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<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart:
Digits:=30:
assume(sigma2&gt;0,theta&gt;0):
with(LinearAlgebra):
N:=3:
x:=[seq((-1+2*k/N),k=0..N)]:
dim:=nops(x);
y:=[seq((exp(x[i])), i=1..dim)]:
print(x);
print(y);
plot([seq([x[i], y[i]], i=1..dim)]);
C:=sigma2*exp(-abs(s-t)/theta):
Sigma:=Matrix(dim,shape=symmetric):
for i from 1 to dim do
  for j from 1 to i do
    Sigma[i,j]:=subs(s=x[i],t=x[j],C);
  end do:
end do:
print(Sigma);
mu:=beta[1]:
z:=Matrix(dim,1):
for i from 1 to dim do
  z[i]:=y[i]-subs(t=x[i],mu);
end do:
loglikelihood:=-(Transpose(z).MatrixInverse(Sigma).z)[1,1]/2-1/2*log((2*Pi)^dim*Determinant(Sigma)):
params:=beta[1],sigma2,theta:
#params:=theta,sigma2:
eqns:=seq(diff(loglikelihood,params[i]),i=1..nops([params])):
sol_beta_1:=simplify(solve(eqns[1],beta[1]));
print(&quot;=========================================================================================&quot;);
sol_sigma2:=simplify(solve(subs(beta[1]=sol_beta_1,eqns[2]),sigma2));
print(&quot;=========================================================================================&quot;);
eq_theta_reduced:=simplify(subs(beta[1]=sol_beta_1,sigma2=sol_sigma2,eqns[3])):
plot(eq_theta_reduced,theta=1/100..10,numpoints=1000);
theta_star:=fsolve(eq_theta_reduced,theta=1/100..10);
sigma2_star:=evalf(subs(theta=theta_star,sol_sigma2));
beta_star:=evalf(subs(theta=theta_star,sol_beta_1));
log_likelihood_star:=evalf(subs(beta[1]=beta_star,sigma2=sigma2_star,theta=theta_star,loglikelihood));
print(&quot;=========================================================================================&quot;);
loglikelihood_reduced:=factor(subs(beta[1]=sol_beta_1,sigma2=sol_sigma2,loglikelihood)):
plot(loglikelihood_reduced,theta=1/100..10,numpoints=1000);
#sol:=fsolve({eqns},{params}):</Text-field>
</Input>
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<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUkobWZlbmNlZEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXJvd0dGJDYpLUYsNiQtSSNtb0dGJDYtUSomdW1pbnVzMDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjkvJSlzdHJldGNoeUdGOS8lKnN5bW1ldHJpY0dGOS8lKGxhcmdlb3BHRjkvJS5tb3ZhYmxlbGltaXRzR0Y5LyUnYWNjZW50R0Y5LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGSC1JI21uR0YkNiRRIjFGJ0Y0LUYxNi1RIixGJ0Y0RjcvRjtRJXRydWVGJ0Y8Rj5GQEZCRkQvRkdRJjAuMGVtRicvRkpRLDAuMzMzMzMzM2VtRictRiw2JEYwLUkmbWZyYWNHRiQ2KEZLLUZMNiRRIjNGJ0Y0LyUubGluZXRoaWNrbmVzc0dGTi8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zeby8lKWJldmVsbGVkR0Y5Rk9GWkZPRktGNC8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJw==</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
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</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciNWVEKGVqPVgpb1c9</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
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<Output><Text-field style="HyperlinkWarning" layout="HyperlinkWarning"><Hyperlink linktarget="http://www.maplesoft.com/support/help/errors/view.aspx?path=Warning,%20solve%20may%20be%20ignoring%20assumptions%20on%20the%20input%20variables." hyperlink="true"><Font style="HyperlinkWarning">Warning, solve may be ignoring assumptions on the input variables.</Font></Hyperlink></Text-field>
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</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbXNHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2I1FkcD09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09Ric=">UWRwPT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT02Ig==</Equation></Text-field>
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<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">JCI/ckViKClwITQmUkxeJ0cuRVEiISNI</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">JCE/ZFooKWVBTk13ImVtOlQ5LSYhI0g=</Equation></Text-field>
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<Output><Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400.0" type="two-dimensional" width="400.0" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">[encoded data, 41024 characters]</Plot></Text-field>
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<Group hide-input="false" hide-output="false" labelreference="L7" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot(loglikelihood_reduced,theta=1/100..10,numpoints=1000);
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