Date of Award:
5-1991
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Committee Chair(s)
Richard Cutler
Committee
Richard Cutler
Committee
Adele Cutler
Committee
Robert Heal
Abstract
The beta distribution may be used as a stochastic model for continuous proportions in many situations in applied statistics. This thesis was concerned with estimation of the parameters of the beta distribution in three different situations.
Three different estimation procedures-the method of moments, maximum likelihood, and a hybrid of these two methods, which we call the one-step improvement-were compared by computer simulation, for beta data and beta data contaminated by zeros and ones. We also evaluated maximum likelihood estimation in the context of censored data, and Newton's method as a numerical procedure for solving the likelihood equations for censored beta data.
Checksum
db46b045673c4ea6198c38efffca0dd0
Recommended Citation
Yan, Huey, "A Comparison of Estimation Procedures for the Beta Distribution" (1991). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 7126.
https://digitalcommons.usu.edu/etd/7126
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