Date of Award

8-1-2022

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Olive, David

Abstract

Data splitting divides the training data set into two sets H and the validation set V.Data splitting can give valid inference for complicated data sets. We suggest a data split- ting prediction region and a sequential data splitting method for lasso variable selection that can be used for multiple linear regression, Poisson regression, Binomial regression, and the Cox proportional hazards regression model with right censored survival times.

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