Econometrics

This set of methods is concerned with inference about an SMM.MAlgoBGP
This is mostly standard GMM technology

SMM.FD_gradient — Method

FD_gradient(m::MProb,p::Dict;step_perc=0.005,diff_method=:forward)

Get the gradient of the moment function wrt to some parameter vector via finite difference approximation. The output is a (k,n) matrix, where $k$ is the number of m.params_to_sample and where $m$ is the number of moments.

step_perc: step size in percent of parameter
diff_method: :forward or :central differencing
use_range: compute the step as a percentage of the parameter range (true), or not

The default step size is 1% of the parameter range.

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SMM.getSigma — Method

getSigma(m::MProb,p::Union{Dict,OrderedDict},reps::Int)

Computes var-cov matrix of simulated data. This requires to unseed the random shock sequences in the objective function (to generate randomly different moments in each run). Argument reps controls how many samples of different moment functions should be taken.

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SMM.get_stdErrors — Method

get_stdErrors(m::MProb,p::Union{Dict,OrderedDict};reps=300)

Computes standard errors according to standard sandwich formula:

\[S = (J W J')^{-1} (J W \Sigma W J') (J W J')^{-1}\]

where

$\Sigma$ is the data var-cov matrix generated by drawing H samples of simulated data using p. each draw has a different shock sequence here. this is done in function getSigma.
$J$ is the gradient of the objective function obtained with FD_gradient
$W$ is the weighting matrix.

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