function res = arch_rnd (a, b, t) //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 //This is an Octave function. //It Simulates an ARCH sequence of length t with AR coefficients b and CH coefficients a. //The result y(t) follows the model // //y(t) = b(1) + b(2) * y(t-1) + … + b(lb) * y(t-lb+1) + e(t), //where e(t), given y up to time t-1, is N(0, h(t)), with // //h(t) = a(1) + a(2) * e(t-1)^2 + … + a(la) * e(t-la+1)^2 //Examples //a = [1 2 3 4 5]; //b = [7 8 9 10]; //arch_rnd (a, b, t) //ans = // // 6.1037e+00 // 5.7294e+01 // 5.7390e+02 // 6.3063e+03 // 6.8695e+04 funcprot(0); lhs = argn(1) rhs = argn(2) if (rhs < 3 | rhs > 3) error("Wrong number of input arguments.") end select(rhs) case 3 then res = callOctave("arch_rnd",a, b, t) end endfunction