Jose E. Castillo's Books

Mimetic Discretization Methods

By: Jose E. Castillo,Guillermo F. Miranda

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Mimetic Discretization Methods

By: Jose E. Castillo,Guillermo F. Miranda

To help solve physical and engineering problems, mimetic or compatible algebraic discretization methods employ discrete constructs to mimic the continuous identities and theorems found in vector calculus. Mimetic Discretization Methods focuses on the recent mimetic discretization method co-developed by the first author. Based on the Castillo-Grone operators, this simple mimetic discretization method is invariably valid for spatial dimensions no greater than three. The book also presents a numerical method for obtaining corresponding discrete operators that mimic the continuum differential and flux-integral operators, enabling the same order of accuracy in the interior as well as the domain boundary. After an overview of various mimetic approaches and applications, the text discusses the use of continuum mathematical models as a way to motivate the natural use of mimetic methods. The authors also offer basic numerical analysis material, making the book suitable for a course on numerical methods for solving PDEs. The authors cover mimetic differential operators in one, two, and three dimensions and provide a thorough introduction to object-oriented programming and C++. In addition, they describe how their mimetic methods toolkit (MTK)—available online—can be used for the computational implementation of mimetic discretization methods. The text concludes with the application of mimetic methods to structured nonuniform meshes as well as several case studies. Compiling the authors’ many concepts and results developed over the years, this book shows how to obtain a robust numerical solution of PDEs using the mimetic discretization approach. It also helps readers compare alternative methods in the literature.

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Page Count

261

Publisher

CRC Press

Published Date

ISBN 10

1466513438

ISBN 13

9781466513433

Bayesian Cost-Effectiveness Analysis of Medical Treatments

By: Elias Moreno,Francisco Jose Vazquez-Polo,Miguel Angel Negrín-Hernández

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Bayesian Cost-Effectiveness Analysis of Medical Treatments

By: Elias Moreno,Francisco Jose Vazquez-Polo,Miguel Angel Negrín-Hernández

Cost-effectiveness analysis is becoming an increasingly important tool for decision making in the health systems. Cost-Effectiveness of Medical Treatments formulates the cost-effectiveness analysis as a statistical decision problem, identifies the sources of uncertainty of the problem, and gives an overview of the frequentist and Bayesian statistical approaches for decision making. Basic notions on decision theory such as space of decisions, space of nature, utility function of a decision and optimal decisions, are explained in detail using easy to read mathematics. Features Focuses on cost-effectiveness analysis as a statistical decision problem and applies the well-established optimal statistical decision methodology. Discusses utility functions for cost-effectiveness analysis. Enlarges the class of models typically used in cost-effectiveness analysis with the incorporation of linear models to account for covariates of the patients. This permits the formulation of the group (or subgroup) theory. Provides Bayesian procedures to account for model uncertainty in variable selection for linear models and in clustering for models for heterogeneous data. Model uncertainty in cost-effectiveness analysis has not been considered in the literature. Illustrates examples with real data. In order to facilitate the practical implementation of real datasets, provides the codes in Mathematica for the proposed methodology. The motivation for the book is to make the achievements in cost-effectiveness analysis accessible to health providers, who need to make optimal decisions, to the practitioners and to the students of health sciences. Elías Moreno is Professor of Statistics and Operational Research at the University of Granada, Spain, Corresponding Member of the Royal Academy of Sciences of Spain, and elect member of ISI. Francisco José Vázquez-Polo is Professor of Mathematics and Bayesian Methods at the University of Las Palmas de Gran Canaria, and Head of the Department of Quantitative Methods. Miguel Ángel Negrín is Senior Lecturer in the Department of Quantitative Methods at the ULPGC. His main research topics are Bayesian methods applied to Health Economics, economic evaluation and cost-effectiveness analysis, meta-analysis and equity in the provision of healthcare services.

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Page Count

284

Publisher

CRC Press

Published Date

ISBN 10

1351744372

ISBN 13

9781351744379

Conditionally Specified Distributions

By: Barry C. Arnold,Enrique Castillo,Jose-Maria Sarabia Alegria

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Conditionally Specified Distributions

