This function defines the loss function used in computing the penalized local linear approximation of the test statistic in order to construct the bootstrap distribution of the test statistic.
lf.delta.beta1(
Delta.sub,
vnb,
phi,
Gn,
Omegan,
beta,
c,
r,
data,
par.space,
epsilon.n,
lambda.n
)
Loss function evaluation evaluated at the given Delta.
Subvector of Delta.
Bootstrapped stochastic process.
Moment selection functions.
First-order approximation matrix.
Correlation matrix of sample moment functions.
Coefficient vector.
Projection vector.
Value of projected coefficient vector.
Data frame.
Matrix containing the bounds on the parameter space.
Parameter used in constructing the feasible region as in Example 4.1 in Bei (2024). Not used in this function.
Weight of penalty term.
Bei, X. (2024). Local linearieation based subvector inference in moment inequality models. Journal of Econometrics. 238:105549-