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In extreme value analysis, the extreme value index plays a vital role as it determines the tail heaviness of the underlying distribution and is the primary parameter required for the estimation of other extreme events. In this paper, we…

Computation · Statistics 2017-09-27 Richard Minkah , Tertius de Wet , Ezekiel Nii Noi Nortey

We investigate the estimation of the extreme value index when the data are subject to random censorship. We prove, in a unified way, detailed asymptotic normality results for various estimators of the extreme value index and use these…

Statistics Theory · Mathematics 2008-12-18 John H. J. Einmahl , Amélie Fils-Villetard , Armelle Guillou

Estimators that weight observed outcomes to form effect estimates have a long tradition. Their outcome weights are widely used in established procedures, such as checking covariate balance, characterizing target populations, or detecting…

Econometrics · Economics 2024-12-13 Michael C. Knaus

Indirect experiments provide a valuable framework for estimating treatment effects in situations where conducting randomized control trials (RCTs) is impractical or unethical. Unlike RCTs, indirect experiments estimate treatment effects by…

Machine Learning · Computer Science 2023-12-06 Yash Chandak , Shiv Shankar , Vasilis Syrgkanis , Emma Brunskill

The extremal index $\theta$, a number in the interval $[0,1]$, is known to be a measure of primal importance for analyzing the extremes of a stationary time series. New rank-based estimators for $\theta$ are proposed which rely on the…

Statistics Theory · Mathematics 2020-06-30 Axel Bücher , Tobias Jennessen

This paper considers the problem of design-based inference for the average treatment effect in finely stratified experiments. Here, by "design-based'' we mean that the only source of uncertainty stems from the randomness in treatment…

Econometrics · Economics 2025-05-08 Yuehao Bai , Xun Huang , Joseph P. Romano , Azeem M. Shaikh , Max Tabord-Meehan

In panel experiments, we randomly assign units to different interventions, measuring their outcomes, and repeating the procedure in several periods. Using the potential outcomes framework, we define finite population dynamic causal effects…

Methodology · Statistics 2021-05-28 Iavor Bojinov , Ashesh Rambachan , Neil Shephard

We investigate the joint asymptotic behavior of so-called blocks estimator of the extremal index, that determines the mean length of clusters of extremes, based on the exceedances over different thresholds. Due to the large bias of these…

Methodology · Statistics 2011-07-06 Holger Drees

We use bias-reduced estimators of high quantiles, of heavy-tailed distributions, to introduce a new estimator of the mean in the case of infinite second moment. The asymptotic normality of the proposed estimator is established and checked,…

Methodology · Statistics 2014-05-09 Brahim Brahimi , Djamel Meraghni , Abdelhakim Necir , Djabrane Yahia

Given the unconfoundedness assumption, we propose new nonparametric estimators for the reduced dimensional conditional average treatment effect (CATE) function. In the first stage, the nuisance functions necessary for identifying CATE are…

Econometrics · Economics 2021-07-26 Qingliang Fan , Yu-Chin Hsu , Robert P. Lieli , Yichong Zhang

Understanding how effective high-level NICUs (neonatal intensive care units that have the capacity for sustained mechanical assisted ventilation and high volume) are compared to low-level NICUs is important and valuable for both individual…

Applications · Statistics 2014-04-10 Fan Yang , Scott A. Lorch , Dylan S. Small

To use historical controls for indirect comparison with single-arm trials, the population difference between data sources should be adjusted to reduce confounding bias. The adjustment is more difficult for time-to-event data with a cure…

Methodology · Statistics 2023-08-23 Jixian Wang , Hongtao Zhang , Ram Tiwari

When one studies the effects of taxes, tariffs, or prices using panel data, the treatment is often continuously distributed in every period. We propose difference-in-differences (DID) estimators for such cases. We assume that between…

In the multivariate setting, estimates of extremal risk measures are important in many contexts, such as environmental planning and structural engineering. In this paper, we propose new estimation methods for extremal bivariate return…

Methodology · Statistics 2022-10-11 C. J. R. Murphy-Barltrop , J. L. Wadsworth , E. F. Eastoe

Externally controlled single-arm trials are critical to assess treatment efficacy across therapeutic indications for which randomized controlled trials are not feasible. A closely-related research design, the unanchored indirect treatment…

Methodology · Statistics 2026-02-13 Harlan Campbell , Antonio Remiro-Azócar

In this paper we continue the investigation of the SRCEN estimator of the extreme value index $\gamma$ (or the tail index $\alpha=1/\gamma$) proposed in \cite{MCE} for $\gamma>1/2$. We propose a new estimator based on the local maximum.…

Statistics Theory · Mathematics 2017-10-10 Natalia Markovich , Marijus Vaičiulis

Quantile regression is an important tool for estimation of conditional quantiles of a response Y given a vector of covariates X. It can be used to measure the effect of covariates not only in the center of a distribution, but also in the…

Statistics Theory · Mathematics 2017-10-03 Victor Chernozhukov

Prediction of quantiles at extreme tails is of interest in numerous applications. Extreme value modelling provides various competing predictors for this point prediction problem. A common method of assessment of a set of competing…

Applications · Statistics 2021-06-30 Axel Gandy , Kaushik Jana , Almut E. D. Veraart

The Weibull tail-coefficient (WTC) plays a crucial role in extreme value statistics when dealing with Weibull-type tails. Several distributions, such as normal, Gamma, Weibull, and Logistic distributions, exhibit this type of tail…

Statistics Theory · Mathematics 2024-02-08 Lígia Henriques-Rodrigues , Frederico Caeiro , M. Ivette Gomes

This paper generalizes the changes-in-changes (CIC) model to handle discrete treatments with more than two categories, extending the binary case of Athey and Imbens (2006). While the original CIC model is well-suited for binary treatments,…

Econometrics · Economics 2024-11-05 Onil Boussim