Date of Award
8-2014
Degree Name
Doctor of Philosophy
Department
Mathematics
First Advisor
Bhattacharya, Bhaskar
Second Advisor
Olive, David
Third Advisor
Ban, Dubravka
Abstract
Regression analysis constitutes a large portion of the statistical repertoire in applications. In case where such analysis is used for exploratory purposes with no previous knowledge of the structure one would not wish to impose any constraints on the problem. But in many applications we are interested in a simple parametric model to describe the structure of a system with some prior knowledge of the structure. An important example of this occurs when the experimenter has the strong belief that the regression function changes monotonically in some or all of the predictor variables in a region of interest. The analyses needed for statistical inference under such constraints are nonstandard. The specific aim of this study is to introduce a technique which can be used for statistical inferences of a multivariate simple regression with some non-standard constraints.
Maple commands for graphs
sigmaknown.f90 (3 kB)
FORTRAN program for critical values (sigma known)
sigmaunknown1.f90 (4 kB)
Access
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