This is the first comprehensive, yet clearly presented, account of statistical methods for analysing spherical data. The analysis of data, in the form of directions in space or of positions of points on a spherical surface, is required in many contexts in the earth sciences, astrophysics and other fields, yet the methodology required is disseminated throughout the literature. Statistical Analysis of Spherical Data aims to present a unified and up-to-date account of these methods for practical use. The emphasis is on applications rather than theory, with the statistical methods being illustrated throughout the book by data examples.

A unified, up-to-date account of circular data-handling techniques, useful throughout science.

The latest in this series of Oberwolfach conferences focussed on the interplay between structural probability theory and various other areas of pure and applied mathematics such as Tauberian theory, infinite-dimensional rotation groups, central limit theorems, harmonizable processes, and spherical data. Thus it was attended by mathematicians whose research interests range from number theory to quantum physics in conjunction with structural properties of probabilistic phenomena. This volume contains 5 survey articles submitted on special invitation and 25 original research papers.

No detailed description available for "Multivariate Statistics and Matrices in Statistics".

Provides timely applications, modifications, and extensions of experimental designs for a variety of disciplines Design and Analysis of Experiments, Volume 3: Special Designs and Applications continues building upon the philosophical foundations of experimental design by providing important, modern applications of experimental design to the many fields that utilize them. The book also presents optimal and efficient designs for practice and covers key topics in current statistical research. Featuring contributions from leading researchers and academics, the book demonstrates how the presented concepts are used across various fields from genetics and medicinal and pharmaceutical research to manufacturing, engineering, and national security. Each chapter includes an introduction followed by the historical background as well as in-depth procedures that aid in the construction and analysis of the discussed designs. Topical coverage includes: Genetic cross experiments, microarray experiments, and variety trials Clinical trials, group-sequential designs, and adaptive designs Fractional factorial and search, choice, and optimal designs for generalized linear models Computer experiments with applications to homeland security Robust parameter designs and split-plot type response surface designs Analysis of directional data experiments Throughout the book, illustrative and numerical examples utilize SAS®, JMP®, and R software programs to demonstrate the discussed techniques. Related data sets and software applications are available on the book's related FTP site. Design and Analysis of Experiments, Volume 3 is an ideal textbook for graduate courses in experimental design and also serves as a practical, hands-on reference for statisticians and researchers across a wide array of subject areas, including biological sciences, engineering, medicine, and business.

Published by the American Geophysical Union as part of the Computational Seismology and Geodynamics Series, Volume 8. The American Geophysical Union (AGU) and the Editorial Board of Computational Seismology and Geodynamics (CSG) are happy to present the eighth volume of CSG. This volume contains 19 selected, translated, and reviewed articles of volumes 33 and 34 of Vychislitel'naya Seismologiya (VS), which deal with seismicity and seismic hazard, forward and inverse problems in seismology, geodynamics, geomagnetism, and self-organized criticality. The Russian annual journal Vychislitel'naya Seysmologiya was established in 1966 by Volodya Keilis-Borok, one of most eminent geophysicists of our time, as a media for publication of the best results in the theoretical, computational and mathematical seismology. For a short period of time the journal had become a prominent and known among mathematical geophysicists around the world. In 1970s the journal began to publish also articles related to non-linear dynamics and earthquake prediction and later to computational geodynamics. Many distinguished seismologists, geophysicists, and mathematicians, like G. Barenblatt, A. Dziewonski, I. Gelfand, H. Huppert, H. Kanamori, L. Kantorovich, L. Knopoff, F. Press, D. Turcotte, and others, published their research articles in VS. Twenty-one volumes of the journal were translated and published by Allerton Press, USA. Since 1994 AGU agreed to publish selected and peer-reviewed articles in volumes entitled CSG. Volume 1 (159 pp.) 1994 selected articles from Volumes 22 & 23 Volume 2 (188 pp.) 1994 selected articles from Volumes 24 & 25 Volume 3 (236 pp.) 1996 selected articles from Volumes 26 & 27 Volume 4 (200 pp.) 1999 selected articles from Volumes 28 & 29 Volume 5 (132 pp.) 2003 selected articles from Volume 30 Volume 6 (102 pp.) 2004 selected articles from Volume 31 Volume 7 (250 pp.) 2005 selected articles from Volume 32 Volume 8 (186 pp.) 2008 selected articles from Volumes 33 & 34

Bringing together relevant statistical and probabilistic techniques, a practical manual for advanced undergraduate and graduate students and professional astronomers.

The 23 papers report recent developments in using the technique to help clarify the relationship between phenomena and data in a number of natural and social sciences. Among the topics are a coordinate-free approach to multivariate exponential families, some rank-based hypothesis tests for covariance structure and conditional independence, deconvolution density estimation on compact Lie groups, random walks on regular languages and algebraic systems of generating functions, and the extendibility of statistical models. There is no index. c. Book News Inc.

This textbook is designed for graduate students in mathematics, physics, engineering, and computer science. Its purpose is to guide the reader in exploring contemporary approximation theory. The emphasis is on multi-variable approximation theory, i.e., the approximation of functions in several variables, as opposed to the classical theory of functions in one variable. Most of the topics in the book, heretofore accessible only through research papers, are treated here from the basics to the currently active research, often motivated by practical problems arising in diverse applications such as science, engineering, geophysics, and business and economics. Among these topics are projections, interpolation paradigms, positive definite functions, interpolation theorems of Schoenberg and Micchelli, tomography, artificial neural networks, wavelets, thin-plate splines, box splines, ridge functions, and convolutions. An important and valuable feature of the book is the bibliography of almost 600 items directing the reader to important books and research papers. There are 438 problems and exercises scattered through the book allowing the student reader to get a better understanding of the subject.