Seasonal ARIMA(p,d,q)(P,D,Q)s
Seasonal ARIMA(p,d,q)(P,D,Q,)s model:
$$(1-\phi_{1}B-...-\phi_{p}B^p)(1- \Phi_{1} B^s-... -\Phi_{P} B^{Ps})(1-B^d)(1-B^{Ds})Y_{t} = c + (1-\theta_{1}B - ... - \theta_{q}B^q)(1- \Theta B_{1}^s - ... - \Theta_Q B^{Qs} )e_{t}$$
Residuals test statistics, residuals are WN if p-value >0.05