Date of Award

5-2019

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematical Sciences

Committee Member

Peter C. Kiessler, Committee Chair

Abstract

Consider a device or structure whose lifetime under perfect conditions follows a distribution determined by a hazard function. In a perfect world, the distribution of the device is already known, but suppose environmental conditions are imposed. We consider a model where the device is subjected to a series of shocks that are determined by a point process, but allow for the shocks to leave a residual effect as time goes on. Furthermore, we would also allow for the hazard function to have an effect on the intensity function of the point process. We are interested in the effects of this on the original lifetime distribution, as well as performing estimation and inference using this model.

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