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We discuss a new weighted likelihood method for parametric estimation. The method is motivated by the need for generating a simple estimation strategy which provides a robust solution that is simultaneously fully efficient when the model is…

Methodology · Statistics 2019-08-29 Suman Majumder , Adhidev Biswas , Tania Roy , Subir Kumar Bhandari , Ayanendranath Basu

In complex survey data, each sampled observation has assigned a sampling weight, indicating the number of units that it represents in the population. Whether sampling weights should or not be considered in the estimation process of model…

Methodology · Statistics 2024-09-20 Amaia Iparragirre , Irantzu Barrio , Jorge Aramendi , Inmaculada Arostegui

Surveys are commonly used to facilitate research in epidemiology, health, and the social and behavioral sciences. Often, these surveys are not simple random samples, and respondents are given weights reflecting their probability of…

Methodology · Statistics 2024-08-20 Adway S. Wadekar , Jerome P. Reiter

The inflated beta regression model is widely used for modeling continuous proportions with values at the boundaries. Maximum likelihood estimation for these models is well-known for its sensitivity to outliers, which can severely distort…

Methodology · Statistics 2026-05-15 Francisco Felipe Queiroz , Silvia Lopes de Paula Ferrari

Most multivariate outlier detection procedures ignore the spatial dependency of observations, which is present in many real data sets from various application areas. This paper introduces a new outlier detection method that accounts for a…

Methodology · Statistics 2024-01-25 Patricia Puchhammer , Peter Filzmoser

Functional quadratic regression models postulate a polynomial relationship between a scalar response rather than a linear one. As in functional linear regression, vertical and specially high-leverage outliers may affect the classical…

Methodology · Statistics 2023-05-30 Graciela Boente , Daniela Parada

This paper deals with robust marginal estimation under a general regression model when missing data occur in the response and also in some of covariates. The target is a marginal location parameter which is given through an $M-$functional.…

Often the rows (cases, objects) of a dataset have weights. For instance, the weight of a case may reflect the number of times it has been observed, or its reliability. For analyzing such data many rowwise weighted techniques are available,…

Computation · Statistics 2024-07-08 Peter J. Rousseeuw

A robust estimation framework for binary regression models is studied, aiming to extend traditional approaches like logistic regression models. While previous studies largely focused on logistic models, we explore a broader class of models…

Methodology · Statistics 2025-02-24 Kenichi Hayashi , Shinto Eguchi

We propose a fast bivariate smoothing approach for symmetric surfaces that has a wide range of applications. We show how it can be applied to estimate the covariance function in longitudinal data as well as multiple additive covariances in…

Computation · Statistics 2016-09-23 Jona Cederbaum , Fabian Scheipl , Sonja Greven

This paper proposes a new test for a change point in the mean of high-dimensional data based on the spatial sign and self-normalization. The test is easy to implement with no tuning parameters, robust to heavy-tailedness and theoretically…

Methodology · Statistics 2022-06-07 Feiyu Jiang , Runmin Wang , Xiaofeng Shao

Functional principal component analysis has been shown to be invaluable for revealing variation modes of longitudinal outcomes, which serves as important building blocks for forecasting and model building. Decades of research have advanced…

Methodology · Statistics 2024-10-07 Peijun Sang , Dehan Kong , Shu Yang

In this paper, we propose a Network-Weighted Functional Regression (NWFR) model, an extension of Spatially Weighted Functional Regression (SWFR) to functional data defined on network-structured settings. To asses predictive uncertainity, we…

Methodology · Statistics 2025-06-02 Elvira Romano , Antonio Irpino , Claire Miller

We give the cumulative distribution functions, the expected values, and the moments of weighted lattice polynomials when regarded as real functions of independent random variables. Since weighted lattice polynomial functions include…

Probability · Mathematics 2008-02-19 Jean-Luc Marichal

Functional data analysis is a fast evolving branch of statistics. Estimation procedures for the popular functional linear model either suffer from lack of robustness or are computationally burdensome. To address these shortcomings, a…

Methodology · Statistics 2021-08-27 Ioannis Kalogridis , Stefan Van Aelst

This paper proposes an adaptive penalized weighted mean regression for outlier detection of high-dimensional data. In comparison to existing approaches based on the mean shift model, the proposed estimators demonstrate robustness against…

Statistics Theory · Mathematics 2023-06-27 Jiaqi Li , Linglong Kong , Bei Jiang , Wei Tu

Pairwise comparison matrices are frequently applied in multi-criteria decision making. A weight vector is called efficient if no other weight vector is at least as good in approximating the elements of the pairwise comparison matrix, and…

Optimization and Control · Mathematics 2017-10-03 Sándor Bozóki , János Fülöp

Deep learning based models are used regularly in every applications nowadays. Generally we train a single model on a single task. However, we can train multiple tasks on a single model under multi-task learning settings. This provides us…

Machine Learning · Computer Science 2023-03-14 Aminul Huq , Mst Tasnim Pervin

We present a practical and statistically consistent scheme for actively learning binary classifiers under general loss functions. Our algorithm uses importance weighting to correct sampling bias, and by controlling the variance, we are able…

Machine Learning · Computer Science 2009-05-20 Alina Beygelzimer , Sanjoy Dasgupta , John Langford

Many data sources are naturally modeled by multiple weight assignments over a set of keys: snapshots of an evolving database at multiple points in time, measurements collected over multiple time periods, requests for resources served at…

Databases · Computer Science 2010-11-11 Edith Cohen , Haim Kaplan , Subhabrata Sen