Inference on directionally differentiable functions

Z Fang, A Santos - The Review of Economic Studies, 2019 - academic.oup.com
This article studies an asymptotic framework for conducting inference on parameters of the
form, where is a known directionally differentiable function and is estimated by. In these …

The numerical delta method

H Hong, J Li - Journal of Econometrics, 2018 - Elsevier
This paper provides a numerical derivative based Delta method that complements the recent
work by Fang and Santos (2014) and also generalizes a previous insight by Song (2014) …

Inference on directionally differentiable functions

Z Fang, A Santos - arXiv preprint arXiv:1404.3763, 2014 - arxiv.org
This paper studies an asymptotic framework for conducting inference on parameters of the
form $\phi (\theta_0) $, where $\phi $ is a known directionally differentiable function and …

[PDF][PDF] Statistical inference for treatment assignment policies

Y Rai - Unpublished Manuscript, 2018 - econ.cuhk.edu.hk
In this paper, I study the statistical inference problem for treatment assignment policies. In
typical applications, individuals with different characteristics are expected to differ in their …

Inference on functionals under first order degeneracy

Q Chen, Z Fang - Journal of Econometrics, 2019 - Elsevier
This paper presents a unified framework for inference on parameters of the form ϕ (θ 0),
where θ 0 is unknown but can be estimated by θ ˆ n, and ϕ is known with null first order …

[PDF][PDF] Optimal plug-in estimators of directionally differentiable functionals

Z Fang - Unpublished Manuscript, 2014 - economics.sas.upenn.edu
This paper studies optimal estimation of parameters taking the form φ (θ0), where θ0 is
unknown but can be regularly estimated and φ is a known directionally differentiable …

Generalized van Trees inequality: Local minimax bounds for non-smooth functionals and irregular statistical models

K Takatsu, AK Kuchibhotla - arXiv preprint arXiv:2405.06437, 2024 - arxiv.org
In a decision-theoretic framework, minimax lower bound provides the worst-case
performance of estimators relative to a given class of statistical models. For parametric and …

Locally Asymptotically Minimax Statistical Treatment Rules Under Partial Identification

D Kido - arXiv preprint arXiv:2311.08958, 2023 - arxiv.org
Policymakers often desire a statistical treatment rule (STR) that determines a treatment
assignment rule deployed in a future population from available data. With the true …

Asymptotically efficient estimation of weighted average derivatives with an interval censored variable

H Kaido - Econometric Theory, 2017 - cambridge.org
This paper studies the identification and estimation of weighted average derivatives of
conditional location functionals including conditional mean and conditional quantiles in …

Constrained estimation using penalization and MCMC

AR Gallant, H Hong, MP Leung, J Li - Journal of Econometrics, 2022 - Elsevier
We study inference for parameters defined by either classical extremum estimators or
Laplace-type estimators subject to general nonlinear constraints on the parameters. We …