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13 results for Z-estimation

FQE with deep neural networks achieves asymptotic normality and finite-sample bounds.

problem Theoretical understanding of FQE with general differentiable function approximators.
method Z-estimation theory applied to FQE with deep neural networks.
result FQE estimation error is asymptotically normal with explicit variance.

We consider two stage estimation with a non-parametric first stage and a generalized method of moments second stage, in a simpler setting than (Chernozhukov et al. 2016). We give an alternative proof of the theorem given in (Chernozhukov et al. 2016) that orthogonal second stage moments, sample splitting and n1/4n^{1/4}-…

2017-04-12abs ↗pdf ↗

We introduce a novel regression framework which simultaneously models the quantile and the Expected Shortfall (ES) of a response variable given a set of covariates. This regression is based on a strictly consistent loss function for the pair quantile and ES, which allows for M- and Z-estimation of the joint regression …

2017-04-07abs ↗pdf ↗

New method improves statistical inference using machine learning-imputed data.

problem Improving statistical inference with imputed data from machine learning.
method Two-phase sampling approach for Z-estimation with ML-imputed outcomes.
result Guaranteed efficiency matching or exceeding classical inference, regardless of prediction quality.

Improved concentration inequalities for sub-Weibull variables enhance statistical and machine learning applications.

problem Improving concentration inequalities for sub-Weibull random variables.
method Developed new concentration inequalities for sums of independent sub-Weibull random variables, including a new sub-Weibull parameter.
result New concentration inequalities with sharper constants and a mixture of sub-Gaussian and sub-Weibull tails.

Decomposes spillover effects under misspecified exposure mappings.

problem Modeling outcomes as functions of own treatment and a misspecified exposure mapping of others' treatments.
method Pseudo-true estimands and local-global extension for structured misspecification.
result Sharp asymptotic decomposition into direct, local, and global components.

Develops methods for estimating and providing confidence bands in sparse high-dimensional additive models.

problem Estimating and providing reliable confidence bands for nonparametric components in high-dimensional additive models.
method Integrates sieve estimation into a high-dimensional Z-estimation framework, employing a multiplier bootstrap procedure.
result Constructs uniformly valid confidence bands for the target component f1f_1 in sparse high-dimensional additive models.

We consider non-parametric estimation and inference of conditional moment models in high dimensions. We show that even when the dimension DD of the conditioning variable is larger than the sample size nn, estimation and inference is feasible as long as the distribution of the conditioning variable has small intrinsic…

2019-01-11abs ↗pdf ↗