[R] Quick Question - MLE for Geometric Brownian Motion Process with Jumps

[Dieter Menne]

John-Paul Taylor <johnpaul.taylor <at> ryerson.ca> writes:

> 
> 
> I am tying to run a maxlik regression and keep getting the error,
> NA in the initial gradient
> 
> My Code is below:
> gbmploglik<-function(param){
> 	mu<-param[1]
> 	sigma<-param[2]
> 	lamda<-param[3]
> 	nu<-param[4]
> 	gama<-param[5]
> 	logLikVal<- - n*lamda - .5*n*log(2*pi) + sum(log(sum(for(j in
> 1:10)(cat((lamda^j/factorial(j))*(1/((sigma^2+j*gama^2)^.5)*exp( -
(combinedlrph1-mu-j*nu)^2/2*(sigma^2+j*gama^2))))))))
> 	logLikVal
> }
> rescbj<- maxLik(gbmploglik, grad = NULL, hess = NULL, start=c(1,1,1,1,1),
method = "Newton-Raphson")
> 
> I was wondering if there is something that I have to do with the grad= and
maybe put something other then NULL.
> The other issue is that there might be something wrong with the loglikelihood
function, because of the
> loop that I put in it.

I have not used that function, but the error message is rather clear in 
telling you that your start values are not good. Try to plot the function 
and the  gradient at that point. Sometime moving by a very small amount 
helps.

Dieter