Handbook Of Dynamics And Probability

Author : Peter Müller
Publisher : Springer Nature
Page : 544 pages
File Size : 40,9 Mb
Release : 2021-11-20
Category : Science
ISBN : 9783030884864

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Handbook of Dynamics and Probability by Peter Müller Pdf

Our time is characterized by an explosive growth in the use of ever more complicated and sophisticated (computer) models. These models rely on dynamical systems theory for the interpretation of their results and on probability theory for the quantification of their uncertainties. A conscientious and intelligent use of these models requires that both these theories are properly understood. This book is to provide such understanding. It gives a unifying treatment of dynamical systems theory and probability theory. It covers the basic concepts and statements of these theories, their interrelations, and their applications to scientific reasoning and physics. The book stresses the underlying concepts and mathematical structures but is written in a simple and illuminating manner without sacrificing too much mathematical rigor. The book is aimed at students, post-docs, and researchers in the applied sciences who aspire to better understand the conceptual and mathematical underpinnings of the models that they use. Despite the peculiarities of any applied science, dynamics and probability are the common and indispensable tools in any modeling effort. The book is self-contained, with many technical aspects covered in appendices, but does require some basic knowledge in analysis, linear algebra, and physics. Peter Müller, now a professor emeritus at the University of Hawaii, has worked extensively on ocean and climate models and the foundations of complex system theories.

Author : Ionut Florescu,Ciprian A. Tudor
Publisher : John Wiley & Sons
Page : 347 pages
File Size : 50,8 Mb
Release : 2013-10-28
Category : Mathematics
ISBN : 9781118593097

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Handbook of Probability by Ionut Florescu,Ciprian A. Tudor Pdf

THE COMPLETE COLLECTION NECESSARY FOR A CONCRETE UNDERSTANDING OF PROBABILITY Written in a clear, accessible, and comprehensive manner, the Handbook of Probability presents the fundamentals of probability with an emphasis on the balance of theory, application, and methodology. Utilizing basic examples throughout, the handbook expertly transitions between concepts and practice to allow readers an inclusive introduction to the field of probability. The book provides a useful format with self-contained chapters, allowing the reader easy and quick reference. Each chapter includes an introduction, historical background, theory and applications, algorithms, and exercises. The Handbook of Probability offers coverage of: Probability Space Probability Measure Random Variables Random Vectors in Rn Characteristic Function Moment Generating Function Gaussian Random Vectors Convergence Types Limit Theorems The Handbook of Probability is an ideal resource for researchers and practitioners in numerous fields, such as mathematics, statistics, operations research, engineering, medicine, and finance, as well as a useful text for graduate students.

Author : Frederica Darema,Erik P. Blasch,Sai Ravela,Alex J. Aved
Publisher : Springer Nature
Page : 937 pages
File Size : 40,8 Mb
Release : 2023-10-16
Category : Computers
ISBN : 9783031279867

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Handbook of Dynamic Data Driven Applications Systems by Frederica Darema,Erik P. Blasch,Sai Ravela,Alex J. Aved Pdf

This Second Volume in the series Handbook of Dynamic Data Driven Applications Systems (DDDAS) expands the scope of the methods and the application areas presented in the first Volume and aims to provide additional and extended content of the increasing set of science and engineering advances for new capabilities enabled through DDDAS. The methods and examples of breakthroughs presented in the book series capture the DDDAS paradigm and its scientific and technological impact and benefits. The DDDAS paradigm and the ensuing DDDAS-based frameworks for systems’ analysis and design have been shown to engender new and advanced capabilities for understanding, analysis, and management of engineered, natural, and societal systems (“applications systems”), and for the commensurate wide set of scientific and engineering fields and applications, as well as foundational areas. The DDDAS book series aims to be a reference source of many of the important research and development efforts conducted under the rubric of DDDAS, and to also inspire the broader communities of researchers and developers about the potential in their respective areas of interest, of the application and the exploitation of the DDDAS paradigm and the ensuing frameworks, through the examples and case studies presented, either within their own field or other fields of study. As in the first volume, the chapters in this book reflect research work conducted over the years starting in the 1990’s to the present. Here, the theory and application content are considered for: Foundational Methods Materials Systems Structural Systems Energy Systems Environmental Systems: Domain Assessment & Adverse Conditions/Wildfires Surveillance Systems Space Awareness Systems Healthcare Systems Decision Support Systems Cyber Security Systems Design of Computer Systems The readers of this book series will benefit from DDDAS theory advances such as object estimation, information fusion, and sensor management. The increased interest in Artificial Intelligence (AI), Machine Learning and Neural Networks (NN) provides opportunities for DDDAS-based methods to show the key role DDDAS plays in enabling AI capabilities; address challenges that ML-alone does not, and also show how ML in combination with DDDAS-based methods can deliver the advanced capabilities sought; likewise, infusion of DDDAS-like approaches in NN-methods strengthens such methods. Moreover, the “DDDAS-based Digital Twin” or “Dynamic Digital Twin”, goes beyond the traditional DT notion where the model and the physical system are viewed side-by-side in a static way, to a paradigm where the model dynamically interacts with the physical system through its instrumentation, (per the DDDAS feed-back control loop between model and instrumentation).

