Term of Award

Spring 2016

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (open access)

Copyright Statement / License for Reuse

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.

Department

Department of Mathematical Sciences

Committee Chair

Tharanga Wickramarachchi

Committee Member 1

Patricia Humphrey

Committee Member 2

Arpita Chatterjee

Committee Member 3

Stephen Carden

Committee Member 3 Email

scarden@georgiasouthern.edu

Abstract

Typical General Autoregressive Conditional Heteroskedastic (GARCH) processes involve normally-distributed errors, and they model strictly-positive error processes poorly. This thesis will present a method for estimating the parameters of a GARCH(1,1) process with shifted Gamma-distributed errors, conduct a simulation study to test the method, and apply the method to real time series data.

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