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Machine learning techniques always aim to reduce the generalized prediction error. In order to reduce it, ensemble methods present a good approach combining several models that results in a greater forecasting capacity. The Random Machines…

Machine Learning · Statistics 2020-03-31 Anderson Ara , Mateus Maia , Samuel Macêdo , Francisco Louzada

In modern statistics, interests shift from pursuing the uniformly minimum variance unbiased estimator to reducing mean squared error (MSE) or residual squared error. Shrinkage based estimation and regression methods offer better prediction…

Methodology · Statistics 2025-02-25 Tianyu Zhan , Haoda Fu , Jian Kang

Random-effects models are frequently used to synthesise information from different studies in meta-analysis. While likelihood-based inference is attractive both in terms of limiting properties and of implementation, its application in…

Applications · Statistics 2018-05-25 Sophia Kyriakou , Ioannis Kosmidis , Nicola Sartori

We consider benchmarked empirical Bayes (EB) estimators under the basic area-level model of Fay and Herriot while requiring the standard benchmarking constraint. In this paper we determine the excess mean squared error (MSE) from…

Methodology · Statistics 2013-04-08 Rebecca C. Steorts , Malay Ghosh

Analyses of randomised trials are often based on regression models which adjust for baseline covariates, in addition to randomised group. Based on such models, one can obtain estimates of the marginal mean outcome for the population under…

Methodology · Statistics 2017-07-17 Jonathan W. Bartlett

This study introduces a debiasing method for regression estimators, including high-dimensional and nonparametric regression estimators. For example, nonparametric regression methods allow for the estimation of regression functions in a…

Machine Learning · Statistics 2024-11-27 Masahiro Kato

Generalized estimating equation (GEE) is widely adopted for regression modeling for longitudinal data, taking account of potential correlations within the same subjects. Although the standard GEE assumes common regression coefficients among…

Methodology · Statistics 2022-07-11 Tsubasa Ito , Shonosuke Sugasawa

We propose a way to remove the bias of a Poisson regression when the subjects are partially observed. In this paper we address this issue under certain assumptions about the missing-data generating process. We fix the total number of…

Statistics Theory · Mathematics 2014-07-08 Seyed Jalil Kazemitabar

This paper investigates the efficiency of an alternative to ratio estimator under the super population model with uncorrelated errors and a gamma-distributed auxiliary variable. Comparisons with usual ratio and unbiased estimators are also…

General Mathematics · Mathematics 2007-05-23 M. Khoshnevisan , F. Kaymram , Housila P. Singh , Rajesh Singh , Florentin Smarandache

State estimation is a classical problem in quantum information. In optimization of estimation scheme, to find a lower bound to the error of the estimator is a very important step. So far, all the proposed tractable lower bounds use…

Quantum Physics · Physics 2007-05-23 Yoshiyuki Tsuda , Keiji Matsumoto

In this paper we propose and study a general class of Gaussian Semiparametric Estimators (GSE) of the fractional differencing parameter in the context of long-range dependent multivariate time series. We establish large sample properties of…

Statistics Theory · Mathematics 2022-11-16 Guilherme Pumi , Sílvia R. C. Lopes

We propose a two-stage least squares (2SLS) estimator whose first stage is the equal-weighted average over a complete subset with $k$ instruments among $K$ available, which we call the complete subset averaging (CSA) 2SLS. The approximate…

Econometrics · Economics 2026-02-03 Seojeong Lee , Youngki Shin

In this work, we consider a multivariate regression model with one-sided errors. We assume for the regression function to lie in a general H\"{o}lder class and estimate it via a nonparametric local polynomial approach that consists of…

Statistics Theory · Mathematics 2021-02-11 Leonie Selk , Charles Tillier , Orlando Marigliano

We consider the problem of estimating the means $\mu_i$ of $n$ random variables $Y_i \sim N(\mu_i,1)$, $i=1,\ldots ,n$. Assuming some structure on the $\mu$ process, e.g., a state space model, one may use a summary statistics for the…

Statistics Theory · Mathematics 2014-06-05 E. Greenshtein , A. Mansura , Y. Ritov

We establish a general framework for statistical inferences with non-probability survey samples when relevant auxiliary information is available from a probability survey sample. We develop a rigorous procedure for estimating the propensity…

Methodology · Statistics 2018-05-17 Yilin Chen , Pengfei Li , Changbao Wu

We use bias-reduced estimators of high quantiles, of heavy-tailed distributions, to introduce a new estimator of the mean in the case of infinite second moment. The asymptotic normality of the proposed estimator is established and checked,…

Methodology · Statistics 2014-05-09 Brahim Brahimi , Djamel Meraghni , Abdelhakim Necir , Djabrane Yahia

Generalizing causal estimates in randomized experiments to a broader target population is essential for guiding decisions by policymakers and practitioners in the social and biomedical sciences. While recent papers developed various…

Methodology · Statistics 2021-11-03 Melody Huang , Naoki Egami , Erin Hartman , Luke Miratrix

Single-parameter summaries of variable effects in regression settings are desirable for ease of interpretation. However (partially) linear models for example, which would deliver these, may fit poorly to the data. On the other hand, an…

Statistics Theory · Mathematics 2025-07-28 Harvey Klyne , Rajen D. Shah

We consider inference on a scalar regression coefficient under a constraint on the magnitude of the control coefficients. A class of estimators based on a regularized propensity score regression is shown to exactly solve a tradeoff between…

Econometrics · Economics 2023-08-11 Timothy B. Armstrong , Michal Kolesár , Soonwoo Kwon

Complex biological processes are usually experimented along time among a collection of individuals. Longitudinal data are then available and the statistical challenge is to better understand the underlying biological mechanisms. The…

Statistics Theory · Mathematics 2015-06-11 Pierre Barbillon , Célia Barthélémy , Adeline Samson