Author : B. Hasselblatt,A. Katok
Publisher : Elsevier
Page : 1232 pages
File Size : 55,8 Mb
Release : 2002-08-20
Category : Mathematics
ISBN : 9780080533445

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Handbook of Dynamical Systems by B. Hasselblatt,A. Katok Pdf

Volumes 1A and 1B. These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys. The volumes are a valuable resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics who wish to learn about contemporary ideas and results dynamics. Assuming only general mathematical knowledge the surveys lead the reader towards the current state of research in dynamics. Volume 1B will appear 2005.

Author : B. Skalmierski,A. Tylikowski
Publisher : Springer Science & Business Media
Page : 166 pages
File Size : 51,5 Mb
Release : 1982-11-30
Category : Science
ISBN : 9024726867

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Stochastic Processes in Dynamics by B. Skalmierski,A. Tylikowski Pdf

Author : Reggiani, Aura,Schintler, Laurie A.,Czamanski, Danny,Patuelli, Roberto
Publisher : Edward Elgar Publishing
Page : 640 pages
File Size : 44,8 Mb
Release : 2021-12-14
Category : Social Science
ISBN : 9781839100598

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Handbook on Entropy, Complexity and Spatial Dynamics by Reggiani, Aura,Schintler, Laurie A.,Czamanski, Danny,Patuelli, Roberto Pdf

This ground-breaking Handbook presents a state-of-the-art exploration of entropy, complexity and spatial dynamics from fundamental theoretical, empirical and methodological perspectives. It considers how foundational theories can contribute to new advances, including novel modeling and empirical insights at different sectoral, spatial and temporal scales.

Author : Dirk P. Kroese,Thomas Taimre,Zdravko I. Botev
Publisher : John Wiley & Sons
Page : 627 pages
File Size : 42,5 Mb
Release : 2013-06-06
Category : Mathematics
ISBN : 9781118014950

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Handbook of Monte Carlo Methods by Dirk P. Kroese,Thomas Taimre,Zdravko I. Botev Pdf

A comprehensive overview of Monte Carlo simulation that explores the latest topics, techniques, and real-world applications More and more of today’s numerical problems found in engineering and finance are solved through Monte Carlo methods. The heightened popularity of these methods and their continuing development makes it important for researchers to have a comprehensive understanding of the Monte Carlo approach. Handbook of Monte Carlo Methods provides the theory, algorithms, and applications that helps provide a thorough understanding of the emerging dynamics of this rapidly-growing field. The authors begin with a discussion of fundamentals such as how to generate random numbers on a computer. Subsequent chapters discuss key Monte Carlo topics and methods, including: Random variable and stochastic process generation Markov chain Monte Carlo, featuring key algorithms such as the Metropolis-Hastings method, the Gibbs sampler, and hit-and-run Discrete-event simulation Techniques for the statistical analysis of simulation data including the delta method, steady-state estimation, and kernel density estimation Variance reduction, including importance sampling, latin hypercube sampling, and conditional Monte Carlo Estimation of derivatives and sensitivity analysis Advanced topics including cross-entropy, rare events, kernel density estimation, quasi Monte Carlo, particle systems, and randomized optimization The presented theoretical concepts are illustrated with worked examples that use MATLAB®, a related Web site houses the MATLAB® code, allowing readers to work hands-on with the material and also features the author's own lecture notes on Monte Carlo methods. Detailed appendices provide background material on probability theory, stochastic processes, and mathematical statistics as well as the key optimization concepts and techniques that are relevant to Monte Carlo simulation. Handbook of Monte Carlo Methods is an excellent reference for applied statisticians and practitioners working in the fields of engineering and finance who use or would like to learn how to use Monte Carlo in their research. It is also a suitable supplement for courses on Monte Carlo methods and computational statistics at the upper-undergraduate and graduate levels.

