The notation for a quarterly seasonal ARIMA model with one non-seasonal difference, one seasonal difference, and one non-seasonal MA term is $ARIMA (1, 1, 1)_{4}$ $ARIMA (0, 1, 1) \times (0, 1, 1) 12$ $ARIMA (0, 1, 1) \times (0, 1, 0)_{4}$ $ARIMA (0, 1, 1) \times (0, 1, 1)_{4}$

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The notation for a quarterly seasonal ARIMA model with one non-seasonal difference, one seasonal difference, and one non-seasonal MA term is

ARIMA (1, 1, 1)_{4}

ARIMA (0, 1, 1) \times (0, 1, 1) 12

ARIMA (0, 1, 1) \times (0, 1, 0)_{4}

ARIMA (0, 1, 1) \times (0, 1, 1)_{4}

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