Linked Questions

2 votes
1 answer
12k views

How do I write a mathematical equation for ARIMA (0,2,1) x (0,0,1) period 12 [duplicate]

I would appreciate if someone could help me write the mathematical equation for the seasonal ARIMA (0,2,1) x (0,0,1) period 12. I'm a little confused with how to go about this. I would prefer an ...
b2amen's user avatar
  • 147
2 votes
1 answer
3k views

How do I write a mathematical equation for seasonal ARIMA (0,0,1) x (2,1,2) period 12 [duplicate]

Can someone could help me write the mathematical/backshift equation for the seasonal ARIMA (0,0,1) x (2,1,2) with 12 periods? I'm confused with how to go about this. I would prefer an equation ...
Earthling Person's user avatar
-1 votes
1 answer
1k views

Mathematical equation of ARIMA(2,3,2) [duplicate]

Suppose we have ARIMA(2,3,2) in a study. How to write the final formula for this model? The parameters are: AR1 and AR2 for auto-regressive part, MA1 and MA2 for the moving average part. Most of ...
Bromideh's user avatar
0 votes
0 answers
249 views

How to express fitted ARIMA model output by a mathematical equation? [duplicate]

I have fitted an ARIMA model to forecast GDP using the auto.arima function in R: ...
José Vallejo's user avatar
1 vote
0 answers
164 views

How do I write the mathematical equation for ARIMA(0,0,5)(1,0,1) period 12? [duplicate]

I would appreciate if someone could help me write the mathematical equation for the seasonal ARIMA (0,0,5) x (1,0,1) period 12. I'm a little confused with how to go about this.
tariq mohamed's user avatar
0 votes
0 answers
100 views

ARIMA Model (2,1,0) [duplicate]

Could someone show me how to express this model mathematically? I'm not sure I quite understand how to write it out because I feel like I'm seeing a lot of different notations in different books.
tryingtolearn's user avatar
0 votes
0 answers
39 views

What does this mean? Can you explain it to me in laymans term? [duplicate]

How to interpret this? What does the ARIMA(0,0,0)(0,1,0)[12] means in laymans term?
Sm cA's user avatar
  • 1
0 votes
0 answers
23 views

How do I write a mathematical equation for ARIMA (1,1,1) x (1,1,0) period 12 [duplicate]

I would appreciate it if someone could assist me in writing the mathematical equation for the seasonal ARIMA (1,1,1) x (1,1,0) period 12. I'm a little confused with how to go about this. I would ...
Numan's user avatar
  • 1
1 vote
0 answers
17 views

Read auto_arima summary from pmdarima package correctly [duplicate]

I run auto_arima model with seasonality from pmdarima python package. The output summary is the following: Shortly, it says ...
Bruh's user avatar
  • 27
6 votes
1 answer
11k views

How To Write Seasonal ARIMA model mathematically

I'm trying to write a seasonal ARIMA model ARIMA(1,0,3)(1,2,0) period 5 mathematically but I don't seem to be able to follow what this resource is saying otexts arima The example they use is ARIMA(1,...
robobobobo's user avatar
3 votes
1 answer
8k views

How to interpret auto.arima() output from R?

auto.arima(ldeaths) Here is the output I got from R, but I am not sure how to read ARIMA(1,0,0)(2,0,0)[12]. What does it mean? How to put ...
lusicat's user avatar
  • 741
1 vote
1 answer
15k views

What is the equation for ARIMA (1,0,1)?

I know in terms of $y$, the general forecasting equation is: $$ \hat{y}_t = \mu + \varphi_1 y_{t-1} + \dots + \varphi_p y_{t-p} - \theta_1e_{t-1} - \dots - \theta_qe_{t-q}. $$ I also know that ARIMA(1,...
Kam's user avatar
  • 13
1 vote
1 answer
2k views

What-if analysis using a fitted regression with ARMA errors

Using linear regression as an equation for prediction is straightforward with, $$ Y_i = \beta_0 + \beta_1 X_i. $$ Once the betas are estimated I can insert different values of $X$ to use as a what-...
Pierre L's user avatar
  • 1,008
1 vote
1 answer
2k views

How to interpret output from forecast package

The forecast package has the function auto.arima and forecast to model time-series. ...
Pierre L's user avatar
  • 1,008
1 vote
0 answers
573 views

How to write the equation for ARIMA(0,0,1)(1,0,0) with exogenous regressors?

How I should write the equation for this ARIMA(0,0,1)(1,0,0) based on this SPSS parameter output? What if it is an ARIMA (0,0,0) or ARIMA (1,0,0) with the same variables? The independent variables ...
Petra's user avatar
  • 11

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