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We propose an l1-regularized likelihood method for estimating the inverse covariance matrix in the high-dimensional multivariate normal model in presence of missing data. Our method is based on the assumption that the data are missing at…

Methodology · Statistics 2012-02-28 Nicolas Städler , Peter Bühlmann

The weighted average treatment effect (WATE) is a causal measure for the comparison of interventions in a specific target population, which may be different from the population where data are sampled from. For instance, when the goal is to…

Methodology · Statistics 2018-04-17 Yebin Tao , Haoda Fu

With the rapid advancements in technology for data collection, the application of the spatial autoregressive (SAR) model has become increasingly prevalent in real-world analysis, particularly when dealing with large datasets. However, the…

Econometrics · Economics 2025-05-05 Xuan Liang , Tao Zou

Nonparametric regression problems with qualitative constraints such as monotonicity or convexity are ubiquitous in applications. For example, in predicting the yield of a factory in terms of the number of labor hours, the monotonicity of…

Statistics Theory · Mathematics 2023-11-21 Soham Mallick , Siddhaarth Sarkar , Arun Kumar Kuchibhotla

Powerful array-based single-nucleotide polymorphism--typing platforms have recently heralded a new era in which genome-wide studies are conducted with increasing frequency. A genetic polymorphism associated with population pharmacokinetics…

Methodology · Statistics 2018-05-15 Kengo Nagashima , Yasunori Sato , Hisashi Noma , Chikuma Hamada

In this paper we study covariance estimation with missing data. We consider missing data mechanisms that can be independent of the data, or have a time varying dependency. Additionally, observed variables may have arbitrary (non uniform)…

Statistics Theory · Mathematics 2021-06-17 Eduardo Pavez , Antonio Ortega

In linear models, omitting a covariate that is orthogonal to covariates in the model does not result in biased coefficient estimation. This in general does not hold for longitudinal data, where additional assumptions are needed to get…

Statistics Theory · Mathematics 2023-05-30 Zhuowei Sun , Hongyuan Cao , Li Chen , Jason P. Fine

Sliced inverse regression (Duan and Li [Ann. Statist. 19 (1991) 505-530], Li [J. Amer. Statist. Assoc. 86 (1991) 316-342]) is an appealing dimension reduction method for regression models with multivariate covariates. It has been extended…

Statistics Theory · Mathematics 2015-10-26 Ci-Ren Jiang , Wei Yu , Jane-Ling Wang

Missing data is an universal problem in statistics. We develop a unified framework for estimating parameters defined by general estimating equations under a missing-at-random (MAR) mechanism, based on generalized entropy calibration…

Methodology · Statistics 2026-03-31 Mst Moushumi Pervin , Hengfang Wang , Jae Kwang Kim

We propose a comprehensive Bayesian joint modeling framework for zero-inflated longitudinal count data and time-to-event outcomes, explicitly incorporating a cure fraction to account for subjects who never experience the event. The…

Methodology · Statistics 2025-08-27 Taban Baghfalaki , Mojtaba Ganjali

In electronic health records (EHRs), latent subgroups of patients may exhibit distinctive patterning in their longitudinal health trajectories. For such data, growth mixture models (GMMs) enable classifying patients into different latent…

Methodology · Statistics 2022-01-12 Rebecca Anthopolos , Ying Wei , Qixuan Chen

The Average Treatment Effect (ATE) is a global measure of the effectiveness of an experimental treatment intervention. Classical methods of its estimation either ignore relevant covariates or do not fully exploit them. Moreover, past work…

Methodology · Statistics 2013-11-05 Emil Pitkin , Richard Berk , Lawrence Brown , Andreas Buja , Ed George , Kai Zhang , Linda Zhao

I propose kernel ridge regression estimators for nonparametric dose response curves and semiparametric treatment effects in the setting where an analyst has access to a selected sample rather than a random sample; only for select…

Econometrics · Economics 2022-08-24 Rahul Singh

A sum of observations derived by a simple random sampling design from a population of independent random variables is studied. A procedure finding a general term of Edgeworth asymptotic expansion is presented. The Lindeberg condition of…

Statistics Theory · Mathematics 2013-12-12 Ibrahim Bin Mohamed , Sherzod M. Mirakhmedov

In time series analysis, statistics based on collections of estimators computed from sub-samples play a crucial role in an increasing variety of important applications. Proving results about the joint asymptotic distribution of such…

Statistics Theory · Mathematics 2013-05-27 Stanislav Volgushev , Xiaofeng Shao

Longitudinal studies are subject to nonresponse when individuals fail to provide data for entire waves or particular questions of the survey. We compare approaches to nonresponse bias analysis (NRBA) in longitudinal studies and illustrate…

Methodology · Statistics 2024-01-31 Yajuan Si , Roderick Little , Ya Mo , Nell Sedransk

Longitudinal data are common in clinical trials and observational studies, where missing outcomes due to dropouts are always encountered. Under such context with the assumption of missing at random, the weighted generalized estimating…

Methodology · Statistics 2019-04-30 Chixiang Chen , Biyi Shen , Lijun Zhang , Yuan Xue , Ming Wang

The objective of this paper is to establish a general asymptotic representation (\textit{GAR}) for a wide range of statistics, employing two fundamental processes: the functional empirical process (\textit{fep}) and the residual functional…

Statistics Theory · Mathematics 2025-08-08 Gane Samb Lo , Tchilabalo Abozou Kpanzou , Gandasor Bonyiri Onesiphore Da

A frequentist asymptotic expansion method for error estimation is employed for a network of gravitational wave detectors to assess the amount of information that can be extracted from gravitational wave observations. Mathematically we…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Rhondale Tso , Michele Zanolin

This article introduces a new estimator of average treatment effects under unobserved confounding in modern data-rich environments featuring large numbers of units and outcomes. The proposed estimator is doubly robust, combining outcome…

Econometrics · Economics 2024-10-30 Alberto Abadie , Anish Agarwal , Raaz Dwivedi , Abhin Shah
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