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Normal Approximation and Asymptotic Expansions
-Fourier analysis, --
Stein's Method And Applications
Stein's startling technique for deriving probability approximations first appeared about 30 years ago. Since then, much has been done to refine and develop the method, but it is still a highly active field of research, with many outstanding problems, both theoretical and in applications. This volume, the proceedings of a workshop held in honour of Charles Stein in Singapore, August 2003, contains contributions from many of the mathematicians at the forefront of this effort. It provides a cross-section of the work currently being undertaken, with many pointers to future directions. The papers in the collection include applications to the study of random binary search trees, Brownian motion on manifolds, Monte-Carlo integration, Edgeworth expansions, regenerative phenomena, the geometry of random point sets, and random matrices.
Applications of Linear and Nonlinear Models
This book provides numerous examples of linear and nonlinear model applications. Here, we present a nearly complete treatment of the Grand Universe of linear and weakly nonlinear regression models within the first 8 chapters. Our point of view is both an algebraic view and a stochastic one. For example, there is an equivalent lemma between a best, linear uniformly unbiased estimation (BLUUE) in a Gauss–Markov model and a least squares solution (LESS) in a system of linear equations. While BLUUE is a stochastic regression model, LESS is an algebraic solution. In the first six chapters, we concentrate on underdetermined and overdetermined linear systems as well as systems with a datum defect...
Algebraic and Analytic Methods in Representation Theory
This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike.Presents several different points of view on key topics in representation theory, from internationally known experts in the field
Radar Meteorology
As we all know, weather radar came into existence during the Second World War when aircraft detection radars had their vision limited by echoes from rain bearing clouds. What was often considered to be of nuisance value by the air force personnel trying to locate enemy aircraft was seen as an opportunity by the weather men. Thus adversity in one field was converted into an opportunity in another. Since then weather radar has found myriad applications with the increased sophistication of technology and processing systems. It has now become an indispensable tool for the operational forecasters, cloud physicists and atmospheric scientists. The current generation radar is but a distant echo of t...
Haematococcus
This book offers a comprehensive analysis of microalgal cultivation methods and optimization of astaxanthin production for various applications, including clinical uses, algae polymers, proteins and pigments, food applications and packaging, algae forming, cosmetics, and more. Microalgae are unicellular living forms and are the primary producers that play a major role in the ecosystem. Commercially, while many documents are available, some recent fields are yet to be explored. The book comprises 19 chapters contributed by experts and reviews the recent developments in the cultivation, harvest, and genetic engineering of H. pluvialis-derived astaxanthin. It also discusses their bottlenecks and challenges in commercial-scale production, as well as current and prospective global market. Current research supports the exploration of new topics and practical applications of microalgae and their products, which will also benefit academia. The book will be an important resource for researchers and industry, providing comprehensive knowledge on broad topics. Flow charts, updated methods, and colour images are included to help the readers' understanding.
On Stability and Endoscopic Transfer of Unipotent Orbital Integrals on $p$-adic Symplectic Groups
The invariant integrals of spherical functions over certain infinite families of unipotent orbits in symplectic groups over a p-adic field of characteristic zero are explicitly calculated. The results are then put into a conjectural framework that predicts for split classical groups which linear combinations of unipotent orbital integrals are stable distributions. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Empirical Processes with Applications to Statistics
Originally published in 1986, this valuable reference provides a detailed treatment of limit theorems and inequalities for empirical processes of real-valued random variables; applications of the theory to censored data, spacings, rank statistics, quantiles, and many functionals of empirical processes, including a treatment of bootstrap methods; and a summary of inequalities that are useful for proving limit theorems. At the end of the Errata section, the authors have supplied references to solutions for 11 of the 19 Open Questions provided in the book's original edition. Audience: researchers in statistical theory, probability theory, biostatistics, econometrics, and computer science.
