The tests on the (squared) standardized residuals must be adjusted for the degrees of freedom: df (which must be >no.lags used in test) which is model dependent. For a GARCH(1,1) model this is equal to 2. For Weighted Ljung-Box Test and lag=1 the package sets the df=0 (perhaps badly), otherwise:

1. For Weighted Ljung-Box : lags = max(2, 2 * df + df - 1) and max(5, 4 * df + df - 1)

2. For Weighted ARCH LM: lags = df+c(1,3,5)

You are of course free to choose any other lags and run the tests separately using the WeightedPortTest package.

Regards,

Alexios

On 6/4/18 2:41 PM, Andreas Bregiannis wrote:
Dear all,


I implemented some AR-t-EGARCH models using the Rugarch package and in the 
output I also received the results of the two Ljung-Box tests and the ARCH LM 
test. In the Ljung-Box tests, the chosen lags for testing is Lag[1], 
Lag[2*(p+q)+(p+q)-1],  Lag[4*(p+q)+(p+q)-1] while for the ARCH LM I think that 
the chosen lags are Lag[p+q+1], Lag[p+q+3] and Lag[p+q+5] . For those of the 
ARCH LM test I am not sure that these are the chosen lags because they are not 
mentioned analytically.

My question is why these specific formulas for the lags are chosen?

I understand that we want to test for the first lag and for further lags. But 
could you please tell me why e.g. the 4*(p+q)+(p+q)-1 lag or the p+q+5 lag are 
chosen? So, is there any specific explanation for these choices?

Thank you in advance.

Kind regards,
Andreas


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