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Physical Sciences and Mathematics Commons™
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- Distribution (Probability theory)<br />Mathematical statistics -- Computer simulation (1)
- Functions, Continuous<br />Rings (Algebra)<br />Functional analysis<br />Analytic functions (1)
- Topological spaces<br />Functions<br />Topological algebras (1)
- Visual fields -- Measurement<br />Visual pathways -- Computer simulation<br />Visual pathways -- Mathematical models<br />Perimetry (1)
Articles 1 - 4 of 4
Full-Text Articles in Physical Sciences and Mathematics
Some Statistical Inferences For The Bivariate Exponential Distribution, Bruce Mohr Bemis
Some Statistical Inferences For The Bivariate Exponential Distribution, Bruce Mohr Bemis
Doctoral Dissertations
"The bivariate exponential distribution is neither absolutely continuous nor discrete due to the property that there is a positive probability that the two random variables may be equal. Basic properties of the distribution are presented as well as methods of parameter estimation including maximum likelihood. The distribution is shown to satisfy the usual regularity conditions in spite of its possession of a singularity. The maximum likelihood estimates are asymptotically efficient. Two other methods of estimation are compared with the maximum likelihood method in terms of efficiency. Tests of the hypothesis that two random variables each have independent exponential distributions versus …
Special Subrings Of Real, Continuous Functions, Paul Marlin Harms
Special Subrings Of Real, Continuous Functions, Paul Marlin Harms
Doctoral Dissertations
"Some lattice-ordered subrings of C(X) containing C*(X) are examined where X is a completely regular space. Each realcompact spaceY between [v]x and ßx is associated with a lattice-ordered subring of C(X) which is isomorphic to C(Y) and contains C*(X). The cardinal number of (ßX - [v]X) is a lower bound for the cardinal number of these subrings. Every prime ideal in each of these subrings is comparable with the intersection of the subring and a maximal ideal in C(X). The structure space of maximal ideals is studied for special subrings in C(X) containing CK(X), the continuous functions of …
Characterizing Topologies By Classes Of Functions And Multifunctions, Alexander Hamlin Cramer
Characterizing Topologies By Classes Of Functions And Multifunctions, Alexander Hamlin Cramer
Doctoral Dissertations
"Topological spaces are characterized by the algebraic and topological structures of their classes of continuous selfmaps. The problem of determining the topology of a set given certain classes of multifunctions or relations is considered. The algebraic structure of the upper semicontinuous multifunctions is shown to determine the topology of T₁ spaces. A partial order for classes of topologies for the real numbers is defined and relationships between various classes are established"--Abstract, page ii.
Modeling The Visual Pathway For Interactive Diagnosis Of Visual Fields, Chiam Geoffrey Goldbogen
Modeling The Visual Pathway For Interactive Diagnosis Of Visual Fields, Chiam Geoffrey Goldbogen
Doctoral Dissertations
"Visual fields are an important tool for the ophthalmologist in the detection, diagnosis, and monitoring of certain diseases and maladies of the visual pathway. The aim of the present research is to build a computer system which utilizes a learning machine to develop a mathematical model of the visual pathway. It is hoped that this system may be used in the field of ophthalmology as a teaching aid, or may assist in various aspects of diagnosis. Faults corresponding to blind or impaired areas of visual fields are extracted from medical records of a patient's condition. The structure of the model …