Functional Analysis Methods for Reliability Models

This book focuses on statistical methods for the analysis of discrete failure times. Failure time analysis is one of the most important fields in statistical research, with applications affecting a wi

This volume provides in-depth, step-by-step coverage of the most common matrix methods now used in statistical applications, including eigenvalues and eigenvectors; the Moore-Penrose inverse; matrix d

Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before reassembling the pieces. This two-volume text presents a largely self-contained treatment, comprising not just the major theoretical aspects (Part I) but also exploring links to other areas of mathematics and applications to science and technology (Part II). Following the historical and conceptual genesis, this book (Part I) provides overviews of basic measure theory and functional analysis, with added insight into complex analysis and the theory of distributions. The material is intended for both beginning and advanced graduate students with a thorough knowledge of advanced calculus and linear algebra. Historical notes are provided and topics are illustrated at every stage by examples and exercises, with separate hints and solutions, thus making the exposition useful both as a course

This book will give instructors of probability courses handy material and references for applications to stochastic neuron modeling. Methods and results are presented, but the emphasis is on ques

The book's comprehensive coverage on the application of econometric methods to empirical analysis of economic issues is impressive. It uncovers the missing link between textbooks on economic theory an

Written by two leading experts, this is a compact guide to the key tools and methods necessary to carry out cost-benefit analysis (CBA). The authors use modern economic tools to obtain general equilibrium cost-benefit rules that can be used to evaluate small projects, as well as large and even mega projects. Intertemporal issues like discounting, the shadow price of capital, and the treatment of risk are covered, and a state-of-the-art summary of available methods for the valuation of unpriced commodities is also included. In addition, the book provides detailed expositions of the marginal cost of public goods (MCPF), the marginal excess burden of taxes (MEB), and second-best evaluation rules, and shows how these concepts are interrelated. The importance of undertaking due diligence in evaluations is highlighted. This is an excellent toolkit for graduate students learning about the principles of CBA, and is a useful guide for government officials and policymakers.

Part of SAGE’s Mastering Business Research Methods, conceived and edited by Bill Lee, Mark N. K. Saunders and Vadake K. Narayanan and designed to support researchers by providing in-depth and practica

Part of SAGE’s Mastering Business Research Methods, conceived and edited by Bill Lee, Mark N. K. Saunders and Vadake K. Narayanan and designed to support researchers by providing in-depth and practica

Written by two leading experts, this is a compact guide to the key tools and methods necessary to carry out cost-benefit analysis (CBA). The authors use modern economic tools to obtain general equilibrium cost-benefit rules that can be used to evaluate small projects, as well as large and even mega projects. Intertemporal issues like discounting, the shadow price of capital, and the treatment of risk are covered, and a state-of-the-art summary of available methods for the valuation of unpriced commodities is also included. In addition, the book provides detailed expositions of the marginal cost of public goods (MCPF), the marginal excess burden of taxes (MEB), and second-best evaluation rules, and shows how these concepts are interrelated. The importance of undertaking due diligence in evaluations is highlighted. This is an excellent toolkit for graduate students learning about the principles of CBA, and is a useful guide for government officials and policymakers.

Applied Hierarchical Modeling in Ecology: Distribution, Abundance, Species Richness offers a new synthesis of the state-of-the-art of hierarchical models for plant and animal distribution, abundance,

Explaining how graph theory and social network analysis can be applied to team sports analysis,This book presents useful approaches, models and methods that can be used to characterise the overall pro

This authoritative work provides an in-depth treatment of state space methods, with a range of applications in neural and clinical data. Advanced and state-of-the-art research topics are detailed, including topics in state space analyses, maximum likelihood methods, variational Bayes, sequential Monte Carlo, Markov chain Monte Carlo, nonparametric Bayesian, and deep learning methods. Details are provided on practical applications in neural and clinical data, whether this is characterising time series data from neural spike trains recorded from the rat hippocampus, the primate motor cortex, or the human EEG, MEG or fMRI, or physiological measurements of heartbeats or blood pressures. With real-world case studies of neuroscience experiments and clinical data sets, and written by expert authors from across the field, this is an ideal resource for anyone working in neuroscience and physiological data analysis.

This sophisticated package of statistical methods is for advanced master's (MPH) and PhD students in public health and epidemiology who are involved in the analysis of data. It makes the link from statistical theory to data analysis, focusing on the methods and data types most common in public health and related fields. Like most toolboxes, the statistical tools in this book are organized into sections with similar objectives. Unlike most toolboxes, however, these tools are accompanied by complete instructions, explanations, detailed examples, and advice on relevant issues and potential pitfalls - conveying skills, intuition, and experience. The only prerequisite is a first-year statistics course and familiarity with a computing package such as R, Stata, SPSS, or SAS. Though the book is not tied to a particular computing language, its figures and analyses were all created using R. Relevant R code, data sets, and links to public data sets are available from www.cambridge.org/97811071130

This book addresses the fundamental concepts in the theory and practice of visual cryptography. The design, construction, analysis, and application of visual cryptography schemes (VCSs) are discussed

This book serves as a practical guide to methods and statistics in medical research. It includes step-by-step instructions on using SPSS software for statistical analysis, as well as relevant examples

In the development of statistics, models for the analysis of longitudinal data took a particularly important place, especially in biostatistics. This book describes methods available for applied stati