Author : Ionut Florescu
Publisher : John Wiley & Sons
Page : 578 pages
File Size : 55,8 Mb
Release : 2014-10-27
Category : Mathematics
ISBN : 9780470624555

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Probability and Stochastic Processes by Ionut Florescu Pdf

A comprehensive and accessible presentation of probability and stochastic processes with emphasis on key theoretical concepts and real-world applications With a sophisticated approach, Probability and Stochastic Processes successfully balances theory and applications in a pedagogical and accessible format. The book’s primary focus is on key theoretical notions in probability to provide a foundation for understanding concepts and examples related to stochastic processes. Organized into two main sections, the book begins by developing probability theory with topical coverage on probability measure; random variables; integration theory; product spaces, conditional distribution, and conditional expectations; and limit theorems. The second part explores stochastic processes and related concepts including the Poisson process, renewal processes, Markov chains, semi-Markov processes, martingales, and Brownian motion. Featuring a logical combination of traditional and complex theories as well as practices, Probability and Stochastic Processes also includes: Multiple examples from disciplines such as business, mathematical finance, and engineering Chapter-by-chapter exercises and examples to allow readers to test their comprehension of the presented material A rigorous treatment of all probability and stochastic processes concepts An appropriate textbook for probability and stochastic processes courses at the upper-undergraduate and graduate level in mathematics, business, and electrical engineering, Probability and Stochastic Processes is also an ideal reference for researchers and practitioners in the fields of mathematics, engineering, and finance.

Author : Pijush Samui,Dieu Tien Bui,Subrata Chakraborty,Ravinesh C. Deo
Publisher : Butterworth-Heinemann
Page : 590 pages
File Size : 53,7 Mb
Release : 2019-10-05
Category : Computers
ISBN : 9780128165461

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Handbook of Probabilistic Models by Pijush Samui,Dieu Tien Bui,Subrata Chakraborty,Ravinesh C. Deo Pdf

Handbook of Probabilistic Models carefully examines the application of advanced probabilistic models in conventional engineering fields. In this comprehensive handbook, practitioners, researchers and scientists will find detailed explanations of technical concepts, applications of the proposed methods, and the respective scientific approaches needed to solve the problem. This book provides an interdisciplinary approach that creates advanced probabilistic models for engineering fields, ranging from conventional fields of mechanical engineering and civil engineering, to electronics, electrical, earth sciences, climate, agriculture, water resource, mathematical sciences and computer sciences. Specific topics covered include minimax probability machine regression, stochastic finite element method, relevance vector machine, logistic regression, Monte Carlo simulations, random matrix, Gaussian process regression, Kalman filter, stochastic optimization, maximum likelihood, Bayesian inference, Bayesian update, kriging, copula-statistical models, and more. Explains the application of advanced probabilistic models encompassing multidisciplinary research Applies probabilistic modeling to emerging areas in engineering Provides an interdisciplinary approach to probabilistic models and their applications, thus solving a wide range of practical problems

Author : N. Balakrishnan,Markos V. Koutras,Konstadinos G. Politis
Publisher : John Wiley & Sons
Page : 624 pages
File Size : 45,6 Mb
Release : 2019-04-01
Category : Mathematics
ISBN : 9781118548714

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Introduction to Probability. by N. Balakrishnan,Markos V. Koutras,Konstadinos G. Politis Pdf

An essential guide to the concepts of probability theory that puts the focus on models and applications Introduction to Probability offers an authoritative text that presents the main ideas and concepts, as well as the theoretical background, models, and applications of probability. The authors—noted experts in the field—include a review of problems where probabilistic models naturally arise, and discuss the methodology to tackle these problems. A wide-range of topics are covered that include the concepts of probability and conditional probability, univariate discrete distributions, univariate continuous distributions, along with a detailed presentation of the most important probability distributions used in practice, with their main properties and applications. Designed as a useful guide, the text contains theory of probability, de finitions, charts, examples with solutions, illustrations, self-assessment exercises, computational exercises, problems and a glossary. This important text: • Includes classroom-tested problems and solutions to probability exercises • Highlights real-world exercises designed to make clear the concepts presented • Uses Mathematica software to illustrate the text’s computer exercises • Features applications representing worldwide situations and processes • Offers two types of self-assessment exercises at the end of each chapter, so that students may review the material in that chapter and monitor their progress. Written for students majoring in statistics, engineering, operations research, computer science, physics, and mathematics, Introduction to Probability: Models and Applications is an accessible text that explores the basic concepts of probability and includes detailed information on models and applications.

