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This paper proposes consistent estimators for transformation parameters in semiparametric models. The problem is to find the optimal transformation into the space of models with a predetermined regression structure like additive or…

统计理论 · 数学 2008-12-18 Oliver Linton , Stefan Sperlich , Ingrid Van Keilegom

The complexity of semiparametric models poses new challenges to statistical inference and model selection that frequently arise from real applications. In this work, we propose new estimation and variable selection procedures for the…

统计理论 · 数学 2011-03-09 Bo Kai , Runze Li , Hui Zou

In this paper, we first provide a review of different non-parametric estimators for the cumulative distribution function under left-censoring. We then propose a new estimator based on a non-parametric likelihood approach using reversed…

统计理论 · 数学 2023-07-11 N. Balakrishnan , Christian Paroissin , Magdalena Pereda Vivo

The parameter estimation of unnormalized models is a challenging problem. The maximum likelihood estimation (MLE) is computationally infeasible for these models since normalizing constants are not explicitly calculated. Although some…

机器学习 · 统计学 2020-06-09 Masatoshi Uehara , Takafumi Kanamori , Takashi Takenouchi , Takeru Matsuda

The present study discuss the problem of estimating the finite population mean using auxiliary attribute in stratified random sampling. In this paper taking the advantage of point bi-serial correlation between the study variable and…

统计理论 · 数学 2014-08-13 Hemant K. Verma , Prayas Sharma , Rajesh Singh

We construct an unbiased estimator for function value evaluated at the solution of a partial differential equation with random coefficients. We show that the variance and expected computational cost of our estimator are finite and our…

概率论 · 数学 2019-04-23 Jose Blanchet , Fengpei Li , Xiaoou Li

We revisit the problem of estimating the mean of a real-valued distribution, presenting a novel estimator with sub-Gaussian convergence: intuitively, "our estimator, on any distribution, is as accurate as the sample mean is for the Gaussian…

统计理论 · 数学 2020-11-18 Jasper C. H. Lee , Paul Valiant

Evaluating mathematical reasoning in LLMs is constrained by limited benchmark sizes and inherent model stochasticity, yielding high-variance accuracy estimates and unstable rankings across platforms. On difficult problems, an LLM may fail…

机器学习 · 计算机科学 2026-02-04 Zihan Dong , Zhixian Zhang , Yang Zhou , Can Jin , Ruijia Wu , Linjun Zhang

In this paper, we observe a fixed number of unknown $2\pi$-periodic functions differing from each other by both phases and amplitude. This semiparametric model appears in literature under the name "shape invariant model." While the common…

统计理论 · 数学 2010-10-06 Myriam Vimond

This paper addresses the problem of semiparametric efficiency bounds for conditional moment restriction models with different conditioning variables. We characterize such an efficiency bound, that in general is not explicit, as a limit of…

统计理论 · 数学 2011-11-29 Marian Hristache , Valentin Patilea

We study the problem of estimating a functional or a parameter in the context where outcome is subject to nonignorable missingness. We completely avoid modeling the regression relation, while allowing the propensity to be modeled by a…

统计方法学 · 统计学 2021-08-12 Samidha Shetty , Yanyuan Ma , Jiwei Zhao

During the past sixty years, a lot of effort has been made regarding the productive efficiency. Such endeavours provided an extensive bibliography on this subject, culminating in two main methods, named the Stochastic Frontier Analysis…

最优化与控制 · 数学 2019-08-14 Anibal Galindro , Micael Santos , Delfim F. M. Torres , Ana Marta-Costa

Mediation analysis is widely used for exploring treatment mechanisms; however, it faces challenges when nonignorable missing confounders are present. Efficient inference of mediation effects and the efficiency loss due to nonignorable…

统计方法学 · 统计学 2026-04-22 Jiawei Shan , Wei Li , Chunrong Ai

Respondent-driven sampling is a widely-used network sampling technique, designed to sample from hard-to-reach populations. Estimation from the resulting samples is an area of active research, with software available to compute at least four…

应用统计 · 统计学 2010-12-21 Amber Tomas , Krista J. Gile

This paper concerns the estimation of the regression function at a given point in nonparametric heteroscedastic models with Gaussian noise or with noise having unknown distribution. In the two cases an asymptotically efficient kernel…

统计理论 · 数学 2007-11-30 Jean-Yves Brua

We consider the efficient estimation of the semiparametric additive transformation model with current status data. A wide range of survival models and econometric models can be incorporated into this general transformation framework. We…

统计理论 · 数学 2011-05-09 Guang Cheng , Xiao Wang

Estimation of a deterministic quantity observed in non-Gaussian additive noise is explored via order statistics approach. More specifically, we study the estimation problem when measurement noises either have positive supports or follow a…

信号处理 · 电气工程与系统科学 2020-07-15 Kamiar Radnosrati , Gustaf Hendeby , Fredrik Gustafsson

In this paper, we have proposed a new Ratio Type Estimator using auxiliary information on two auxiliary variables based on Simple random sampling without replacement (SRSWOR). The proposed estimator is found to be more efficient than the…

统计理论 · 数学 2014-02-18 Prayas Sharma , Rajesh Singh

We develop flexible, semiparametric estimators of the average treatment effect (ATE) transported to a new population ("target population") that offer potential efficiency gains. Transport may be of value when the ATE may differ across…

统计方法学 · 统计学 2024-06-07 Kara E. Rudolph , Nicholas T. Williams , Elizabeth A. Stuart , Ivan Diaz

In observational studies, covariates with substantial missing data are often omitted, despite their strong predictive capabilities. These excluded covariates are generally believed not to simultaneously affect both treatment and outcome,…

统计方法学 · 统计学 2024-02-23 Shanshan Luo , Mengchen Shi , Wei Li , Xueli Wang , Zhi Geng