Date of Award

5-1-2023

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Olive, David

Abstract

This paper gives large sample theory for some ridge-type multiple linear regressionestimators, including Liu-type regression estimators, when the number of predictors is fixed, as well as prediction intervals for censored data from some parametric models, which could be practically applied in the field of actuarial science.KEY WORDS: Ridge Regression, Liu-Type Regression Estimator, Predictive Distribution,Shorth, Life Contingencies.

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