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Author: Pranab Kumar Sen
Publisher: SIAM
ISBN: 9781611970210
Category : Mathematics
Languages : en
Pages : 106
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Book Description
A study of sequential nonparametric methods emphasizing the unified Martingale approach to the theory, with a detailed explanation of major applications including problems arising in clinical trials, life-testing experimentation, survival analysis, classical sequential analysis and other areas of applied statistics and biostatistics.
Author: Pranab Kumar Sen
Publisher: SIAM
ISBN: 9781611970210
Category : Mathematics
Languages : en
Pages : 106
Get Book Here
Book Description
A study of sequential nonparametric methods emphasizing the unified Martingale approach to the theory, with a detailed explanation of major applications including problems arising in clinical trials, life-testing experimentation, survival analysis, classical sequential analysis and other areas of applied statistics and biostatistics.
Author: Pranab Kumar Sen
Publisher: SIAM
ISBN: 0898710510
Category : Mathematics
Languages : en
Pages : 106
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Book Description
A study of sequential nonparametric methods emphasizing the unified Martingale approach to the theory, with a detailed explanation of major applications including problems arising in clinical trials, life-testing experimentation, survival analysis, classical sequential analysis and other areas of applied statistics and biostatistics.
Author: Michael Woodroofe
Publisher: SIAM
ISBN: 9781611970302
Category : Technology & Engineering
Languages : en
Pages : 124
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Book Description
The global approach to nonlinear renewal theory is integrated with the author's own local approach. Both the theory and its applications are placed in perspective by including a discussion of the linear renewal theorem and its applications to the sequential probability ratio test. Applications to repeated significance tests, to tests with power one, and to sequential estimation are also included. The monograph is self-contained for readers with a working knowledge of measure-theoretic probability and intermediate statistical theory.
Author: Alain Miranville
Publisher: SIAM
ISBN: 1611975921
Category : Mathematics
Languages : en
Pages : 231
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Book Description
This is the first book to present a detailed discussion of both classical and recent results on the popular CahnHilliard equation and some of its variants. The focus is on mathematical analysis of CahnHilliard 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 CahnHilliard 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.
Author: Athanassios S. Fokas
Publisher: SIAM
ISBN: 089871706X
Category : Mathematics
Languages : en
Pages : 328
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Book Description
This text presents a new approach to analysing initial-boundary value problems for integrable partial differential equations.
Author: Irena Lasiecka
Publisher: SIAM
ISBN: 0898714869
Category : Mathematics
Languages : en
Pages : 248
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Book Description
Concentrates on systems of hyperbolic and parabolic coupled PDEs that are nonlinear, solve three key problems.
Author: Zhangxin Chen
Publisher: SIAM
ISBN: 0898716403
Category : Mathematics
Languages : en
Pages : 243
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Book Description
This book covers and expands upon material presented by the author at a CBMS-NSF Regional Conference during a ten-lecture series on multiphase flows in porous media and their simulation. It begins with an overview of classical reservoir engineering and basic reservoir simulation methods and then progresses through a discussion of types of flows—single-phase, two-phase, black oil (three-phase), single phase with multicomponents, compositional, and thermal. The author provides a thorough glossary of petroleum engineering terms and their units, along with basic flow and transport equations and their unusual features, and corresponding rock and fluid properties. The practical aspects of reservoir simulation, such as data gathering and analysis, selection of a simulation model, history matching, and reservoir performance prediction, are summarized. Audience This book can be used as a text for advanced undergraduate and first-year graduate students in geology, petroleum engineering, and applied mathematics; as a reference book for geologists, petroleum engineers, and applied mathematicians; or as a handbook for practitioners in the oil industry. Prerequisites are calculus, basic physics, and some knowledge of partial differential equations and matrix algebra.Contents List of Figures; List of Tables; List of Notation; Preface; Introduction; Chapter 1: A Glossary of Petroleum Terms; Chapter 2: Single-Phase Flow and Numerical Solution; Chapter 3: Well Modeling; Chapter 4: Two-Phase Flow and Numerical Solution; Chapter 5: The Black Oil Model and Numerical Solution; Chapter 6: Transport of Multicomponents in a Fluid and Numerical Solution; Chapter 7: Compositional Flow and Numerical Solution; Chapter 8: Nonisothermal Flow and Numerical Solution; Chapter 9: Practical Topics in Reservoir Simulation; Bibliography; Index.
Author: A. K. Md. Ehsanes Saleh
Publisher: John Wiley & Sons
ISBN: 0471773743
Category : Mathematics
Languages : en
Pages : 656
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Book Description
Theory of Preliminary Test and Stein-Type Estimation with Applications provides a com-prehensive account of the theory and methods of estimation in a variety of standard models used in applied statistical inference. It is an in-depth introduction to the estimation theory for graduate students, practitioners, and researchers in various fields, such as statistics, engineering, social sciences, and medical sciences. Coverage of the material is designed as a first step in improving the estimates before applying full Bayesian methodology, while problems at the end of each chapter enlarge the scope of the applications. This book contains clear and detailed coverage of basic terminology related to various topics, including: * Simple linear model; ANOVA; parallelism model; multiple regression model with non-stochastic and stochastic constraints; regression with autocorrelated errors; ridge regression; and multivariate and discrete data models * Normal, non-normal, and nonparametric theory of estimation * Bayes and empirical Bayes methods * R-estimation and U-statistics * Confidence set estimation
Author: Herbert S. Wilf
Publisher: SIAM
ISBN: 0898712319
Category : Mathematics
Languages : en
Pages : 49
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Book Description
Covers key recent advances in combinatorial algorithms.
Author: H. F. Weinberger
Publisher: SIAM
ISBN: 9781611970531
Category : Mathematics
Languages : en
Pages : 165
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Book Description
Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators.
