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2008-10-27 15:59 |
Matlab中超几何分布作图介绍
在用Matlab绘制各种常用概率分布的密度函数时，都比较简单，唯独超几何分布试了几次都不成功，输出结果总是 iX9[Q0g=oQ
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查看了一下帮助 help hygepdf + 'YSpJ
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HYGEPDF Hypergeometric probability density function. ,:Rq
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Y = HYGEPDF(X,M,K,N) returns the hypergeometric probability O }\"$n>
density function at X with integer parameters M, K, and N. Z:o'
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Note: The density function is zero unless X is an integer. %]= 'Uv^x
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The size of Y is the common size of the input arguments. A scalar input +XaO?F[c
functions as a constant matrix of the same size as the other inputs. UdM5R
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See also hygecdf, hygeinv, hygernd, hygestat, pdf. q}76aa0e
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Reference page in Help browser "
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doc hygepdf oT5rX
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超几何分布参数较多，这里关于三个参数的指代不详。又在互联网上查了相关资料，包括该函数的定义式： y [7xK}`_
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http://ccpublic-1.central.cranfield.ac.uk/2001DMSOMFRC/pr062320/Matlab/stats/hygepdf.m yKk,);
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直到发现这个例子后才清楚各个参数所代表的具体意义。 URzE+8m^
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Suppose you have a lot of 100 floppy disks and you know that 20 of them are defective. What is the probability of drawing 0 through 5 defective floppy disks if you select 10 at random? 9[]"%6
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p = hygepdf(0:5,100,20,10) # }]il0d
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p = 0.0951 0.2679 0.3182 0.2092 0.0841 0.0215 Zo63 8*32
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详细可参见： KL_}:O68
http://www.physnet.uni-hamburg.de/physnet/matlab/help/toolbox/stats/hygepdf.html#4257 8@C|exAD`
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果然与一般对超几何分布公式字母惯常表示方式有所不同。尝试将上述分布作图如下 f`";Q/rG
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x = 0:5 kGTc~p(
p = hygepdf(x,100,20,10); x jUH<LFxy
plot(x,p,':k*')
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