wait..the distribution of max(x1,...xn) and max(y1,...ym) also

送交者: mangolasi 于 2007-09-27, 15:23:29:

回答: 我说的不严谨. 我说得是max(x1,x2,...xn) while xi follow normal dist 由 HunHunSheng 于 2007-09-27, 14:52:59:

depends on n and m...

what's the population for europe+america?

Even China has a smaller std, but because of large population the distribution (cdf) F(max(x1...xn)<=z)=(G1(X<=z))^n maybe smaller than the cdf F(max(y1...ym)<=z)=(G2(Y<=z))^m--even if G1(X<=z)>G2(Y<=z) for some large z, i.e. the right tail of the distribution of European and Americans are longer, but the distribution of the best of a much larger chinese population would have longer right tail.

所有跟贴:

首先这是理论现实中没有真正的正态分布 - HunHunSheng (83 bytes) 2007-09-27, 16:59:26 (173394)
- The problem is, starting from longer right tail for the european+ - mangolasi (308 bytes) 2007-09-27, 17:27:10 (173407)
- The only assumption is iid here (not a weak one I agree). No normal - mangolasi (297 bytes) 2007-09-27, 17:21:59 (173406)
你们这上下在讨论啥呢，一会cdf,一会pdf的 - xj (10 bytes) 2007-09-27, 16:06:49 (173369)
- How to convert an cdf file to pdf file? I guess (无内容) - blackbox (0 bytes) 2007-09-27, 16:54:44 (173390)
correct, so we are worse than we thought! :) (无内容) - chouqilozi (0 bytes) 2007-09-27, 15:26:47 (173350)
- No. P(max(x_i)>z)=1-P(max(x_i)<z)=1-(G1(X<z))^n - 湘女 (53 bytes) 2007-09-27, 15:55:44 (173368)
  - He means for large, genius level z, G1(X<=z) is so large (means - mangolasi (869 bytes) 2007-09-27, 16:12:08 (173371)
    - 明白了，谢谢！结论是挺吓人的。但这应是教育的结果，而不是人种的差别。 (无内容) - 湘女 (0 bytes) 2007-09-27, 16:29:38 (173378)
      - 天才! 华人教授坐校巴想老半天也没看出个四五六你一眼就明白了,佩服 (无内容) - blackbox (0 bytes) 2007-09-27, 17:00:17 (173395)
- so you mean for some large, genius level z, G1(X<=z) is so large - mangolasi (125 bytes) 2007-09-27, 15:43:24 (173358)

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