First of all thank to all of you Sven, Riccardo and Ignacio

I could fix the problem.
Would it be possible to create a database with scripts so that people can
have access to fixed scripts which would be of great help for beginners.
Please find below the output of my simulation. It is not clear to me why I
get U = 0 for the first three observations (1-3). Below the script you'll
find my calculations done manually with different results. Attached the
Excel-file with my calculations.
Best regards 
Raul
_______________________________________
# Defines length of time-series
? nulldata 20
periodicity: 1, maxobs: 20
observations range: 1 to 20
? setobs 1 1 --time-series
Full data range: 1 - 20 (n = 20)

# build stationary AR(3) error process for u
? scalar rho1 = 0.5
Generated scalar rho1 = 0.5
? scalar rho2 = -0.3
Generated scalar rho2 = -0.3
? scalar rho3 = 0.2
Generated scalar rho3 = 0.2
? series u = 0
Generated series u (ID 2)
? series e = normal()
Generated series e (ID 3)
? u = rho1*u(-1) + rho2*u(-2) + rho3*u(-3) + e
Replaced series u (ID 2)
? print u e

u:
Full data range: 1 - 20 (n = 20)

 0.000000   0.000000   0.000000   0.736134   0.389876   0.0831032   1.27225

 0.296186   0.153867  -0.603212  -1.03987  -0.125745   1.05383   1.36702  
 1.38835   1.15469   0.0756820   0.396671  -0.373264  -0.802060  

e:
Full data range: 1 - 20 (n = 20)

-0.191291   1.79901   0.222606   0.736134   0.0218093   0.109005   1.20043  
-0.392982   0.370828  -0.845739  -0.751339   0.182452   0.925386   1.01036  
 1.04614   0.659854  -0.358562   0.427566  -0.779833  -0.511563  
_____________________________________________________________
My calculations
        U                            e
t-3     0       
t-2     0       
t-1     0       
0       -0.191291       -0.191291
t+1     1.7033645       1.79901


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Betreff: Gretl-users Digest, Vol 102, Issue 3

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Today's Topics:

   1. generate AR (Raul Gimeno)
   2. Re: generate AR (Sven Schreiber)
   3. Re: generate AR (Riccardo (Jack) Lucchetti)
   4. Re: generate AR (Ignacio Diaz-Emparanza)


----------------------------------------------------------------------

Message: 1
List-Post: gretl-users@gretlml.univpm.it
Date: Fri, 10 Jul 2015 09:46:51 +0200
From: "Raul Gimeno" <mrexito(a)vtxmail.ch>
To: <gretl-users(a)lists.wfu.edu>
Subject: [Gretl-users] generate AR
Message-ID: <003101d0bae4$95777c50$c06674f0$@vtxmail.ch>
Content-Type: text/plain; charset="us-ascii"

Hello

 

I would like to generate AR, MA and ARMA processes. Is there any function
available to do so?

Would it be possible to include in the GRETL guide a note on how to generate
simple time series? This could be of great help for beginners.

I've tried to generate an AR(3) with the following script which doesn't
work. Thank you for your help.

Raul

 

# seed 

set seed 89675430

# Generate an AR(3) process

 

scalar rho1 = 0.5

scalar rho2 = -0.3

scalar rho3 = 0.2

 

loop 1000

 

# build stationary AR(3) error process for u

    series u = 0

    series e = normal()

    u = rho1*u(-1) + rho2*u(-2) + rho3*u(-3) + e

endloop

 

 

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Message: 2
List-Post: gretl-users@gretlml.univpm.it
Date: Fri, 10 Jul 2015 14:59:27 +0200
From: Sven Schreiber <svetosch(a)gmx.net>
To: gretl-users(a)lists.wfu.edu
Subject: Re: [Gretl-users] generate AR
Message-ID: <559FC1AF.9050707(a)gmx.net>
Content-Type: text/plain; charset=windows-1252

Am 10.07.2015 um 09:46 schrieb Raul Gimeno:
> Hello
> 
>  
> 
> I would like to generate AR, MA and ARMA processes. Is there any 
> function available to do so?

There is 'varsimul' which you could use also univariate AR, but it's
probably not the best way for your problem. Apart from that, specifying the
data-generating process like you tried below is the right approach.

