Portland State University. Department of Mathematics and Statistics
Steven A. Bleiler
Date of Award
Doctor of Philosophy (Ph.D.) in Mathematical Sciences
Mathematics and Statistics
1 online resource (xi, 267 p.) : ill. (some col.)
Random variables -- Mathematical models, Programming (Mathematics), Mathematical models
This dissertation is motivated by the problem of uncertainty and sensitivity in business- class models such as the carbon emission abatement policy model featured in this work. Uncertain model inputs are represented by numerical random variables and a computational methodology is developed to numerically compute business-class models as if sharp inputs were given. A new description for correlation of random variables is presented that arises spontaneously within a numerical model. Methods of numerically computing correlated random variables are implemented in software and represented. The major contribution of this work is a methodology for the numerical computation of models under uncertainty that expresses no preference for unlikelihood of model input combinations. The methodology presented here serves a sharp contrast to traditional Monte Carlo methods that implicitly equate likelihood of model input values with importance of results. The new methodology herein shifts the computational burden from likelihood of inputs to resolution of input space.
Fielden, Thomas Robert, "Modeling Market and Regulatory Mechanisms for Pollution Abatement with Sharp and Random Variables" (2011). Dissertations and Theses. Paper 282.