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Biometrical Journal
Article . 2024 . Peer-reviewed
License: Wiley Online Library User Agreement
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Article . 2024
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https://dx.doi.org/10.48550/ar...
Article . 2022
License: CC BY
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Parametric modal regression with error in covariates

Authors: Qingyang Liu; Xianzheng Huang;

Parametric modal regression with error in covariates

Abstract

AbstractAn inference procedure is proposed to provide consistent estimators of parameters in a modal regression model with a covariate prone to measurement error. A score‐based diagnostic tool exploiting parametric bootstrap is developed to assess adequacy of parametric assumptions imposed on the regression model. The proposed estimation method and diagnostic tool are applied to synthetic data generated from simulation experiments and data from real‐world applications to demonstrate their implementation and performance. These empirical examples illustrate the importance of adequately accounting for measurement error in the error‐prone covariate when inferring the association between a response and covariates based on a modal regression model that is especially suitable for skewed and heavy‐tailed response data.

Keywords

FOS: Computer and information sciences, corrected score, beta distribution, \(M\)-estimation, Applications of statistics to biology and medical sciences; meta analysis, Methodology (stat.ME), 62J05, Computer Simulation, model misspecification, bootstrap, Statistics - Methodology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Top 10%
Average
Average
Green