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We consider nonparametric estimation of a regression curve when the data are observed with multiplicative distortion which depends on an observed confounding variable. We suggest several estimators, ranging from a relatively simple one that…

Statistics Theory · Mathematics 2016-01-13 Aurore Delaigle , Peter Hall , Wen-Xin Zhou

Aiming to estimate extreme precipitation forecast quantiles, we propose a nonparametric regression model that features a constant extreme value index. Using local linear quantile regression and an extrapolation technique from extreme value…

Methodology · Statistics 2019-03-06 Jasper Velthoen , Juan-Juan Cai , Geurt Jongbloed , Maurice Schmeits

The problem of parameter estimation from a standard vector linear regression equation in the absence of sufficient excitation in the regressor is addressed. The first step to solve the problem consists in transforming this equation into a…

Methodology · Statistics 2022-03-14 Alexey Bobtsov , Bowen Yi , Romeo Ortega , Alessandro Astolfi

Modeling symptom progression to identify informative subjects for a new Huntington's disease clinical trial is problematic since time to diagnosis, a key covariate, can be heavily censored. Imputation is an appealing strategy where censored…

Methodology · Statistics 2025-02-11 Sarah C. Lotspeich , Tanya P. Garcia

Regression models that ignore measurement error in predictors may produce highly biased estimates leading to erroneous inferences. It is well known that it is extremely difficult to take measurement error into account in Gaussian…

Methodology · Statistics 2023-02-03 Mohammad W. Hattab , David Ruppert

Inferring the causal effect of a non-randomly assigned exposure on an outcome requires adjusting for common causes of the exposure and outcome to avoid biased conclusions. Notwithstanding the efforts investigators routinely make to measure…

Methodology · Statistics 2021-02-04 Wen Wei Loh , Stijn Vansteelandt

Copula-based modeling has seen rapid advances in recent years. However, in big data applications, the lengthy computation time for estimating copula parameters is a major difficulty. Here, we develop a novel method to speed computation time…

Methodology · Statistics 2016-09-20 Zheng Wei , Daeyoung Kim , Erin Marie Conlon

When a mathematical or computational model is used to analyse some system, it is usual that some parameters resp.\ functions or fields in the model are not known, and hence uncertain. These parametric quantities are then identified by…

Probability · Mathematics 2016-07-01 Hermann G. Matthies , Elmar Zander , Bojana Rosic , Alexander Litvinenko

The non-parametric estimation of average causal effects in observational studies often relies on controlling for confounding covariates through smoothing regression methods such as kernel, splines or local polynomial regression. Such…

Methodology · Statistics 2017-10-20 Jenny Häggström , Xavier de Luna

In this work we consider a model problem of deep neural learning, namely the learning of a given function when it is assumed that we have access to its point values on a finite set of points. The deep neural network interpolant is the the…

Machine Learning · Statistics 2023-06-27 Michail Loulakis , Charalambos G. Makridakis

In this paper, I show how neural networks can be used to simultaneously estimate all unknown parameters in a spatial point process model from an observed point pattern. The method can be applied to any point process model which it is…

Methodology · Statistics 2022-04-14 Ninna Vihrs

Assume a (semi)parametrically efficient estimator is given of the Euclidean parameter in a (semi)parametric model. A submodel is obtained by constraining this model in that a continuously differentiable function of the Euclidean parameter…

Statistics Theory · Mathematics 2016-06-27 Chris A. J. Klaassen , Nanang Susyanto

This paper presents a practical and simple fully nonparametric multivariate smoothing procedure that adapts to the underlying smoothness of the true regression function. Our estimator is easily computed by successive application of existing…

Methodology · Statistics 2011-06-08 P. A. Cornillon , N. Hengartner , E. Matzner-Løber

This paper deals with the problem of estimating a slope parameter in a simple linear regression model, where independent variables have functional measurement errors. Measurement errors in independent variables, as is well known, cause…

Statistics Theory · Mathematics 2018-04-10 Hisayuki Tsukuma

Statistical models incorporating change points are common in practice, especially in the area of biomedicine. This approach is appealing in that a specific parameter is introduced to account for the abrupt change in the response variable…

Statistics Theory · Mathematics 2008-12-18 Hongling Zhou , Kung-Yee Liang

This paper obtains asymptotic results for parametric inference using prediction-based estimating functions when the data are high frequency observations of a diffusion process with an infinite time horizon. Specifically, the data are…

Statistics Theory · Mathematics 2020-07-27 Emil S. Jørgensen , Michael Sørensen

Parameter estimation is one of the most important tasks in statistics, and is key to helping people understand the distribution behind a sample of observations. Traditionally parameter estimation is done either by closed-form solutions…

Machine Learning · Computer Science 2024-03-04 Xiaoxin Yin , David S. Yin

Time delay estimation has long been an active area of research. In this work, we show that compressive sensing with interpolation may be used to achieve good estimation precision while lowering the sampling frequency. We propose an…

Information Theory · Computer Science 2013-06-12 Karsten Fyhn , Marco F. Duarte , Søren Holdt Jensen

We develop a new approximative estimation method for conditional Shapley values obtained using a linear regression model. We develop a new estimation method and outperform existing methodology and implementations. Compared to the sequential…

Methodology · Statistics 2025-04-28 Fredrik Lohne Aanes

In this paper, we consider the estimation of generalized linear models with covariates that are missing completely at random. We propose a model averaging estimation method and prove that the corresponding model averaging estimator is…

Statistics Theory · Mathematics 2017-10-26 Qingfeng Liu , Miaomiao Zheng