By: Barry C. Arnold,Enrique Castillo,Jose-Maria Sarabia Alegria

The concept of conditional specification is not new. It is likely that earlier investigators in this area were deterred by computational difficulties encountered in the analysis of data following con ditionally specified models. Readily available computing power has swept away that roadblock. A broad spectrum of new flexible models may now be added to the researcher's tool box. This mono graph provides a preliminary guide to these models. Further development of inferential techniques, especially those involving concomitant variables, is clearly called for. We are grateful for invaluable assistance in the preparation of this monograph. In Riverside, Carole Arnold made needed changes in grammer and punctuation and Peggy Franklin miraculously transformed minute hieroglyphics into immaculate typescript. In Santander, Agustin Manrique ex pertly transformed rough sketches into clear diagrams. Finally, we thank the University of Cantabria for financial support which made possible Barry C. Arnold's enjoyable and productive visit to S- tander during the initial stages of the project. Barry C. Arnold Riverside, California USA Enrique Castillo Jose Maria Sarabia Santander, Cantabria Spain January, 1991 Contents 1 Conditional Specification 1 1.1 Why? ............. ........ . 1 1.2 How may one specify a bivariate distribution? 2 1.3 Early work on conditional specification 4 1.4 Organization of this monograph . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 5 2 Basic Theorems 7 Compatible conditionals: The finite discrete case.

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Page Count

165

Publisher

Springer Science & Business Media

Published Date

ISBN 10

146122912X

ISBN 13

9781461229124

Connectionist Models of Neurons, Learning Processes, and Artificial Intelligence

6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001 Granada, Spain, June 13-15, 2001, Proceedings

By: Jose Mira

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Connectionist Models of Neurons, Learning Processes, and Artificial Intelligence

6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001 Granada, Spain, June 13-15, 2001, Proceedings

By: Jose Mira

This book constitutes, together with its companion, LNCS 2085, the refereed proceedings of the 6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001, held in Granada, Spain, in June 2001. The 200 revised papers presented were carefully reviewed and selected for inclusion in the proceedings. The papers are organized in sections on foundations of connectionism, biophysical models of neurons, structural and functional models of neurons, learning and other plasticity phenomena, complex systems dynamics, artificial intelligence and congnitive processes, methodology for nets design, nets simulation and implementation, bio-inspired systems and engineering, and other applications in a variety of fields.

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Page Count

862

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540422358

ISBN 13

9783540422358

The Hospital Neurology Book

By: Arash Salardini,Jose Biller

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The Hospital Neurology Book

By: Arash Salardini,Jose Biller

A practical, protocol-oriented guide to the practice of neurology in the hospital setting A Doody's Core Title for 2019! Hospital neurology is one of the fastest growing subspecialties within neurology. Running an efficient and effective neurohospitalist line is important to the financial success of hospitals and the physicians employed there. Many neurology patients also have internal medicine problems, and often it is a general hospitalist without neurology training who treat these patients. These physicians sorely need more information on neurology. Conversely, neurologists caring for these patients have only had one year of internal medicine training and require more guidance on medical problems. Given these realities, there is a need for a resource on hospital neurology. With The Hospital Neurology Book, Drs. Salardini and Biller have created a practical, concise, and useful work that guides both neurologists and internists in the areas in which their training is currently not sufficient for hospital practice. The Hospital Neurology Book features a highly readable format, providing information physicians can act upon, including recipes and protocols for patient care and question-based chapter headings that lead physicians to the exact issue they are dealing with in the moment. Each chapter (or chapter section as appropriate) opens with a case study, setting the stage in a highly practical manner, and ends with high yield summary points useful for consolidating learning.

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Page Count

982

Publisher

McGraw Hill Professional

Published Date

ISBN 10

0071845828

ISBN 13

9780071845823

Bio-Inspired Applications of Connectionism

6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001 Granada, Spain, June 13-15, 2001, Proceedings

By: Jose Mira

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Bio-Inspired Applications of Connectionism

6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001 Granada, Spain, June 13-15, 2001, Proceedings

By: Jose Mira

This book constitutes, together with its companion LNCS 2084, the refereed proceedings of the 6th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2001, held in Granada, Spain in June 2001. The 200 revised papers presented were carefully reviewed and selected for inclusion in the proceedings. The papers are organized in sections on foundations of connectionism, biophysical models of neurons, structural and functional models of neurons, learning and other plasticity phenomena, complex systems dynamics, artificial intelligence and cognitive processes, methodology for nets design, nets simulation and implementation, bio-inspired systems and engineering, and other applications in a variety of fields.

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Page Count

875

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540422374

ISBN 13

9783540422372

Book's by Jose E. Castillo

Mimetic Discretization Methods

Mimetic Discretization Methods

Bayesian Cost-Effectiveness Analysis of Medical Treatments

Bayesian Cost-Effectiveness Analysis of Medical Treatments

Conditionally Specified Distributions

Conditionally Specified Distributions

Connectionist Models of Neurons, Learning Processes, and Artificial Intelligence

Connectionist Models of Neurons, Learning Processes, and Artificial Intelligence

The Hospital Neurology Book

The Hospital Neurology Book

Bio-Inspired Applications of Connectionism

Bio-Inspired Applications of Connectionism

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