New Statistical Residuals for Regression Models in the Exponential Family: Characterization, Simulation, Computation, and Applications

New Statistical Residuals for Regression Models in the Exponential Family: Characterization, Simulation, Computation, and Applications

Residuals are essential in regression analysis for evaluating model adequacy, validating assumptions, and detecting outliers or influential data. While traditional residuals perform well in linear regression, they face limitations in exponential family models, such as those based on the binomial and...

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Bibliographic Details
Main Authors: Raydonal Ospina, Patrícia L. Espinheira, Leilo A. Arias, Cleber M. Xavier, Víctor Leiva, Cecilia Castro
Format: Article
Language:English
Published: MDPI AG 2024-10-01
Series:Mathematics
Subjects:
advanced residual analysis
computational efficiency
exponential family models
Fisher scoring
mean and dispersion integration
model adequacy
Online Access:https://www.mdpi.com/2227-7390/12/20/3196
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