呼叫昏少尉,设N个0-1之间的随机数之和S,(S - 0。5N>0.5)的概率是多少?
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新语丝读书论坛
送交者: JFF 于 2008-12-15, 10:00:22:
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answer for the first 10, compared with central limit theorem
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008
(245 bytes)
2008-12-15, 16:49:49
(284327)
THX! (无内容)
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JFF
(0 bytes)
2008-12-15, 17:21:36
(284339)
假设这些随机数是互相独立的
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testtest
(118 bytes)
2008-12-15, 13:24:31
(284275)
你起码应该先把答案猜对了再试图证明. (无内容)
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008
(0 bytes)
2008-12-15, 14:56:15
(284294)
“那么S在[0, n]间均匀分布”不对吧?
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插一腿
(206 bytes)
2008-12-15, 14:19:23
(284282)
not very easy actually
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testtest
(302 bytes)
2008-12-15, 17:16:01
(284338)
天太冷,冻得老大忘掉中心极限定理了。 (无内容)
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网警
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2008-12-15, 16:06:57
(284317)
you are right, i missed the point
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testtest
(14 bytes)
2008-12-15, 15:50:06
(284312)
两个方形分布的卷积是一个三角分布。
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Amsel
(159 bytes)
2008-12-15, 14:54:15
(284293)
这句话刚才没看仔细。i agree with u:
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JFF
(100 bytes)
2008-12-15, 14:31:56
(284286)
fyi
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Amsel
(145 bytes)
2008-12-15, 14:58:27
(284295)
细节就是卷积。 (无内容)
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Amsel
(0 bytes)
2008-12-15, 14:30:34
(284285)
卷积是什么意思。对不起,俺在老美这里学到数学。 (无内容)
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网警
(0 bytes)
2008-12-15, 16:08:00
(284318)
懒
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Amsel
(11 bytes)
2008-12-15, 16:19:48
(284320)
还是不懂。俺微积分基础不好。能给个例子么?卷积听起来很酷! (无内容)
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网警
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2008-12-15, 16:24:26
(284321)
维基里面有很多例子 (无内容)
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Amsel
(0 bytes)
2008-12-15, 16:34:53
(284324)
THX! (无内容)
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JFF
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2008-12-15, 13:56:04
(284277)
N=1:p=0; N=2:p=1/8; N=3:p=? Can mathematica do the calculation? (无内容)
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chouqilozi
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2008-12-15, 10:48:47
(284242)
according to testtest, N=2:p=1/4. what are u going to say? (无内容)
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JFF
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2008-12-15, 13:59:50
(284278)
I have a problem with S being uniform in [0,N]. (无内容)
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chouqilozi
(0 bytes)
2008-12-15, 14:29:21
(284284)
that is wrong. i overlooked it (无内容)
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JFF
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2008-12-15, 14:33:13
(284288)
给两点 mathematica只能做线性外推,这样很快就把概率推得大于1了。 (无内容)
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JFF
(0 bytes)
2008-12-15, 11:01:38
(284245)
I mean use methematica do the N-dimension volume calculation. (无内容)
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chouqilozi
(0 bytes)
2008-12-15, 11:08:28
(284249)
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