> 
> Would it be possible to include in the GRETL guide a note on how to 
> generate simple time series? This could be of great help for beginners.
> 
> I?ve tried to generate an AR(3) with the following script which 
> doesn?t work. Thank you for your help.

"doesn't work" is a typical but almost useless component of problem reports.
Please copy&paste the error message you're getting.


> 
> # build stationary AR(3) error process for u
> 
>     series u = 0
> 
>     series e = normal()
> 
>     u = rho1*u(-1) + rho2*u(-2) + rho3*u(-3) + e
> 

This already looks quite good. Perhaps you don't have a dataset in place?
Again, report your error message.

-sven



------------------------------

Message: 3
List-Post: gretl-users@gretlml.univpm.it
Date: Fri, 10 Jul 2015 15:09:33 +0200 (CEST)
From: "Riccardo (Jack) Lucchetti" <r.lucchetti(a)univpm.it>
To: Gretl list <gretl-users(a)lists.wfu.edu>
Subject: Re: [Gretl-users] generate AR
Message-ID: <alpine.DEB.2.20.1507101509140.17956(a)ec-4.econ.univpm.it>
Content-Type: text/plain; charset="iso-8859-15"; Format="flowed"

On Fri, 10 Jul 2015, Raul Gimeno wrote:

> Hello
>
>
>
> I would like to generate AR, MA and ARMA processes. Is there any 
> function available to do so?
>
> Would it be possible to include in the GRETL guide a note on how to 
> generate simple time series? This could be of great help for beginners.

Section 16.2

-------------------------------------------------------
   Riccardo (Jack) Lucchetti
   Dipartimento di Scienze Economiche e Sociali (DiSES)

   Universit? Politecnica delle Marche
   (formerly known as Universit? di Ancona)

   r.lucchetti(a)univpm.it
   http://www2.econ.univpm.it/servizi/hpp/lucchetti
-------------------------------------------------------

------------------------------

Message: 4
List-Post: gretl-users@gretlml.univpm.it
Date: Fri, 10 Jul 2015 15:53:00 +0200
From: Ignacio Diaz-Emparanza <ignacio.diaz-emparanza(a)ehu.eus>
To: gretl-users(a)lists.wfu.edu
Subject: Re: [Gretl-users] generate AR
Message-ID: <559FCE3C.8080100(a)ehu.eus>
Content-Type: text/plain; charset=windows-1252; format=flowed

El 10/07/15 a las 09:46, Raul Gimeno escribi?:
>
> Hello
>
> I would like to generate AR, MA and ARMA processes. Is there any 
> function available to do so?
>
> Would it be possible to include in the GRETL guide a note on how to 
> generate simple time series? This could be of great help for beginners.
>
> I?ve tried to generate an AR(3) with the following script which 
> doesn?t work. Thank you for your help.
>
> Raul
>

For simulated data you need to inform gretl the length of your time series,
with the first command

'nulldata 200'

For example this reserves space for series with 200 obs.
It may be useful also to inform that you plan to generate "time series" 
this may be done with the command 'setobs' in this way:

'setobs 1 1 --time-series'

the first number is the seasonal periodicity (1 if you are making simulated
data) the second one determines which is the first observation. The
parameter --time-series makes posiible to use some gretl features specific
for time series.

Your script with these two commands works here.

> # seed
>
> set seed 89675430
>
> # Generate an AR(3) process
>
> scalar rho1 = 0.5
>
> scalar rho2 = -0.3
>
> scalar rho3 = 0.2
>
> loop 1000
>
> # build stationary AR(3) error process for u
>
> series u = 0
>
>     series e = normal()
>
>     u = rho1*u(-1) + rho2*u(-2) + rho3*u(-3) + e
>
> endloop
>
>
>
> _______________________________________________
> Gretl-users mailing list
> Gretl-users(a)lists.wfu.edu
> http://lists.wfu.edu/mailman/listinfo/gretl-users


--
Ignacio D?az-Emparanza
Departamento de Econom?a Aplicada III (Econometr?a y Estad?stica)
Universidad del Pa?s Vasco - Euskalherriko Unibertsitatea, UPV/EHU
Tfno: (+34) 94 601 3732
http://www.ehu.eus/ea3



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