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This paper considers the problem of estimating a periodic function in a continuous time regression model with a general square integrable semimartingale noise. A model selection adaptive procedure is proposed. Sharp non-asymptotic oracle…

统计理论 · 数学 2009-09-18 Victor Konev , Serguei Pergamenchtchikov

We propose Path Signatures Logistic Regression (PSLR), a semi-parametric framework for classifying vector-valued functional data with scalar covariates. Classical functional logistic regression models rely on linear assumptions and fixed…

机器学习 · 统计学 2025-07-10 Pengcheng Zeng , Siyuan Jiang

We study the off-policy evaluation (OPE) problem in an infinite-horizon Markov decision process with continuous states and actions. We recast the $Q$-function estimation into a special form of the nonparametric instrumental variables (NPIV)…

统计理论 · 数学 2022-06-28 Xiaohong Chen , Zhengling Qi

We present a general non-parametric statistical inference theory for integrals of quantiles without assuming any specific sampling design or dependence structure. Technical considerations are accompanied by examples and discussions,…

统计理论 · 数学 2026-01-19 Nadezhda Gribkova , Mengqi Wang , Ričardas Zitikis

We consider a joint asymptotic framework for studying semi-nonparametric regression models where (finite-dimensional) Euclidean parameters and (infinite-dimensional) functional parameters are both of interest. The class of models in…

统计理论 · 数学 2015-06-04 Guang Cheng , Zuofeng Shang

We consider the nonparametric estimation problem of time-dependent multivariate functions observed in a presence of additive cylindrical Gaussian white noise of a small intensity. We derive minimax lower bounds for the $L^2$-risk in the…

统计理论 · 数学 2012-11-02 Jérémie Bigot , Theofanis Sapatinas

We consider the convolution model where i.i.d. random variables $X_i$ having unknown density $f$ are observed with additive i.i.d. noise, independent of the $X$'s. We assume that the density $f$ belongs to either a Sobolev class or a class…

统计理论 · 数学 2009-09-29 Cristina Butucea

We study parameter estimation and asymptotic inference for sparse nonlinear regression. More specifically, we assume the data are given by $y = f( x^\top \beta^* ) + \epsilon$, where $f$ is nonlinear. To recover $\beta^*$, we propose an…

机器学习 · 统计学 2015-11-17 Zhuoran Yang , Zhaoran Wang , Han Liu , Yonina C. Eldar , Tong Zhang

Difference-in-differences (DiD) is a cornerstone of causal inference, yet extending it to functional outcomes is not a routine scalar generalization; rather, it entails three fundamental challenges in identification, inference, and…

统计方法学 · 统计学 2026-05-29 Junzhu Nie , Chengxiu Ling , Mengfei Ran

In this paper, we study nonparametric models allowing for locally stationary regressors and a regression function that changes smoothly over time. These models are a natural extension of time series models with time-varying coefficients. We…

统计理论 · 数学 2013-02-19 Michael Vogt

This paper discusses asymptotic distributions of various estimators of the underlying parameters in some regression models with long memory (LM) Gaussian design and nonparametric heteroscedastic LM moving average errors. In the simple…

统计理论 · 数学 2008-12-18 Hongwen Guo , Hira L. Koul

In this paper, we propose new semiparametric procedures for making inference on linear functionals and their functions of two semicontinuous populations. The distribution of each population is usually characterized by a mixture of a…

统计方法学 · 统计学 2020-12-21 Meng Yuan , Chunlin Wang , Boxi Lin , Pengfei Li

We study inference using trimmed least squares (TLS) and trimmed least absolute deviations (TLAD) estimators of \citet{honore_trimmed_1992} in censored two-period panel-data models with fixed effects. We show that the published asymptotic…

计量经济学 · 经济学 2026-05-19 Denis Chetverikov , Jesper R. -V. ~Sørensen , Bo Honoré

We provide a comprehensive set of new results on the impact of mis-specifying the short run dynamics in fractionally integrated processes. We show that four alternative parametric estimators - frequency domain maximum likelihood, Whittle,…

统计理论 · 数学 2018-10-23 Gael M. Martin , Kanchana Nadarajah , D. S. Poskitt

We prove conditional asymptotic normality of a class of quadratic U-statistics that are dominated by their degenerate second order part and have kernels that change with the number of observations. These statistics arise in the construction…

统计方法学 · 统计学 2015-12-09 James Robins , Lingling Li , Eric Tchetgen Tchetgen , Aad van der Vaart

We propose and implement an approach to inference in linear instrumental variables models which is simultaneously robust and computationally tractable. Inference is based on self-normalization of sample moment conditions, and allows for…

计量经济学 · 经济学 2022-11-29 Eric Gautier , Christiern Rose

We consider a multivariate functional measurement error model $AX\approx B$. The errors in $[A,B]$ are uncorrelated, row-wise independent, and have equal (unknown) variances. We study the total least squares estimator of $X$, which, in the…

概率论 · 数学 2016-07-14 Alexander Kukush , Yaroslav Tsaregorodtsev

We propose a nonparametric method for estimating the conditional quantile function that admits a generalized additive specification with an unknown link function. This model nests single-index, additive, and multiplicative quantile…

统计理论 · 数学 2023-06-07 Yebin Cheng , Jan G. De Gooijer

We propose a general approach to construct weighted likelihood estimating equations with the aim of obtaining robust parameter estimates. We modify the standard likelihood equations by incorporating a weight that reflects the statistical…

Since its early use in least squares regression problems, the l1-penalization framework for variable selection has been employed in conjunction with a wide range of loss functions encompassing regression, classification and survival…

统计理论 · 数学 2009-08-14 Guilherme V. Rocha , Xing Wang , Bin Yu