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Limit Theorems for Random Fields with Singular Spectrum
This book presents limit theorems for nonlinear functionals of random fields with singular spectrum on the basis of various asymptotic expansions. The first chapter treats basic concepts of the spectral theory of random fields, some important examples of random processes and fields with singular spectrum, and Tauberian and Abelian theorems for covariance function of long-memory random fields. Chapter 2 is devoted to limit theorems for spherical averages of nonlinear transformations of Gaussian and chi-square random fields. Chapter 3 summarises some limit theorems for geometric type functionals of random fields. Limit theorems for the solutions of Burgers' equation with random data via parabolic and hyperbolic rescaling are demonstrated in Chapter 4. Lastly, Chapter 5 deals with some problems for statistical analysis of random fields with singular spectrum. Audience: This book will be of interest to mathematicians who use random fields in engineering or other applications.
Izvestiya
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U.S.S.R.
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Radiobiology
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Bioinformatics in Human Health and Heredity
The field of statistics not only affects all areas of scientific activity, but also many other matters such as public policy. It is branching rapidly into so many different subjects that a series of handbooks is the only way of comprehensively presenting the various aspects of statistical methodology, applications, and recent developments. The Handbook of Statistics, a series of self-contained reference books. Each volume is devoted to a particular topic in statistics with Volume 28 dealing with bioinformatics. Every chapter is written by prominent workers in the area to which the volume is devoted. The series is addressed to the entire community of statisticians and scientists in various disciplines who use statistical methodology in their work. At the same time, special emphasis is placed on applications-oriented techniques, with the applied statistician in mind as the primary audience. Comprehensively presents the various aspects of statistical methodology Discusses a wide variety of diverse applications and recent developments Contributors are internationally renowned experts in their respective areas
In-Silico Approaches to Macromolecular Chemistry
Computational approaches offer researchers unique insights into the structure, characteristics, and properties of macromolecules. However, with applications across a broad range of areas, various methods have been developed for exploring macromolecules in in silico; therefore, it can be difficult for researchers to select the most appropriate method for their specific needs. Covering both biopolymers and synthetic polymers, In-Silico Approaches to Macromolecular Chemistry familiarizes readers with the theoretical tools and software appropriate for such studies. In addition to providing essential background knowledge on both computational tools and macromolecules, the book presents in-depth s...
