Interpolation And Extrapolation Optimal Designs 2

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Interpolation and Extrapolation Optimal Designs 2

Author : Giorgio Celant
Publisher : John Wiley & Sons
ISBN 13 : 1119422361
Total Pages : 320 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Interpolation and Extrapolation Optimal Designs 2 by : Giorgio Celant

Download or read book Interpolation and Extrapolation Optimal Designs 2 written by Giorgio Celant and published by John Wiley & Sons. This book was released on 2017-04-11 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers various extensions of the topics treated in the first volume of this series, in relation to the class of models and the type of criterion for optimality. The regressors are supposed to belong to a generic finite dimensional Haar linear space, which substitutes for the classical polynomial case. The estimation pertains to a general linear form of the coefficients of the model, extending the interpolation and extrapolation framework; the errors in the model may be correlated, and the model may be heteroscedastic. Non-linear models, as well as multivariate ones, are briefly discussed. The book focuses to a large extent on criteria for optimality, and an entire chapter presents algorithms leading to optimal designs in multivariate models. Elfving’s theory and the theorem of equivalence are presented extensively. The volume presents an account of the theory of the approximation of real valued functions, which makes it self-consistent.

Interpolation and Extrapolation Optimal Designs V1

Author : Giorgio Celant
Publisher : John Wiley & Sons
ISBN 13 : 1119292298
Total Pages : 254 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Interpolation and Extrapolation Optimal Designs V1 by : Giorgio Celant

Download or read book Interpolation and Extrapolation Optimal Designs V1 written by Giorgio Celant and published by John Wiley & Sons. This book was released on 2016-03-31 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields. In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions. The appendices provide the reader with material to accompany the proofs discussed throughout the book.

Interpolation and Extrapolation Optimal Designs 2

Author : Giorgio Celant
Publisher : John Wiley & Sons
ISBN 13 : 1786300540
Total Pages : 324 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Interpolation and Extrapolation Optimal Designs 2 by : Giorgio Celant

Download or read book Interpolation and Extrapolation Optimal Designs 2 written by Giorgio Celant and published by John Wiley & Sons. This book was released on 2017-05-08 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers various extensions of the topics treated in the first volume of this series, in relation to the class of models and the type of criterion for optimality. The regressors are supposed to belong to a generic finite dimensional Haar linear space, which substitutes for the classical polynomial case. The estimation pertains to a general linear form of the coefficients of the model, extending the interpolation and extrapolation framework; the errors in the model may be correlated, and the model may be heteroscedastic. Non-linear models, as well as multivariate ones, are briefly discussed. The book focuses to a large extent on criteria for optimality, and an entire chapter presents algorithms leading to optimal designs in multivariate models. Elfving’s theory and the theorem of equivalence are presented extensively. The volume presents an account of the theory of the approximation of real valued functions, which makes it self-consistent.

Interpolation and Extrapolation Optimal Designs V1

Author : Giorgio Celant
Publisher : John Wiley & Sons
ISBN 13 : 1848219954
Total Pages : 292 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis Interpolation and Extrapolation Optimal Designs V1 by : Giorgio Celant

Download or read book Interpolation and Extrapolation Optimal Designs V1 written by Giorgio Celant and published by John Wiley & Sons. This book was released on 2016-06-07 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields. In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions. The appendices provide the reader with material to accompany the proofs discussed throughout the book.

Interpolation and Extrapolation Optimal Designs: Polynomial regression and approximation theory

Author : Giorgio Celant
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (1 download)

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Book Synopsis Interpolation and Extrapolation Optimal Designs: Polynomial regression and approximation theory by : Giorgio Celant

Download or read book Interpolation and Extrapolation Optimal Designs: Polynomial regression and approximation theory written by Giorgio Celant and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interpolation and Extrapolation Optimal Designs V3

Author : Celant
Publisher : Wiley-Blackwell
ISBN 13 : 9781786300553
Total Pages : pages
Book Rating : 4.3/5 (5 download)

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Book Synopsis Interpolation and Extrapolation Optimal Designs V3 by : Celant

Download or read book Interpolation and Extrapolation Optimal Designs V3 written by Celant and published by Wiley-Blackwell. This book was released on 2017-04-20 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

mODa 11 - Advances in Model-Oriented Design and Analysis

Author : Joachim Kunert
Publisher : Springer
ISBN 13 : 3319312669
Total Pages : 254 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis mODa 11 - Advances in Model-Oriented Design and Analysis by : Joachim Kunert

