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We propose an iterative estimating equations procedure for analysis of longitudinal data. We show that, under very mild conditions, the probability that the procedure converges at an exponential rate tends to one as the sample size…

统计理论 · 数学 2007-12-18 Jiming Jiang , Yihui Luan , You-Gan Wang

Subsampling is an effective approach to alleviate the computational burden associated with large-scale datasets. Nevertheless, existing subsampling estimators incur a substantial loss in estimation efficiency compared to estimators based on…

统计方法学 · 统计学 2025-09-25 Miaomiao Su , Ruoyu Wang

A Two-Stage approach enables researchers to make optimal non-linear predictions via Generalized Ridge Regression using models that contain two or more x-predictor variables and make only realistic minimal assumptions. The optimal regression…

统计方法学 · 统计学 2023-07-11 Robert L. Obenchain

This paper constructs a doubly robust estimator for continuous dose-response estimation. An outcome regression model is augmented with a set of inverse generalized propensity score covariates to correct for potential misspecification bias.…

统计理论 · 数学 2015-06-17 Daniel J. Graham , Emma J. McCoy , David A. Stephens

We propose a novel two-regime regression model where regime switching is driven by a vector of possibly unobservable factors. When the factors are latent, we estimate them by the principal component analysis of a panel data set. We show…

计量经济学 · 经济学 2022-08-11 Sokbae Lee , Yuan Liao , Myung Hwan Seo , Youngki Shin

We propose two-stage and sequential procedures to estimate the unknown parameter N of a binomial distribution with unknown parameter p, when we reinforce data with an independent sample of a negative-binomial experiment having the same p.

统计方法学 · 统计学 2022-04-14 Yaakov Malinovsky , Shelemyahu Zacks

Approximately unbiased tests based on bootstrap probabilities are considered for the exponential family of distributions with unknown expectation parameter vector, where the null hypothesis is represented as an arbitrary-shaped region with…

统计理论 · 数学 2013-12-24 Hidetoshi Shimodaira

In many surveys inexpensive auxiliary variables are available that can help us to make more precise estimation about the main variable. Using auxiliary variable has been extended by regression estimators for rare and cluster populations. In…

统计理论 · 数学 2018-03-14 Bardia Panahbehagh , Afshin Parvardeh , Babak Mohammadi

Economic modeling in the presence of endogeneity is subject to model uncertainty at both the instrument and covariate level. We propose a Two-Stage Bayesian Model Averaging (2SBMA) methodology that extends the Two-Stage Least Squares (2SLS)…

统计方法学 · 统计学 2012-02-28 A. Lenkoski , T. S. Eicher , A. E. Raftery

This paper investigates the two-step estimation of a high dimensional additive regression model, in which the number of nonparametric additive components is potentially larger than the sample size but the number of significant additive…

统计理论 · 数学 2013-01-30 Kengo Kato

We study the rate of convergence of linear two-time-scale stochastic approximation methods. We consider two-time-scale linear iterations driven by i.i.d. noise, prove some results on their asymptotic covariance and establish asymptotic…

概率论 · 数学 2009-09-29 Vijay R. Konda , John N. Tsitsiklis

We propose a new stochastic gradient method called MOTAPS (Moving Targetted Polyak Stepsize) that uses recorded past loss values to compute adaptive stepsizes. MOTAPS can be seen as a variant of the Stochastic Polyak (SP) which is also a…

机器学习 · 计算机科学 2021-09-27 Robert M. Gower , Aaron Defazio , Michael Rabbat

A weighted regression procedure is proposed for regression type problems where the innovations are heavy-tailed. This method approximates the least absolute regression method in large samples, and the main advantage will be if the sample is…

统计计算 · 统计学 2018-11-06 J. Martin van Zyl

In many scientific applications, the target probability distribution cannot be evaluated in closed form or sampled from directly. Instead, it can often be decomposed into multiple components, some of which are accessible only through…

统计方法学 · 统计学 2026-03-10 Roxana Darvishi , David C. Stenning , Ted von Hippel , Owen G. Ward

A new way to design parameter estimators with enhanced performance is proposed in the paper. The procedure consists of two stages, first, the generation of new regression forms via the application of a dynamic operator to the original…

系统与控制 · 计算机科学 2020-01-22 Aranovskiy Stanislav , Bobtsov Alexey , Ortega Romeo , Pyrkin Anton

In [13], an Inexact variant of Stochastic Dual Dynamic Programming (SDDP) called ISDDP was introduced which uses approximate (instead of exact with SDDP) primal dual solutions of the problems solved in the forward and backward passes of the…

最优化与控制 · 数学 2021-04-08 Vincent Guigues , Renato Monteiro , Benar Svaiter

This article introduces an L-estimator for the semiparametric Tobit model with endogenous regressors. The estimation procedure follows a two-stage approach: the first stage employs least squares, while the second stage utilizes the…

统计方法学 · 统计学 2025-09-10 Swati Shukla , Subhra Sankar Dhar , Shalabh

We study a spectral initialization method that serves a key role in recent work on estimating signals in nonconvex settings. Previous analysis of this method focuses on the phase retrieval problem and provides only performance bounds. In…

信息论 · 计算机科学 2019-07-23 Yue M. Lu , Gen Li

System reliability assessment(SRA) is a challenging task due to the limited experimental data and the complex nature of the system structures. Despite a long history dating back to \cite{buehler1957confidence}, exact methods have only been…

统计方法学 · 统计学 2025-06-06 Junpeng Gong , Xu He , Zhaohui Li

We propose a two-step estimating procedure for generalized additive partially linear models with clustered data using estimating equations. Our proposed method applies to the case that the number of observations per cluster is allowed to…

统计理论 · 数学 2013-02-20 Shujie Ma