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Refers to the AutoRegressive Integrated Moving Average model used in time series modeling both for data description and for forecasting. This model generalizes the ARMA model by including a term for differencing, which is useful for removing trends and handling some types of non-stationarity.

1 vote
0 answers
1k views

Solve For ACF/ACVF of An AR(3) Process

I am currently doing an online course on Time Series and this is a self-assessment question from the homework, I won't see the answer until I submit, so I would appreciate hints/leads. I have made m …
stucash's user avatar
  • 282
3 votes
Accepted

Testing intervention for a random walk using ARIMAX model

For reference, stats::arima is the underlying function called from TSA::arima to fit the ARMA error. P.S. … ' because TSA::arima force-feeds stats::arima with some fixed values when we have a random walk process, stats::arima doesn't like it as we illustrated above. …
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1 vote
1 answer
1k views

transfer function-noise modelling in R

However if I understand correctly, the arima/arimax function from R package TSA does not provide an argument to account for the ARIMA noise term. e.g. they provide xtransf and transfer to help formulate … the transfer function itself, but nothing for modeling the noise term which is normally taken to follow ARIMA. …
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1 vote
1 answer
1k views

acf and pacf suggests MA but auto.arima gave AR

, 1.2400 , 0.9300 , 1.1400, -0.6100, -0.4300 ,-0.4700 ,-0.3450), frequency = 7, start = c(23, 1), end = c(31, 4)) and I know this residual series has some seriel correlations and can be modeled by ARIMA … # s.e. 0.1301 0.1306 # sigma^2 estimated as 0.104: log likelihood=-17.65 # AIC=41.29 AICc=41.72 BIC=47.58 m2 <- auto.arima(err, allowmean=T) # output # ARIMA(0,2,2) # Coefficients: # …
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