Download or read book mODa 11 - Advances in Model-Oriented Design and Analysis written by Joachim Kunert and published by Springer. This book was released on 2016-06-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains pioneering contributions to both the theory and practice of optimal experimental design. Topics include the optimality of designs in linear and nonlinear models, as well as designs for correlated observations and for sequential experimentation. There is an emphasis on applications to medicine, in particular, to the design of clinical trials. Scientists from Europe, the US, Asia, Australia and Africa contributed to this volume of papers from the 11th Workshop on Model Oriented Design and Analysis.

Convex Optimization

Author : Mikhail Moklyachuk
Publisher : John Wiley & Sons
ISBN 13 : 1119804086
Total Pages : 213 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Convex Optimization by : Mikhail Moklyachuk

Download or read book Convex Optimization written by Mikhail Moklyachuk and published by John Wiley & Sons. This book was released on 2021-01-05 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides easy access to the basic principles and methods for solving constrained and unconstrained convex optimization problems. Included are sections that cover: basic methods for solving constrained and unconstrained optimization problems with differentiable objective functions; convex sets and their properties; convex functions and their properties and generalizations; and basic principles of sub-differential calculus and convex programming problems. Convex Optimization provides detailed proofs for most of the results presented in the book and also includes many figures and exercises for a better understanding of the material. Exercises are given at the end of each chapter, with solutions and hints to selected exercises given at the end of the book. Undergraduate and graduate students, researchers in different disciplines, as well as practitioners will all benefit from this accessible approach to convex optimization methods.

Random Evolutionary Systems

Author : Dmitri Koroliouk
Publisher : John Wiley & Sons
ISBN 13 : 1119851246
Total Pages : 345 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Random Evolutionary Systems by : Dmitri Koroliouk

Download or read book Random Evolutionary Systems written by Dmitri Koroliouk and published by John Wiley & Sons. This book was released on 2021-08-02 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the field of modeling complex objects in natural sciences, which considers systems that consist of a large number of interacting parts, a good tool for analyzing and fitting models is the theory of random evolutionary systems, considering their asymptotic properties and large deviations. In Random Evolutionary Systems we consider these systems in terms of the operators that appear in the schemes of their diffusion and the Poisson approximation. Such an approach allows us to obtain a number of limit theorems and asymptotic expansions of processes that model complex stochastic systems, both those that are autonomous and those dependent on an external random environment. In this case, various possibilities of scaling processes and their time parameters are used to obtain different limit results.

Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms

Author : Dmitri Koroliouk
Publisher : John Wiley & Sons
ISBN 13 : 139422947X
Total Pages : 276 pages
Book Rating : 4.3/5 (942 download)

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Book Synopsis Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms by : Dmitri Koroliouk

Download or read book Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms written by Dmitri Koroliouk and published by John Wiley & Sons. This book was released on 2023-07-26 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates a number of asymptotic and analytic approaches applied for the study of random evolutionary systems, and considers typical problems for specific examples. In this case, constructive mathematical models of natural processes are used, which more realistically describe the trajectories of diffusion-type processes, rather than those of the Wiener process. We examine models where particles have some free distance between two consecutive collisions. At the same time, we investigate two cases: the Markov evolutionary system, where the time during which the particle moves towards some direction is distributed exponentially with intensity parameter λ; and the semi-Markov evolutionary system, with arbitrary distribution of the switching process. Thus, the models investigated here describe the motion of particles with a finite speed and the proposed random evolutionary process with characteristics of a natural physical process: free run and finite propagation speed. In the proposed models, the number of possible directions of evolution can be finite or infinite.

