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In this paper we deal with the estimation of population variance of the study variable y using auxiliary information on variable x. A family of ratio and product-type estimators are proposed using suitable transformation on both random…

Statistics Theory · Mathematics 2013-09-16 Viplav K. Singh , Rajesh Singh

In many randomized clinical trials of therapeutics for COVID-19, the primary outcome is an ordinal categorical variable, and interest focuses on the odds ratio (active agent vs. control) under the assumption of a proportional odds model.…

Methodology · Statistics 2021-08-25 Anastasios A. Tsiatis , Marie Davidian , Shannon T. Holloway

Multi-armed bandit methods have been used for dynamic experiments particularly in online services. Among the methods, thompson sampling is widely used because it is simple but shows desirable performance. Many thompson sampling methods for…

Machine Learning · Computer Science 2020-03-05 Sulgi Kim , Kyungmin Kim

The reliability of machine learning systems critically assumes that the associations between features and labels remain similar between training and test distributions. However, unmeasured variables, such as confounders, break this…

Machine Learning · Computer Science 2020-08-17 Megha Srivastava , Tatsunori Hashimoto , Percy Liang

Applied work often studies the effect of a binary variable ("treatment") using linear models with additive effects. I study the interpretation of the OLS estimands in such models when treatment effects are heterogeneous. I show that the…

Econometrics · Economics 2020-05-21 Tymon Słoczyński

We study the empirical measure associated to a sample of size $n$ and modified by $N$ iterations of the raking-ratio method. This empirical measure is adjusted to match the true probability of sets in a finite partition which changes each…

Statistics Theory · Mathematics 2019-01-10 Mickael Albertus , Philippe Berthet

We consider regression analysis in the context of data integration. To combine partial information from external sources, we employ the idea of model calibration which introduces a "working" reduced model based on the observed covariates.…

Methodology · Statistics 2022-10-13 Zhonglei Wang , Hang J. Kim , Jae Kwang Kim

Covariate adjustment can improve precision in analyzing randomized experiments. With fully observed data, regression adjustment and propensity score weighting are asymptotically equivalent in improving efficiency over unadjusted analysis.…

Methodology · Statistics 2024-03-06 Anqi Zhao , Peng Ding , Fan Li

Three statistical studies, all published between 2004 and 2008 but without referring to one another, assert a useful equivalence involving the hazard ratio, a parameter estimated for time to event data by the frequently used proportional…

Methodology · Statistics 2021-09-28 David M. Thompson , Julia E. Reid

In Small Area Estimation data linkage can be used to combine values of the variableof interest from a national survey with values of auxiliary variables obtained from another source like a population register. Linkage errors can induce bias…

Methodology · Statistics 2019-04-02 Ray Chambers , Enrico Fabrizi , Nicola Salvati

The aim of survey statistics is to produce estimates with a minimal bias and a corresponding acceptable variance given a specific budget, preferable with a minor response burden for the participants. In recent years, considerable efforts…

Methodology · Statistics 2026-04-02 Martin Hyllienmark , Gustaf Strandell

Quantile regression is a powerful tool for detecting exposure-outcome associations given covariates across different parts of the outcome's distribution, but has two major limitations when the aim is to infer the effect of an exposure.…

To increase statistical efficiency in a randomized experiment, researchers often use stratification (i.e., blocking) in the design stage. However, conventional practices of stratification fail to exploit valuable information about the…

Methodology · Statistics 2025-10-28 Zikai Li

This paper proposes new estimators for the propensity score that aim to maximize the covariate distribution balance among different treatment groups. Heuristically, our proposed procedure attempts to estimate a propensity score model by…

Econometrics · Economics 2020-04-07 Pedro H. C. Sant'Anna , Xiaojun Song , Qi Xu

There is growing interest in a hybrid control design in which a randomized controlled trial is augmented with an external control arm from a previous trial or real world data. Existing methods for analyzing hybrid control studies include…

Methodology · Statistics 2025-01-30 Zhiwei Zhang , Jialuo Liu , Wei Liu

We consider one of the most basic multiple testing problems that compares expectations of multivariate data among several groups. As a test statistic, a conventional (approximate) $t$-statistic is considered, and we determine its rejection…

Methodology · Statistics 2016-12-20 Yoshiyuki Ninomiya , Satoshi Kuriki , Toshihiko Shiroishi , Toyoyuki Takada

We propose generalized additive partial linear models for complex data which allow one to capture nonlinear patterns of some covariates, in the presence of linear components. The proposed method improves estimation efficiency and increases…

Statistics Theory · Mathematics 2014-05-26 Li Wang , Lan Xue , Annie Qu , Hua Liang

How should one combine noisy information from diverse sources to make an inference about an objective ground truth? This frequently recurring, normative question lies at the core of statistics, machine learning, policy-making, and everyday…

Multiagent Systems · Computer Science 2020-01-29 Silviu Pitis , Michael R. Zhang

A composite likelihood is a non-genuine likelihood function that allows to make inference on limited aspects of a model, such as marginal or conditional distributions. Composite likelihoods are not proper likelihoods and need therefore…

Methodology · Statistics 2021-04-06 Michele Lambardi di San Miniato , Nicola Sartori

The pervasive use of prevalent cohort studies on disease duration, increasingly calls for appropriate methodologies to account for the biases that invariably accompany samples formed by such data. It is well-known, for example, that…

Statistics Theory · Mathematics 2013-11-07 Ashkan Ertefaie , Masoud Asgharian , David Stephens
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