Download or read book DISTRIBUTION THEORY FOR TESTS BASED ON THE SAMPLE DISTRIBUTION FUNCTION BASED ON LECTURES written by Conference Board of the Mathematical Sciences and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Distribution Theory for Tests Based on the Sample Distribution Function written by J. Durbin and published by SIAM. This book was released on 1973-01-01 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a coherent body of theory for the derivation of the sampling distributions of a wide range of test statistics. Emphasis is on the development of practical techniques. A unified treatment of the theory was attempted, e.g., the author sought to relate the derivations for tests on the circle and the two-sample problem to the basic theory for the one-sample problem on the line. The Markovian nature of the sample distribution function is stressed, as it accounts for the elegance of many of the results achieved, as well as the close relation with parts of the theory of stochastic processes.

Download or read book Introduction to the Theory of Distributions written by Israel Halperin and published by . This book was released on 1952 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Cahn Hilliard Equation Recent Advances and Applications written by Alain Miranville and published by SIAM. This book was released on 2019-09-09 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to present a detailed discussion of both classical and recent results on the popular Cahn–Hilliard equation and some of its variants. The focus is on mathematical analysis of Cahn–Hilliard models, with an emphasis on thermodynamically relevant logarithmic nonlinear terms, for which several questions are still open. Initially proposed in view of applications to materials science, the Cahn–Hilliard equation is now applied in many other areas, including image processing, biology, ecology, astronomy, and chemistry. In particular, the author addresses applications to image inpainting and tumor growth. Many chapters include open problems and directions for future research. The Cahn-Hilliard Equation: Recent Advances and Applications is intended for graduate students and researchers in applied mathematics, especially those interested in phase separation models and their generalizations and applications to other fields. Materials scientists also will find this text of interest.

Download or read book The Stability of Dynamical Systems written by J. P. LaSalle and published by SIAM. This book was released on 1976-01-01 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to aspects of the theory of dynamical systems based on extensions of Liapunov's direct method. The main ideas and structure for the theory are presented for difference equations and for the analogous theory for ordinary differential equations and retarded functional differential equations.

Download or read book Robust Statistical Procedures written by Peter J. Huber and published by SIAM. This book was released on 1996-01-01 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Historiographyis the essential introduction to the history of historical writing. It explains the broad philosophical background to the different historians and historical schools of the modern era. In a unique overview of modern historiography, the book includes surveys on the Enlightenment and Counter Enlightenment; Romanticism; the voice of Science and the process of secularization within Western intellectual thought; the influence of, and broadening contact with, the New World; theAnnalesschool in France; and the effects of the repression and exile of the inter-war years and the Post-War 'moods.'Modern Historiographyprovides a clear and concise account of this modern period of historical writing.

Download or read book Large Deviations and Applications written by S. R. S. Varadhan and published by SIAM. This book was released on 1984-01-31 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many situations exist in which solutions to problems are represented as function space integrals. Such representations can be used to study the qualitative properties of the solutions and to evaluate them numerically using Monte Carlo methods. The emphasis in this book is on the behavior of solutions in special situations when certain parameters get large or small.

Download or read book Sequential Analysis and Optimal Design written by Herman Chernoff and published by SIAM. This book was released on 1972-01-01 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of the interrelated fields of design of experiments and sequential analysis with emphasis on the nature of theoretical statistics and how this relates to the philosophy and practice of statistics.

Download or read book The Mathematics of Diffusion written by Wei-Ming Ni and published by SIAM. This book was released on 2011-10-13 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffusion has been used extensively in many scientific disciplines to model a wide variety of phenomena. The Mathematics of Diffusion focuses on the qualitative properties of solutions to nonlinear elliptic and parabolic equations and systems in connection with domain geometry, various boundary conditions, the mechanism of different diffusion rates, and the interaction between diffusion and spatial heterogeneity. The book systematically explores the interplay between different diffusion rates from the viewpoint of pattern formation, particularly Turing's diffusion-driven instability in both homogeneous and heterogeneous environments, and the roles of random diffusion, directed movements and spatial heterogeneity in the classical Lotka–Volterra competition systems. Interspersed throughout the book are many simple, fundamental and important open problems for readers to investigate.

Download or read book Fundamentals of Radar Imaging written by Margaret Cheney and published by SIAM. This book was released on 2009-10-08 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides mathematicians with the background they need to work in radar imaging. The focus is on showing the connection between the physics and the mathematics and on supplying an intuitive mathematical understanding of basic concepts. This book will be useful to graduate students and applied mathematicians working in radar imaging.

Download or read book The Radon Transform and Medical Imaging written by Peter Kuchment and published by SIAM. This book was released on 2014-01-01 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys the main mathematical ideas and techniques behind some well-established imaging modalities such as X-ray CT and emission tomography, as well as a variety of newly developing coupled-physics or hybrid techniques, including thermoacoustic tomography. The Radon Transform and Medical Imaging emphasizes mathematical techniques and ideas arising across the spectrum of medical imaging modalities and explains important concepts concerning inversion, stability, incomplete data effects, the role of interior information, and other issues critical to all medical imaging methods. For nonexperts, the author provides appendices that cover background information on notation, Fourier analysis, geometric rays, and linear operators. The vast bibliography, with over 825 entries, directs readers to a wide array of additional information sources on medical imaging for further study.

Download or read book Numerical Analysis of Spectral Methods written by David Gottlieb and published by SIAM. This book was released on 1977-01-01 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.

Download or read book A Unified Approach to Boundary Value Problems written by Athanassios S. Fokas and published by SIAM. This book was released on 2008-01-01 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a new approach to analysing initial-boundary value problems for integrable partial differential equations.

Download or read book Mathematical Biofluiddynamics written by James Lighthill and published by SIAM. This book was released on 1975-01-01 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addresses external biofluiddynamics concerning animal locomotion and internal biofluiddynamics concerning heat and mass transport.

Download or read book Weak Convergence of Measures written by Patrick Billingsley and published by SIAM. This book was released on 1971-06-01 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: A treatment of the convergence of probability measures from the foundations to applications in limit theory for dependent random variables. Mapping theorems are proved via Skorokhod's representation theorem; Prokhorov's theorem is proved by construction of a content. The limit theorems at the conclusion are proved under a new set of conditions that apply fairly broadly, but at the same time make possible relatively simple proofs.

Download or read book Techniques of Differential Topology in Relativity written by Roger Penrose and published by SIAM. This book was released on 1972-06-01 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acquaints the specialist in relativity theory with some global techniques for the treatment of space-times and will provide the pure mathematician with a way into the subject of general relativity.

Download or read book Conjugate Duality and Optimization written by R. Tyrrell Rockafellar and published by SIAM. This book was released on 1974-01-01 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of duality in problems of optimization is developed in a setting of finite and infinite dimensional spaces using convex analysis. Applications to convex and nonconvex problems. Expository account containing many new results. (Author).