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
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D),hSqJ" * \%b1 NaN
:[?65q{ i9v|*ZM" 查看了一下帮助 help hygepdf
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+ HYGEPDF Hypergeometric probability density function.
36\_Y?zx% sDP8! Y = HYGEPDF(X,M,K,N) returns the hypergeometric probability
XU6SYC"t%~ density function at X with integer parameters M, K, and N.
8]&\FA 8 Note: The density function is zero unless X is an integer.
(\H^KEy 9F2MCqvcm The size of Y is the common size of the input arguments. A scalar input
]:svR@E functions as a constant matrix of the same size as the other inputs.
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pDa See also hygecdf, hygeinv, hygernd, hygestat, pdf.
R/jHH{T3 q" @%W K Reference page in Help browser
X.[8L^ldh doc hygepdf
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f %,f(jQfg_ 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:
aPm2\Sq$ PZk"!I<oN http://ccpublic-1.central.cranfield.ac.uk/2001DMSOMFRC/pr062320/Matlab/stats/hygepdf.m
J7p?9 csj4?]gI 直到发现这个例子后才清楚各个参数所代表的具体意义。
:|\)=4 ][B>`gC- 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?
a\tv,Lx yeIcQ% p = hygepdf(0:5,100,20,10)
="P&!lu $Go)Zs-bL? p = 0.0951 0.2679 0.3182 0.2092 0.0841 0.0215
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详细可参见:
&VT O9d http://www.physnet.uni-hamburg.de/physnet/matlab/help/toolbox/stats/hygepdf.html#4257 #Q$+ AdY| =`.OKUAn 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
A>%mJ3M ?u~?:a@K x = 0:5
cBQ+`DXn5c p = hygepdf(x,100,20,10);
MS;^@>|wj plot(x,p,':k*')