Acknowledgements I'd like to express my deep gratitude to my Ph.D. advisers Professors James Lepowsky and Robert Wilson for their insightful advice, constant encouragement, and interesting lectures. Being one of their students, I have learned from them not only mathematics but also English writing. I am grateful to Professor Chongying Dong for many stimulating discussions and for helpful advice...

The HL-A antigen W.27 has been found in 88 to 96% of patients with ankylosing spondylitis (Brewerton, Caffrey, Hart, James, Nicholls, and Sturrock, 1973a; Caffrey and James, 1973; Schlosstein, Terasaki, Bluestone, and Pearson, 1973). More recently a high frequency of W.27 has been reported in Reiter's syndrome (Brewerton, Caffrey, Nicholls, Walters, Oates, and James, 1973c), acute anterior uvei...

We explore the extension of James-Stein type estimators in a direction that enables them to preserve their superiority when the sample size goes to infinity. Instead of shrinking a base estimator towards a fixed point, we shrink it towards a data-dependent point, which makes it possible that the “prior” becomes more accurate as the sample size grows. We provide an analytic expression for the as...

We explore the extension of James-Stein type estimators in a direction that enables them to preserve their superiority when the sample size goes to infinity. Instead of shrinking a base estimator towards a fixed point, we shrink it towards a data-dependent point. We provide an analytic expression for the asymptotic risk and bias of James-Stein type estimators shrunk towards a data-dependent poi...

Hypomyelinating leukodystrophies: Translational research progress and prospects. pg. 5-19 Pouwels, Petra J. W. PhD 1; Vanderver, Adeline MD 2; Bernard, Genevieve MD, MSc, FRCPC 3; Wolf, Nicole I. MD, PhD 4; Dreha-Kulczewksi, Steffi F. MD 5; Deoni, Sean C. L. PhD 6; Bertini, Enrico MD, PhD 7; Kohlschutter, Alfried MD 8; Richardson, William FMedSci, FRS 9; ffrench-Constant, Charles PhD 9; Kohler,...

It was shown by James Tung in 2005 that if a sequence Z = {zn} of points in the complex plane satisfies inf n6=m |zn − zm| > 2/ √ α, then Z is a sequence of interpolation for the Fock space F p α . Using results from circle packing, we show that the constant above can be improved to √ 2π/( √ 3α), which is strictly smaller than 2/ √ α. A similar result will also be obtained for sampling sequences.

Solar chimney power plants are plants based on solar thermal power including three parts of collector, chimney and turbine, which is able to produce electrical energy. One of the effective parameters in increasing the power production is the collector angles versus horizon. In the present study, a numerical analysis of a solar chimney power plant for different angles of the collector (divergent...

We explore the extension of James-Stein type estimators in a direction that enables them to preserve their superiority when the sample size goes to infinity. Instead of shrinking a base estimator towards a fixed point, we shrink it towards a data-dependent point. We provide an analytic expression for the asymptotic risk and bias of James-Stein type estimators shrunk towards a data-dependent poi...

This paper is written for the course apm426S, taught by James Colliander in Spring 2002, University of Toronto. It gives an introduction to cosmology, concentrating on the effects of the cosmological constant Λ in the context of isotropic and homogeneous universe. Solutions to the Einstein’s equation with and without Λ are carefully derived, analyzed and compared. Some current problems with Λ a...