arch_rnd
Simulate an ARCH sequence of length t with AR coefficients b and CH coefficients a.
Calling Sequence
arch_rnd (a, b, t)
Parameters
a:
CH coefficients
b:
AR coefficients
t:
Length of ARCH sequence
Description
It Simulates an ARCH sequence of length t with AR coefficients b and CH coefficients a.
The result y(t) follows the model
\begin{eqnarray}
y(t) = b(1) + b(2) * y(t-1) + … + b(lb) * y(t-lb+1) + e(t)
\end{eqnarray}
where e(t), given y up to time t-1, is N(0, h(t)), with
\begin{eqnarray}
h(t) = a(1) + a(2) * e(t-1)^2 + … + a(la) * e(t-la+1)^2
\end{eqnarray}
Examples