sum of coefficients less than 1

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Can someone please modify the following code so that it has a constraint that the sum of ar1 and ar2 is less than one.
Thanks
clc;
clear;
m=2;
a0 = 0.1; a1 = 0.2; a2=0.15;
epsi=zeros(3000,1);
simsig=zeros(3000,1);
for i = 1:3000
if (i==1)
simsig(i) = a0/(1-a1-a2) ;
s=(simsig(i))^0.5;
epsi(i) = normrnd(0,1) * s;
elseif (i==2)
epsi(i)=epsi(1);
else
simsig(i) = a0+ a1*(epsi(i-1))^2+a2*(epsi(i-2))^2;
s=(simsig(i))^0.5;
epsi(i) = normrnd(0,1) * s;
end
end
yt1=epsi.^2;
ytlast=epsi(3000)^2;
ytlast2=epsi(2999)^2;
ytinitial=yt1(2001:3000);
yt = yt1(2003:3000);
ytlag1= yt1(2002:2999);
ytlag2= yt1(2001:2998);
a =ones(1000-m,1);
x = [a,ytlag1,ytlag2];
opts = optimset('lsqnonneg');
opts.LargeScale = 'off';
opts.Display = 'none';
coef = lsqnonneg(x,yt);
alpha0 =coef(1);
ar1=coef(2);
ar2= coef(3);

采纳的回答

Shashank Prasanna
Do you have the optimization toolbox? LSQNONNEG cannot handle constraints.
Also, please format your code when you post. It makes it easier to read code. You can select your code and use the '{}Code' button.
  9 个评论
Teja Muppirala
Teja Muppirala 2013-3-5
To make coeff(2) + coeff(3) < 1, you can call LSQLIN like this:
coeff = lsqlin(x,yt,[0 1 1],[1],[],[],[0;0;0],[1;1;1])
See the help for LSQLIN

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