Chi-squared Goodness-of-fit Tests for Censored Data

Author : Mikhail S. Nikulin
Publisher : John Wiley & Sons
ISBN 13 : 1119427614
Total Pages : 158 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Chi-squared Goodness-of-fit Tests for Censored Data by : Mikhail S. Nikulin

Download or read book Chi-squared Goodness-of-fit Tests for Censored Data written by Mikhail S. Nikulin and published by John Wiley & Sons. This book was released on 2017-07-06 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the problems of construction and application of chi-squared goodness-of-fit tests for complete and censored data. Classical chi-squared tests assume that unknown distribution parameters are estimated using grouped data, but in practice this assumption is often forgotten. In this book, we consider modified chi-squared tests, which do not suffer from such a drawback. The authors provide examples of chi-squared tests for various distributions widely used in practice, and also consider chi-squared tests for the parametric proportional hazards model and accelerated failure time model, which are widely used in reliability and survival analysis. Particular attention is paid to the choice of grouping intervals and simulations. This book covers recent innovations in the field as well as important results previously only published in Russian. Chi-squared tests are compared with other goodness-of-fit tests (such as the Cramer-von Mises-Smirnov, Anderson-Darling and Zhang tests) in terms of power when testing close competing hypotheses.

Semi-Markov Migration Models for Credit Risk

Author : Guglielmo D'Amico
Publisher : John Wiley & Sons
ISBN 13 : 1848219059
Total Pages : 318 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis Semi-Markov Migration Models for Credit Risk by : Guglielmo D'Amico

Download or read book Semi-Markov Migration Models for Credit Risk written by Guglielmo D'Amico and published by John Wiley & Sons. This book was released on 2017-06-26 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Credit risk is one of the most important contemporary problems for banks and insurance companies. Indeed, for banks, more than forty percent of the equities are necessary to cover this risk. Though this problem is studied by large rating agencies with substantial economic, social and financial tools, building stochastic models is nevertheless necessary to complete this descriptive orientation. This book presents a complete presentation of such a category of models using homogeneous and non-homogeneous semi-Markov processes developed by the authors in several recent papers. This approach provides a good method of evaluating the default risk and the classical VaR indicators used for Solvency II and Basel III governance rules. This book is the first to present a complete semi-Markov treatment of credit risk while also insisting on the practical use of the models presented here, including numerical aspects, so that this book is not only useful for scientific research but also to managers working in this field for banks, insurance companies, pension funds and other financial institutions.

Earthquake Occurrence

Author : Rodolfo Console
Publisher : John Wiley & Sons
ISBN 13 : 1119372216
Total Pages : 170 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Earthquake Occurrence by : Rodolfo Console

Download or read book Earthquake Occurrence written by Rodolfo Console and published by John Wiley & Sons. This book was released on 2017-07-19 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Earthquake Occurrence provides the reader with a review of algorithms applicable for modeling seismicity, such as short-term earthquake clustering and pseudo-periodic long-term behavior of major earthquakes. The concept of the likelihood ratio of a set of observations under different hypotheses is applied for comparison among various models. In short-term models, known by the term ETAS, the occurrence space and time rate density of earthquakes is modeled as the sum of two terms, one representing the independent or spontaneous events, and the other representing the activity triggered by previous earthquakes. Examples of the application of such algorithms in real cases are also reported. Dealing with long-term recurrence models, renewal time-dependent models, implying a pseudo-periodicity of earthquake occurrence, are compared with the simple time-independent Poisson model, in which every event occurs regardless of what has occurred in the past. The book also introduces a number of computer codes developed by the authors over decades of seismological research.

First Hitting Time Regression Models

Author : Chrysseis Caroni
Publisher : John Wiley & Sons
ISBN 13 : 1119437253
Total Pages : 200 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis First Hitting Time Regression Models by : Chrysseis Caroni

Download or read book First Hitting Time Regression Models written by Chrysseis Caroni and published by John Wiley & Sons. This book was released on 2017-07-19 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to promote regression methods for analyzing lifetime (or time-to-event) data that are based on a representation of the underlying process, and are therefore likely to offer greater scientific insight compared to purely empirical methods. In contrast to the rich statistical literature, the regression methods actually employed in lifetime data analysis are limited, particularly in the biomedical field where D. R. Cox’s famous semi-parametric proportional hazards model predominates. Practitioners should become familiar with more flexible models. The first hitting time regression models (or threshold regression) presented here represent observed events as the outcome of an underlying stochastic process. One example is death occurring when the patient’s health status falls to zero, but the idea has wide applicability – in biology, engineering, banking and finance, and elsewhere. The central topic is the model based on an underlying Wiener process, leading to lifetimes following the inverse Gaussian distribution. Introducing time-varying covariates and many other extensions are considered. Various applications are presented in detail.

