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The Cox proportional hazards model is widely used in survival analysis to model time-to-event data. However, it faces significant computational challenges in the era of large-scale data, particularly when dealing with time-dependent…

Methodology · Statistics 2025-01-14 Miaomiao Su , Ruoyu Wang

We show how to achieve the notion of "multicalibration" from H\'ebert-Johnson et al. [2018] not just for means, but also for variances and other higher moments. Informally, it means that we can find regression functions which, given a data…

Machine Learning · Computer Science 2020-08-19 Christopher Jung , Changhwa Lee , Mallesh M. Pai , Aaron Roth , Rakesh Vohra

Hansen (1982) proposed a class of "generalized method of moments" (GMMs) for estimating a vector of regression parameters from a set of score functions. Hansen established that, under certain regularity conditions, the estimator based on…

Statistics Theory · Mathematics 2007-06-13 Ramani S. Pilla , Catherine Loader

Probability density estimation is a core problem of statistics and signal processing. Moment methods are an important means of density estimation, but they are generally strongly dependent on the choice of feasible functions, which severely…

Machine Learning · Statistics 2023-07-06 Guangyu Wu , Anders Lindquist

Missing data is an important challenge when dealing with high dimensional data arranged in the form of an array. In this paper, we propose methods for estimation of the parameters of array variate normal probability model from partially…

Methodology · Statistics 2015-01-06 Deniz Akdemir

Covariate-adaptive randomization is widely used in clinical trials to balance prognostic factors, and regression adjustments are often adopted to further enhance the estimation and inference efficiency. In practice, the covariates may…

Methodology · Statistics 2025-08-15 Wanjia Fu , Yingying Ma , Hanzhong Liu

This paper proposes a model-free nonparametric estimator of conditional quantile of a time series regression model where the covariate vector is repeated many times for different values of the response. This type of data is abound in…

Methodology · Statistics 2021-07-07 Soudeep Deb , Kaushik Jana

The Generalized Method of Moments (GMM) is a partition of unity based technique for solving electromagnetic and acoustic boundary integral equations. Past work on the GMM for electromagnetics was confined to geometries modeled by piecewise…

Computational Physics · Physics 2015-06-18 Daniel Dault , Naveen V. Nair , Jie Li , Balasubramaniam Shanker

Let $Y\in\R^n$ be a random vector with mean $s$ and covariance matrix $\sigma^2P_n\tra{P_n}$ where $P_n$ is some known $n\times n$-matrix. We construct a statistical procedure to estimate $s$ as well as under moment condition on $Y$ or…

Statistics Theory · Mathematics 2012-10-01 Xavier Gendre

An inference procedure is proposed to provide consistent estimators of parameters in a modal regression model with a covariate prone to measurement error. A score-based diagnostic tool exploiting parametric bootstrap is developed to assess…

Methodology · Statistics 2024-07-02 Qingyang Liu , Xianzheng Huang

Use of prediction models is widely recommended by clinical guidelines, but usually requires complete information on all predictors that is not always available in daily practice. We describe two methods for real-time handling of missing…

The standard quantile regression model assumes a linear relationship at the quantile of interest and that all variables are observed. We relax these assumptions by considering a partial linear model while allowing for missing linear…

Methodology · Statistics 2016-06-07 Ben Sherwood

In this paper, we develop a new and effective approach to nonparametric quantile regression that accommodates ultrahigh-dimensional data arising from spatio-temporal processes. This approach proves advantageous in staving off computational…

Methodology · Statistics 2024-05-27 Soudeep Deb , Claudia Neves , Subhrajyoty Roy

We consider a three-level meta-analysis of standardized mean differences. The standard method of estimation uses inverse-variance weights and REML/PL estimation of variance components for the random effects. We introduce new moment-based…

Methodology · Statistics 2024-11-05 Elena Kulinskaya , David C. Hoaglin

A new estimation method for the two-component mixture model introduced in \cite{Van13} is proposed. This model consists of a two-component mixture of linear regressions in which one component is entirely known while the proportion, the…

Methodology · Statistics 2015-01-05 L. Bordes , I. Kojadinovic , P. Vandekerkhove

In this paper, we consider a generalized multivariate regression problem where the responses are monotonic functions of linear transformations of predictors. We propose a semi-parametric algorithm based on the ordering of the responses…

Machine Learning · Statistics 2016-02-22 Milad Kharratzadeh , Mark Coates

In this paper, we study a novel approach for the estimation of quantiles when facing potential right censoring of the responses. Contrary to the existing literature on the subject, the adopted strategy of this paper is to tackle censoring…

Methodology · Statistics 2017-03-24 Mickaël De Backer , Anouar El Ghouch , Ingrid Van Keilegom

We propose employing a high-dimensional generalized method of moments (GMM) estimator, regularized for dimension reduction and subsequently debiased to correct for shrinkage bias (referred to as a debiased-regularized estimator), for…

Econometrics · Economics 2025-07-03 Victor Chernozhukov , Chen Huang , Weining Wang

We show that the generalized method of moments (GMM) estimation problem in instrumental variable quantile regression (IVQR) models can be equivalently formulated as a mixed integer quadratic programming problem. This enables exact…

Computation · Statistics 2017-03-29 Le-Yu Chen , Sokbae Lee

Existing identification and estimation methods for semiparametric sample selection models rely heavily on exclusion restrictions. However, it is difficult in practice to find a credible excluded variable that has a correlation with…

Econometrics · Economics 2024-12-03 Zhewen Pan , Yifan Zhang