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
f fI=Bt]t FQ0 ;%Z ans =
EqBTN07dZS W@zxGH$z> NaN
~Hd* Xl w87$p821 查看了一下帮助 help hygepdf
,ExY.'%1 sEKF HYGEPDF Hypergeometric probability density function.
rmC7!^/ |}8SjZcQW Y = HYGEPDF(X,M,K,N) returns the hypergeometric probability
pKLNBR| density function at X with integer parameters M, K, and N.
oV9{{ Note: The density function is zero unless X is an integer.
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47"$=G The size of Y is the common size of the input arguments. A scalar input
vqVwo\oEdU functions as a constant matrix of the same size as the other inputs.
;jQ^8S jUZ$vyT See also hygecdf, hygeinv, hygernd, hygestat, pdf.
B@ z ng2[ OaT]2o Reference page in Help browser
A|4
3W= doc hygepdf
(["V( $ T#:b 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:
uK#2vgT p Djt\R<f http://ccpublic-1.central.cranfield.ac.uk/2001DMSOMFRC/pr062320/Matlab/stats/hygepdf.m 3A =\Mb eA``fpr 直到发现这个例子后才清楚各个参数所代表的具体意义。
-2u)orWP A@Zqh<,Ud 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?
8df| 9E$ b?!S$S xz p = hygepdf(0:5,100,20,10)
n
_x+xVi% *)?'! p = 0.0951 0.2679 0.3182 0.2092 0.0841 0.0215
"&`>+Yw '6g-]rE[ 详细可参见:
Y]`o-dV http://www.physnet.uni-hamburg.de/physnet/matlab/help/toolbox/stats/hygepdf.html#4257 92C; a5s 6f
t6;*, 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
.!+7|us8l\ k}qCkm27 x = 0:5
f<oU"WM p = hygepdf(x,100,20,10);
0`v-pL0| plot(x,p,':k*')