r - How to code a multiplicative ARIMA (non-consecutive lags) -

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i'm working weekly data , based on form of typical seasonal multiplicative arima, want fit following process time series:

y_t = phi* y_t-1 + phi* y_t-52 + phi* phi* y_t-53 + e_t

i want obtain coefficients phi, phi, , residuals (e's).

i unaware of packages or functions , have been trying use arima() while shutting off ma , differencing components keep restricted ar. isn't capturing process above. in advance!


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