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Full-Text Articles in Physical Sciences and Mathematics
Principal Component Regression For Construction Of Wing Weight Estimation Models, Humberto Rocha
Principal Component Regression For Construction Of Wing Weight Estimation Models, Humberto Rocha
Mathematics & Statistics Theses & Dissertations
The multivariate data fitting problem occurs frequently in many branches of science and engineering. It is very easy to fit a data set exactly by a mathematical model no matter how the data points are distributed. But building a response by using a limited number of poorly distributed data points is very unreliable, yet necessary in conceptual design process. This thesis documents the lessons learned from fitting the wing weight data of 41 subsonic transports by three types of interpolation methods---least polynomial interpolation, radial basis function interpolation, and Kriging interpolation. The objective of this thesis is to develop an automatic …
Statistical Analysis Of Longitudinal And Multivariate Discrete Data, Deepak Mav
Statistical Analysis Of Longitudinal And Multivariate Discrete Data, Deepak Mav
Mathematics & Statistics Theses & Dissertations
Correlated multivariate Poisson and binary variables occur naturally in medical, biological and epidemiological longitudinal studies. Modeling and simulating such variables is difficult because the correlations are restricted by the marginal means via Fréchet bounds in a complicated way. In this dissertation we will first discuss partially specified models and methods for estimating the regression and correlation parameters. We derive the asymptotic distributions of these parameter estimates. Using simulations based on extensions of the algorithm due to Sim (1993, Journal of Statistical Computation and Simulation, 47, pp. 1–10), we study the performance of these estimates using infeasibility, coverage probabilities of the …
The Straggling Green's Function Method For Ion Transport, Steven Andrew Walker
The Straggling Green's Function Method For Ion Transport, Steven Andrew Walker
Mathematics & Statistics Theses & Dissertations
For many years work has been conducted on developing a concise theory and method for HZE ion transport capable of being validated in the laboratory. Previous attempts have ignored dispersion and energy downshift associated with nuclear fragmentation and energy and range straggling. Here we present a Green's function approach to ion transport that incorporates these missing elements. This work forms the basis for a new version of GRNTRN, a Green's function transport code. Comparisons of GRNTRN predictions and laboratory results for an 56Fe ion beam with average energy at the target of one GeV/amu or more are presented for …