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In this paper, a practical estimation method for a regression model is proposed using semiparametric efficient score functions applicable to data with various shapes of errors. First, I derive semiparametric efficient score vectors for a…

Methodology · Statistics 2023-01-23 Mijeong Kim

In this article, we propose a new algorithm for supervised learning methods, by which one can both capture the non-linearity in data and also find the best subset model. To produce an enhanced subset of the original variables, an ideal…

Applications · Statistics 2017-01-23 Peyman Tavallali , Marianne Razavi , Sean Brady

This paper explores different methods to estimate prices paid per efficiency unit of labor in panel data. We study the sensitivity of skill price estimates to different assumptions regarding workers' choice problem, identification…

General Economics · Economics 2021-11-25 Michael J. Böhm , Hans-Martin von Gaudecker

This work develops a new method for estimating and optimizing the directed information rate between two jointly stationary and ergodic stochastic processes. Building upon recent advances in machine learning, we propose a recurrent neural…

Information Theory · Computer Science 2022-03-29 Dor Tsur , Ziv Aharoni , Ziv Goldfeld , Haim Permuter

Convex regression is a promising area for bridging statistical estimation and deterministic convex optimization. New piecewise linear convex regression methods are fast and scalable, but can have instability when used to approximate…

Machine Learning · Computer Science 2012-06-22 Lauren Hannah , David Dunson

This article describes posterior maximization for topic models, identifying computational and conceptual gains from inference under a non-standard parametrization. We then show that fitted parameters can be used as the basis for a novel…

Applications · Statistics 2011-12-30 Matthew A. Taddy

Many popular estimation methods in panel data rely on the assumption that the covariates of interest are strictly exogenous. However, this assumption is empirically restrictive in a wide range of settings. In this paper I argue that…

Econometrics · Economics 2025-12-22 Stephane Bonhomme

We investigate the nonparametric estimation for regression in a fixed-design setting when the errors are given by a field of dependent random variables. Sufficient conditions for kernel estimators to converge uniformly are obtained. These…

Statistics Theory · Mathematics 2007-06-13 Mohamed El Machkouri

This paper surveys the machine learning literature and presents in an optimization framework several commonly used machine learning approaches. Particularly, mathematical optimization models are presented for regression, classification,…

Optimization and Control · Mathematics 2021-01-12 Claudio Gambella , Bissan Ghaddar , Joe Naoum-Sawaya

This paper presents an estimator for semiparametric models that uses a feed-forward neural network to fit the nonparametric component. Unlike many methodologies from the machine learning literature, this approach is suitable for…

Applications · Statistics 2017-05-19 Andrew Crane-Droesch

The increasing popularity of regression discontinuity methods for causal inference in observational studies has led to a proliferation of different estimating strategies, most of which involve first fitting non-parametric regression models…

Methodology · Statistics 2018-06-11 Guido Imbens , Stefan Wager

We propose a new procedure for inference on optimal treatment regimes in the model-free setting, which does not require to specify an outcome regression model. Existing model-free estimators for optimal treatment regimes are usually not…

Methodology · Statistics 2020-07-06 Yunan Wu , Lan Wang

This paper surveys the recent advances in machine learning method for economic forecasting. The survey covers the following topics: nowcasting, textual data, panel and tensor data, high-dimensional Granger causality tests, time series…

Econometrics · Economics 2023-08-23 Andrii Babii , Eric Ghysels , Jonas Striaukas

Control and state estimation procedures need to be robust against imprecisely known parameters, uncertainty in initial conditions, and external disturbances. Interval methods and other set-based techniques form the basis for the…

Systems and Control · Electrical Eng. & Systems 2025-10-22 Andreas Rauh , Marit Lahme , Simon Rohou , Luc Jaulin , Thach Ngoc Dinh , Tarek Raissi , Mohamed Fnadi

Understanding when and why interpolating methods generalize well has recently been a topic of interest in statistical learning theory. However, systematically connecting interpolating methods to achievable notions of optimality has only…

Machine Learning · Statistics 2021-10-22 Eduard Oravkin , Patrick Rebeschini

Standard maximum likelihood or Bayesian approaches to parameter estimation for stochastic differential equations are not robust to perturbations in the continuous-in-time data. In this paper, we give a rather elementary explanation of this…

Numerical Analysis · Mathematics 2023-12-20 Sebastian Reich

Performance estimation aims at estimating the loss that a predictive model will incur on unseen data. These procedures are part of the pipeline in every machine learning project and are used for assessing the overall generalisation ability…

Machine Learning · Computer Science 2021-08-31 Vitor Cerqueira , Luis Torgo , Igor Mozetic

The article considers parameter estimation constructing such as quasi-maximum likelyhood estimation and one step estimation in statistical models generated by solution of stochastic differential equation. It has been developed a software…

Statistics Theory · Mathematics 2021-03-12 Dmytro Ivanenko , Rostyslav Pogorielov

Composition methodologies in the current literature are mainly to promote estimation efficiency via direct composition, either, of initial estimators or of objective functions. In this paper, composite estimation is investigated for both…

Methodology · Statistics 2013-12-31 Lu Lin , Feng Li , Kangning Wang , Lixing Zhu

Beta regression models provide an adequate approach for modeling continuous outcomes limited to the interval (0,1). This paper deals with an extension of beta regression models that allow for explanatory variables to be measured with error.…

Methodology · Statistics 2013-04-11 Jalmar M. F. Carrasco , Silvia L. P. Ferrari , Reinaldo B. Arellano-Valle