> Hello I need help, I want to calculate variance of functional. Let v1=var(x) > My aim is to calculate a function of x depending parameter "a":
> var(f(x,a)) where "a" is the parameter.
> To approximate this variance I used delta method. However in simulation results for some values of "a" the approximation didn't work well possibly heavy nonlinearity of g.
> I dont want to use resampling mathods(like bootstrap or jacknife). Is there another ways to approximate the variance. Is higher order approximation possible? I searched google but I could not find a sufficient source. If you help me about this object, I will be very glad.
You might be able to expand the expression, but you will need more than the variance to carry out the calculations.
One way to see if non-linearity is a problem is to check the means in the simulation. This checks for quadratic terms, but the means behaving is not a guarantee. Another possible source of the observed problem is the pseudo-random numbers being used; pseudo-random numbers are NOT random, and there are ways around that problem by incorporating physical random numbers.
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