A comprehensive overview of how to scientifically evaluate of traditional Chinese medicines(TCMs), this book covers regulatory requirements, statistical design, and data analysis for studies conducted

Uncover the Useful Interactions of Fixed Point Theory with Topological StructuresNonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinea

The second edition of this popular book brings students fully up to date with the latest methods and techniques in choice analysis. Comprehensive yet accessible, it offers a unique introduction to anyone interested in understanding how to model and forecast the range of choices made by individuals and groups. In addition to a complete rewrite of several chapters, new topics covered include ordered choice, scaled MNL, generalized mixed logit, latent class models, group decision making, heuristics and attribute processing strategies, expected utility theory, and prospect theoretic applications. Many additional case studies are used to illustrate the applications of choice analysis with extensive command syntax provided for all Nlogit applications and datasets available online. With its unique blend of theory, estimation, and application, this book has broad appeal to all those interested in choice modeling methods and will be a valuable resource for students as well as researchers, profe

Stochastic Analysis for Gaussian Random Processes and Fields: With Applications presents Hilbert space methods to study deep analytic properties connecting probabilistic notions. In particular, it stu

Uniting classical and modern photonics approaches by presenting optical analyses as solutions of Maxwell's equations, this unique book enables students and practising engineers to fully understand the similarities and differences between the different methods. The book begins with a thorough discussion of plane wave analysis, which provides a clear understanding of optics without considering boundary condition or device configuration. It then goes on to cover diffraction analysis of many applications, including a rigorous analysis of TEM waves using Maxwell's equations with boundaries. Laser cavity modes and Gaussian beams are presented, modal analysis is covered, and approximation methods are discussed (including the perturbation technique, coupled mode analysis, and super mode analysis). With theory linked to practical examples throughout, it provides a clear understanding of the interplay between plane wave, diffraction and modal analysis, and how the different techniques can be app

This book highlights how energy-system models are used to underpin and support energy and climate mitigation policy decisions at national, multi-country and global levels. It brings together, for the

Bayesian Data Analysis in Ecology Using Linear Models with R, BUGS, and STANintroduces the Bayesian and frequentist methods of conducting data analyses. The book provides the theoretical background in

This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities partly filled by liquid. It combines several methods and compares the results with expe

A solid foundation in quantitative methods and management science This popular text gives students a genuine foundation in business analytics, quantitative methods, and management science—and how to a

From Treaty-Making to Treaty-Breaking is the first high-level analysis of ASEAN's external trade agreements with non-ASEAN states. It clearly sets out the intended, and unintended, consequences of ASEAN's prevailing method of treaty making, with suggested guidelines for the future. The book begins by asking whether ASEAN trade agreements follow worldwide trends in the substantive content of such agreements. It raises questions such as: to what extent is it possible to continue concluding trade agreements through individual member states?; what are the legal consequences - from negotiation and conclusion (treaty-making) through to possible breach of the agreements (treaty-breaking)?; should ASEAN resort to mixed treaty-making? This study does not seek to give a definitive answer to these questions, rather it opens up the topic to readers by suggesting different possible models for ASEAN trade agreements. This thought-provoking book will appeal to anyone interested in trade negotiations

"This book provides graduate students in the social sciences with the basic skills that they need in order to estimate, interpret, present, and publish basic regression models using contemporary stand

"This book provides graduate students in the social sciences with the basic skills that they need in order to estimate, interpret, present, and publish basic regression models using contemporary stand

This comprehensive content and reference work on atmospheric models covers not only the methods for numerical modeling, but also the related fields of assimilation and predictability. It includes dist

This textbook is an approachable introduction to statistical analysis using matrix algebra. Prior knowledge of matrix algebra is not necessary. Advanced topics are easy to follow through analyses that

This book takes a holistic approach to reliability engineering for electrical and electronic systems by looking at the failure mechanisms, testing methods, failure analysis, characterisation technique

Brand-new edition of the essential resource adopted on modules in statistical analysis, statistical methods and quantitative geography worldwide. Now fully integrated with online self-assessment exerc

"Researchers in Critical Discourse Analysis (CDA) have often pointed to grammar as a locus of ideology in discourse. This book illustrates the role that grammars as models of language (and image) can

Diffusion wavelets are powerful tools for functional analysis and geometry processing, enabling researchers to determine the structure of data and analyze 3D shapes. This is the first book on diffusio

This book introduces algebraic, combinatorial, and geometric methods for hidden tree models. It presents a focused introduction to some concepts in algebraic statistics and shows how the methods can b

The book provides a detailed analysis of issues related to sub-threshold interconnect performance from the perspective of analytical approach and design techniques. Particular emphasis is laid on the

With an emphasis on applications of computational models for solving modern challenging problems in biomedical and life sciences, this book aims to bring collections of articles from biologists, medic

This book opens new avenues in understanding mathematical models within the context of a transition economy. The exposition lays out the methods for combining different mathematical structures and too

A presentation of the theory behind the Rayleigh-Ritz (R-R) method, as well as a discussion of the choice of admissible functions and the use of penalty methods, including recent developments such as

This short book presents a framework for assessing the reliability and availability of visual quality control systems, placing particular emphasis on wavelet-based analysis. It presents experimental r