matlab舍选法产生随机数,根据任意概率密度函数产生随机数
我的已知概率密度函数为双峰高斯分布,由博客http://blog.renren.com/blog/20398/860904791给出了matlab程序。不过我将其函数增加了一个参数——能够修改长度的参数N.
文献(1997_蒋仁言_一种可有双峰形状的概率密度函数)给出的双峰概率密度函数的表达式非常麻烦,也不够直观。修改之后的matlab程序如下:
function
p=twomodegauss(m1,sig1,m2,sig2,A1,A2,k,N)
%TWOMODEGAUSS Generates a bimodal
Gaussian function.
%
p=TWOMODEGAUSS(M1,SIG1,M2,SIG2,A1,A2,K) generates a
bimodal,
% Gaussian-like
function in the interval [0,1]. P is a
N-element
% vector normalized so
that SUM(P) equals 1.The mean and standard
% deviation of modes
are (M1,SIG1) and (M2,SIG2),respectively.
% A1 and A2 are the
amplitude values of two modes.Since the
% output is
normalized,only the relative values of A1 and A2
are
% important.K is an
offset value that raises the "floor" of the
% function.A good set
of value to try is M1=0.15,SIG1=0.05,
%
M2=0.75,SIG2=0.05,A1=1,A2=0.07,and K=0.002.
% modified by WANG QIAO
,20150212
c1=A1*(1/((2*pi)^0.5)*sig1);
k1=2*(sig1^2);
c2=A2*(1/((2*pi)^0.5)*sig2);
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