you the best ball is also the method that will give you in average the highest amount of money, but I fail to see why it will be the case in every condition. If it is a known fact about i.i.d, can you give me a reference?
Aug
15
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Aug
15
comment Statistical computation in matrix. Rows before columns? riddle..
About the numerical test. I'm ashamed to show it in a mathematical forum, but I ran a simulation in MATLAB, averaged over 10000 simulations. For $m=2, n=100$: Average for the 1st method (choosing column first) is $0.926$ and for 2nd method is $0.967$. I counted how many times each method was better: 1st>2nd: $0.18$, 2nd>1st: $0.59$, 1st==2n: $0.22$ For $(m,n)=(2,3)$: Avg for 1st: $0.958$ for 2nd: $0.968$. times 1st>2nd: $0.194$, 2nd>1st: $0.234$, 1st==2nd: $0.57$ For $(m,n)=(12,30)$: Avg for 1st: $0.88$ for 2nd: $0.9$. times 1st>2nd: $0.382$, 2nd>1st: $0.547$, 1st==2nd: $0.07$
Aug
15
revised Statistical computation in matrix. Rows before columns? riddle..
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15
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15
asked Statistical computation in matrix. Rows before columns? riddle..