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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 >|22%YVX c31k%/. ans = &}G2;O}3 K7H`Yt NaN gIfl}Jat ]ozZW: 查看了一下帮助 help hygepdf Gn_rf" 'X$2gD3c9 HYGEPDF Hypergeometric probability density function. <Prz>qL$ m:,S1V_jl Y = HYGEPDF(X,M,K,N) returns the hypergeometric probability 5g3D}F>OJ density function at X with integer parameters M, K, and N. !!4` #Z0+# Note: The density function is zero unless X is an integer. b xT| -W5ml
@ The size of Y is the common size of the input arguments. A scalar input 4iiW{rh4 functions as a constant matrix of the same size as the other inputs. ir%?J&C+t ?UlAwxn See also hygecdf, hygeinv, hygernd, hygestat, pdf. [80L|?, * ny:4L{) Reference page in Help browser O%.c%)4Xo doc hygepdf I8C(z1(N '
?3e 1 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: IO x9". &xG>"sJ http://ccpublic-1.central.cranfield.ac.uk/2001DMSOMFRC/pr062320/Matlab/stats/hygepdf.m V~>
x\ t`6R)' 直到发现这个例子后才清楚各个参数所代表的具体意义。 !z7j.u`Y u"*@k^}( 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? ep-~;? al9L+ruR p = hygepdf(0:5,100,20,10) $s*\yam?| %4/>7 aB]Y p = 0.0951 0.2679 0.3182 0.2092 0.0841 0.0215 E{m\LUd^
: [nO\Q3c|@$ 详细可参见: *-gd k9 http://www.physnet.uni-hamburg.de/physnet/matlab/help/toolbox/stats/hygepdf.html#4257 4PwjG;!K zCZ]` 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 QN!$4 1A?{ $d ]3ek/ x = 0:5 lC8DhRd0_ p = hygepdf(x,100,20,10); zoUM<6q plot(x,p,':k*')
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