Analytic Methods in Systems and Software Testing

Author : Ron S. Kenett
Publisher : John Wiley & Sons
ISBN 13 : 1119271509
Total Pages : 570 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Analytic Methods in Systems and Software Testing by : Ron S. Kenett

Download or read book Analytic Methods in Systems and Software Testing written by Ron S. Kenett and published by John Wiley & Sons. This book was released on 2018-09-04 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of systems and software testing using state of the art methods and tools This book provides valuable insights into state of the art software testing methods and explains, with examples, the statistical and analytic methods used in this field. Numerous examples are used to provide understanding in applying these methods to real-world problems. Leading authorities in applied statistics, computer science, and software engineering present state-of-the-art methods addressing challenges faced by practitioners and researchers involved in system and software testing. Methods include: machine learning, Bayesian methods, graphical models, experimental design, generalized regression, and reliability modeling. Analytic Methods in Systems and Software Testing presents its comprehensive collection of methods in four parts: Part I: Testing Concepts and Methods; Part II: Statistical Models; Part III: Testing Infrastructures; and Part IV: Testing Applications. It seeks to maintain a focus on analytic methods, while at the same time offering a contextual landscape of modern engineering, in order to introduce related statistical and probabilistic models used in this domain. This makes the book an incredibly useful tool, offering interesting insights on challenges in the field for researchers and practitioners alike. Compiles cutting-edge methods and examples of analytical approaches to systems and software testing from leading authorities in applied statistics, computer science, and software engineering Combines methods and examples focused on the analytic aspects of systems and software testing Covers logistic regression, machine learning, Bayesian methods, graphical models, experimental design, generalized regression, and reliability models Written by leading researchers and practitioners in the field, from diverse backgrounds including research, business, government, and consulting Stimulates research at the theoretical and practical level Analytic Methods in Systems and Software Testing is an excellent advanced reference directed toward industrial and academic readers whose work in systems and software development approaches or surpasses existing frontiers of testing and validation procedures. It will also be valuable to post-graduate students in computer science and mathematics.

Optimal Design of Complex Mechanical Systems

Author : Giampiero Mastinu
Publisher : Springer Science & Business Media
ISBN 13 : 3540343555
Total Pages : 359 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Optimal Design of Complex Mechanical Systems by : Giampiero Mastinu

Download or read book Optimal Design of Complex Mechanical Systems written by Giampiero Mastinu and published by Springer Science & Business Media. This book was released on 2007-07-20 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents foundations and practical application of multi-objective optimization methods to Vehicle Design Problems, bolstered with an extensive collection of examples. Opening with a broad theoretical introduction to the optimization of complex mechanical systems and multi-objective optimization methods, the book presents several applications which are extensively exposed here for the first time. The book includes examples of proposed methods to the solution of real vehicle design problems.

Intelligent Computing in Optimal Design

Author : Tadeusz Burczyński
Publisher : Springer Nature
ISBN 13 : 3030341615
Total Pages : 245 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Intelligent Computing in Optimal Design by : Tadeusz Burczyński

Download or read book Intelligent Computing in Optimal Design written by Tadeusz Burczyński and published by Springer Nature. This book was released on 2020-01-01 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to intelligent design of structures as a novel kind of designing based on computational intelligence. The proposed methodology based on computational intelligence has some heuristic and learning attributes typical for natural intelligence. Computer models of the structures are built on the base of the finite element method (FEM), the boundary element method (BEM) or coupling of FEM and BEM. The short description of possible discrete models of structures using these methods is included in the Chapter 2. Various kinds of intelligent approaches using sequential, parallel, distributed, fuzzy and hybrid evolutionary, immune and particle swarm algorithms and neural computing are presented in Chapter 3. Different kinds of optimization such as shape, topology, size and material optimization for structures under static and dynamical mechanical and thermo-mechanical loadings, structures with cracks and composite structures are considered in Chapter 4. Multi-objective optimization for coupled problems is also taken into account. Several numerical examples illustrating these kinds of optimization are presented for 2-D (plane-stress or plane-strain, plates, shells) as well as 3-D structures. Chapter 5 is devoted to special problems related to solving inverse problems in which boundary conditions, defects such as voids or cracks and material characteristics, are unknown. Closing comments summarizing the book are presented in Chapter 6.