[R] GARCH

[Spencer Graves]

	  I'll outline here how you can solve this kind of problem, using the 
first example in the 'garch' help page:

library(tseries)
      n <- 1100
      a <- c(0.1, 0.5, 0.2)  # ARCH(2) coefficients
      e <- rnorm(n)
      x <- double(n)
      x[1:2] <- rnorm(2, sd = sqrt(a[1]/(1.0-a[2]-a[3])))
      for(i in 3:n)  # Generate ARCH(2) process
      {
        x[i] <- e[i]*sqrt(a[1]+a[2]*x[i-1]^2+a[3]*x[i-2]^2)
      }
      x <- ts(x[101:1100])
      x.arch <- garch(x, order = c(0,2))  # Fit ARCH(2)
(sum.arch <- summary(x.arch))
<snip>
     Estimate  Std. Error  t value Pr(>|t|)
a0   0.09887     0.01013    9.764  < 2e-16 ***
a1   0.43104     0.05276    8.170 2.22e-16 ***
a2   0.31261     0.05844    5.350 8.82e-08 ***
<snip>

	  Then I tried 'str(sum.arch)'.  This told me it is a list with 6 
components, and the one I want is named 'coef'.  This led me to examine 
'sum.arch$coef', which includes the desired numbers.  Moreover, 
'class(sum.arch$coef)' told me this is a 'matrix'.  This information 
suggests that the following might be what you requested:

  sum.arch$coef[, "Pr(>|t|)"]
           a0           a1           a2
0.000000e+00 2.220446e-16 8.815239e-08

	  Hope this helps.
	  Spencer Graves

Jeff Newmiller wrote:
> Prof Brian Ripley wrote:
>> Why do you think
>>
>>> help.search("garch-methods", package="tseries")
>> finds accessor functions?  That is notation for S4 methods, and "garch" 
>> is an S3 class so there will be none.  Here there _is_ an accessor, 
>> coef(), and you can find that there is by
> 
> Probably because I used it, found a mention of various extraction functions
> including coef(), and could not find a way to access "Pr(>|t|)" using
> coef(). Nor have I had luck with
>   help.search("summary.garch", package="tseries")
> 
> Possibly also because I have not yet figured out the difference between
> S4 and S3 methods, but since the result of my  help.search call displayed S3
> functions I don't see how knowing this difference would have helped.
> 
>>> methods(class="garch")
>> [1] coef.garch*      fitted.garch*    logLik.garch*    plot.garch*
>> [5] predict.garch*   print.garch*     residuals.garch* summary.garch*
>>
>>    Non-visible functions are asterisked
>>
>> Note though that inherited methods might be relevant too (e.g. default 
>> methods) and indeed it seems that here the default method for coef would 
>> work just as well.
> 
> Given Arun Kumar Saha's question...
> 
>  > > Now I want to store the value of Pr(>|t|) for coefficient a0, a1,
>  > > and b1, and also values of these coefficients, so that I can use
>  > > them in future separately. I know that I can do it for coefficients
>  > > by using the command:
>  > > coef(garch1)["a0"] etc, but not for Pr(>|t|). Can anyone please
>  > > tell me how to do this?
> 
> ... I don't see how coef() helps because I have yet to figure out how
> to use coef() (or any other accessor) to find " Std. Error" of the
> coefficient, much less "Pr(>|t|)". summary.garch seems to have only a
> print method, with no accessors at all. Can you offer a solution?
>