Title
On the structure of reliability polynomials
Date of Award
2009
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics
Advisor(s)
Jack E. Graver
Keywords
Reliability polynomials, Convex basis, Inflection point
Subject Categories
Physical Sciences and Mathematics
Abstract
This dissertation explores a new way to look at reliability polynomials by use of a convex basis. The shape of reliability polynomials has been studied by numerous people including Moore, Shannon, Birnbaum, Esary, Saunders, and Colbourn. Colbourn posed the question, "Is it true that a reliability polynomial has at most one point of inflection in the range p ∈ (0; 1)?" This newly created convex basis allows us to consider the inflection point problem from a new viewpoint. In fact, it is used to deduce that reliability polynomials can have more than one inflection point.
Access
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Recommended Citation
Graves, Christina Marie, "On the structure of reliability polynomials" (2009). Mathematics - Dissertations. 8.
https://surface.syr.edu/mat_etd/8
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Comments
ISBN 9781109463033