TESTING POISSON REGRESSION AND RELATED MODELS WITH THE ONE COMPONENT PARTIAL LEAST SQUARES ESTIMATOR
Date of Award
8-1-2025
Degree Name
Doctor of Philosophy
Department
Mathematics
First Advisor
Olive, David
Abstract
Poisson regression, negative binomial regression, and related regression methods are often used when the response variable is a count. A log transformation often results in a linear model with heterogeneity. Then testing can be done with the one component partial least squares estimator for multiple linear regression, including some high dimensional tests. For prediction, a simple method that uses information from several estimators, is also considered.
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