Hello everybody (although this is specially directed to Jack and Allin)
I was playing with the ARMA dialog box for seasonal models, and I found and
small conflict with the names of the coeffients that gretl assigns in the
output. If I estimate an AR(1)xAR(1)s : (in Latex)
(1-\phi_1L)(1-\Phi_1L^s)Y_t=\epsilon_t
with, for example, quarterly data, the model output reports the coefficients
with names: varname(-1) and varname(-4) which is slightly confusing since the
coeffients of the above multiplicative model are not directly associated to
an specific lag of the dependent variable. Furthermore, if I estimate an
AR(4)xAR(1)s, gretl gives an error, since following the rule, it has to
assign the same name to the fourth AR(4) coefficient and the unique AR(1)s
one. (I obtain: "memory fault error"). Exactly the same occurs with the MA
part.
So I suggest to change the name of the coeffients in the model output:
as the literature is quite standard referring to these coefficients as \phi
and \theta, we could use phi_1, phi_2 etc for the regular AR part, and
sphi_1, sphi_2 etc (or Phi_1, Phi_2, ... with less characters) for the
seasonal part; theta_1, theta_2, ... for the regular MA and stheta_1,
stheta_2 ... for the seasonal MA.
This change is not needed for a non-seasonal model, but could be adopted for
maintaining homogeneity if you want.
--
Ignacio Díaz-Emparanza
Dpto. de Economía Aplicada III (Econometría y Estadística)
UPV-EHU