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Under an endogenous binary treatment with heterogeneous effects and multiple instruments, we propose a two-step procedure for identifying complier groups with identical local average treatment effects (LATE) despite relying on distinct…

Econometrics · Economics 2023-11-01 Nicolas Apfel , Helmut Farbmacher , Rebecca Groh , Martin Huber , Henrika Langen

Data depth has been applied as a nonparametric measurement for ranking multivariate samples. In this paper, we focus on homogeneity tests to assess whether two multivariate samples are from the same distribution. There are many data…

Statistics Theory · Mathematics 2023-06-09 Yiting Chen , Wei Lin , Xiaoping Shi

In hypothesis testing, the phenomenon of label noise, in which hypothesis labels are switched at random, contaminates the likelihood functions. In this paper, we develop a new method to determine the decision rule when we do not have…

Information Theory · Computer Science 2014-10-28 Dennis Wei , Kush R. Varshney

In this paper, we propose a simple method for testing identifying assumptions in parametric separable models, namely treatment exogeneity, instrument validity, and/or homoskedasticity. We show that the testable implications can be written…

Econometrics · Economics 2024-10-17 Leonard Goff , Désiré Kédagni , Huan Wu

We study the identification and estimation of statistical functionals of multivariate data missing non-monotonically and not-at-random, taking a semiparametric approach. Specifically, we assume that the missingness mechanism satisfies what…

Methodology · Statistics 2022-12-26 Daniel Malinsky , Ilya Shpitser , Eric J Tchetgen Tchetgen

We develop a nonparametric test for deciding whether volatility of an asset follows a standard semimartingale process, with paths of finite quadratic variation, or a rough process with paths of infinite quadratic variation. The test…

Statistics Theory · Mathematics 2024-07-16 Carsten H. Chong , Viktor Todorov

Experiments often yield non-identically distributed data for statistical analysis. Tests of hypothesis under such set-ups are generally performed using the likelihood ratio test, which is non-robust with respect to outliers and model…

Statistics Theory · Mathematics 2017-07-25 Abhik Ghosh , Ayanendranath Basu

This article proposes different tests for treatment effect heterogeneity when the outcome of interest, typically a duration variable, may be right-censored. The proposed tests study whether a policy 1) has zero distributional (average)…

Methodology · Statistics 2020-02-19 Pedro H. C. Sant'Anna

When we use the normal mixture model, the optimal number of the components describing the data should be determined. Testing homogeneity is good for this purpose; however, to construct its theory is challenging, since the test statistic…

Statistics Theory · Mathematics 2019-12-24 Natsuki Kariya , Sumio Watanabe

In clinical trials studying paired parts of a subject with binary outcomes, it is expected to collect measurements bilaterally. However, there are cases where subjects contribute measurements for only one part. By utilizing combined data,…

Applications · Statistics 2024-03-06 Shuyi Liang , Kai-Tai Fang , Xin-Wei Huang , Yijing Xin , Chang-Xing Ma

Instrumental variables have been widely used to estimate the causal effect of a treatment on an outcome. Existing confidence intervals for causal effects based on instrumental variables assume that all of the putative instrumental variables…

Methodology · Statistics 2016-07-14 Hyunseung Kang , T. Tony Cai , Dylan S. Small

Nonlinearity in many systems is heavily dependent on component variation and environmental factors such as temperature. This is often overcome by keeping signals close enough to the device's operating point that it appears approximately…

Signal Processing · Electrical Eng. & Systems 2022-05-18 Lachlan J. Gunn , Andrew Allison , Derek Abbott

We develop a method to perform model averaging in two-stage linear regression systems subject to endogeneity. Our method extends an existing Gibbs sampler for instrumental variables to incorporate a component of model uncertainty. Direct…

Methodology · Statistics 2012-03-20 Anna Karl , Alex Lenkoski

We introduce a new test statistic for testing the null hypothesis that the sampling distribution has an increasing hazard rate on a specified interval [0,a]. It is based on a comparison of the empirical distribution function with an…

Statistics Theory · Mathematics 2015-03-17 Piet Groeneboom , Geurt Jongbloed

Unobserved heterogeneous treatment effects have been emphasized in the recent policy evaluation literature (see e.g., Heckman and Vytlacil, 2005). This paper proposes a nonparametric test for unobserved heterogeneous treatment effects in a…

Econometrics · Economics 2021-08-17 Yu-Chin Hsu , Ta-Cheng Huang , Haiqing Xu

Instrumental variables (IVs) are widely used to estimate causal effects from non-randomized data. A canonical example is a randomized trial with noncompliance, in which the randomized treatment assignment serves as an IV for the…

Methodology · Statistics 2026-02-06 Rui Wang , Ying-Qi Zhao , Oliver Dukes , Bo Zhang

Time-to-event data with long-term survivors (L-TS), subjects who never experience the event, have been reported in multiple areas of oncology as therapies have improved. Conventional two-sample tests ignore L-TS, but alternatives have been…

Methodology · Statistics 2026-05-06 Yu Bi , Durbadal Ghosh , Subodh Selukar

With nonignorable nonresponse, an effective method to construct valid estimators of population parameters is to use a covariate vector called instrument that can be excluded from the nonresponse propensity but are still useful covariate…

Methodology · Statistics 2025-09-17 Ji Chen , Jun Shao

This paper extends the identification results in Nevo and Rosen (2012) to nonparametric models. We derive nonparametric bounds on the average treatment effect when an imperfect instrument is available. As in Nevo and Rosen (2012), we assume…

Econometrics · Economics 2021-10-01 Kyunghoon Ban , Désiré Kédagni

Background: Interpreting instrumental variable results often requires further assumptions in addition to the core assumptions of relevance, independence, and the exclusion restriction. Methods: We assess whether instrument-exposure additive…

Methodology · Statistics 2022-04-19 Fernando Pires Hartwig , Linbo Wang , George Davey Smith , Neil Martin Davies