Author : Maria Lasonen-Aarnio,Clayton Littlejohn
Publisher : Taylor & Francis
Page : 562 pages
File Size : 52,7 Mb
Release : 2023-12-19
Category : Philosophy
ISBN : 9781317373902

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The Routledge Handbook of the Philosophy of Evidence by Maria Lasonen-Aarnio,Clayton Littlejohn Pdf

What one can know depends on one’s evidence. Good scientific theories are supported by evidence. Our experiences provide us with evidence. Any sort of inquiry involves the seeking of evidence. It is irrational to believe contrary to your evidence. For these reasons and more, evidence is one of the most fundamental notions in the field of epistemology and is emerging as a crucial topic across academic disciplines. The Routledge Handbook of the Philosophy of Evidence is an outstanding reference source to the key topics, problems, and debates in this exciting subject and is the first major volume of its kind. Comprising forty chapters by an international team of contributors the handbook is divided into six clear parts: The Nature of Evidence Evidence and Probability The Social Epistemology of Evidence Sources of Evidence Evidence and Justification Evidence in the Disciplines The Routledge Handbook of the Philosophy of Evidence is essential reading for students and researchers in philosophy of science and epistemology, and will also be of interest to those in related disciplines across the humanities and social sciences, such as law, religion, and history.

Author : John-Jules Ch. Meyer,Jan Treur
Publisher : Springer Science & Business Media
Page : 385 pages
File Size : 49,8 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401717434

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Dynamics and Management of Reasoning Processes by John-Jules Ch. Meyer,Jan Treur Pdf

This volume, the 6th volume in the DRUMS Handbook series, is part of the after math of the successful ESPRIT project DRUMS (Defeasible Reasoning and Un certainty Management Systems) which took place in two stages from 1989-1996. In the second stage (1993-1996) a work package was introduced devoted to the topics Reasoning and Dynamics, covering both the topics of 'Dynamics of Rea soning', where reasoning is viewed as a process, and 'Reasoning about Dynamics', which must be understood as pertaining to how both designers of and agents within dynamic systems may reason about these systems. The present volume presents work done in this context. This work has an emphasis on modelling and formal techniques in the investigation of the topic "Reasoning and Dynamics", but it is not mere theory that occupied us. Rather research was aimed at bridging the gap between theory and practice. Therefore also real-life applications of the modelling techniques were considered, and we hope this also shows in this volume, which is focused on the dynamics of reasoning processes. In order to give the book a broader perspective, we have invited a number of well-known researchers outside the project but working on similar topics to contribute as well. We have very pleasant recollections of the project, with its lively workshops and other meetings, with the many sites and researchers involved, both within and outside our own work package.

Author : Yakov G. Sinai
Publisher : Springer
Page : 0 pages
File Size : 47,8 Mb
Release : 2010-08-23
Category : Mathematics
ISBN : 1441962042

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Selecta: Volume II by Yakov G. Sinai Pdf

The 20 papers contained in this volume span the areas of mathematical physics, dynamical systems, and probability. Yakov Sinai is one of the most important and influential mathematicians of our time, having won the Boltzmann Medal (1986), the Dirac Medal (1992), Dannie Heinemann Prize for Mathematical Physics (1989), Nemmers Prize (2002), and the Wolf Prize in Mathematics (1997). He is well-known as both a mathematician and a physicist, with numerous theorems and proofs bearing his name in both fields, and this book should be of interest to researchers from all fields of the physical sciences.This volume follows Volume I.

Author : Jordan Stoyanov
Publisher : Unknown
Page : 352 pages
File Size : 51,7 Mb
Release : 1989
Category : Electronic
ISBN : OCLC:833690093

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Exercise Manual in Probability Theory by Jordan Stoyanov Pdf

Author : Haym Benaroya,Seon Mi Han,Mark Nagurka
Publisher : CRC Press
Page : 765 pages
File Size : 53,5 Mb
Release : 2013-05-02
Category : Mathematics
ISBN : 9781439850152

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Probabilistic Models for Dynamical Systems by Haym Benaroya,Seon Mi Han,Mark Nagurka Pdf

Now in its second edition, Probabilistic Models for Dynamical Systems expands on the subject of probability theory. Written as an extension to its predecessor, this revised version introduces students to the randomness in variables and time dependent functions, and allows them to solve governing equations.Introduces probabilistic modeling and explo