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Multifractional Stochastic Fields: Wavelet Strategies In Multifractional Frameworks

by Antoine Ayache ...

Fractional Brownian Motion (FBM) is a very classical continuous self-similar Gaussian field with stationary increments. In 1940, some works of Kolmogorov on turbulence led him to introduce this quite natural extension of Brownian Motion, which, in contrast with the latter, has correlated increments. However, the denomination FBM is due to a very famous article by Mandelbrot and Van Ness, published ... Read more

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Fractional Brownian Motion (FBM) is a very classical continuous self-similar Gaussian field with stationary increments. In 1940, some works of Kolmogorov on turbulence led him to introduce this quite natural extension of Brownian Motion, which, in contrast with the latter, has correlated increments. However, the denomination FBM is due to a very famous article by Mandelbrot and Van Ness, published
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Probability for Finance

by Ekkehard Kopp, Jan Malczak, Tomasz Zastawniak ...

Series series Mastering Mathematical Finance
Students and instructors alike will benefit from this rigorous, unfussy text, which keeps a clear focus on the basic probabilistic concepts required for an understanding of financial market models, including independence and conditioning. Assuming only some calculus and linear algebra, the text develops key results of measure and integration, which are applied to probability spaces and random ... Read more

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Students and instructors alike will benefit from this rigorous, unfussy text, which keeps a clear focus on the basic probabilistic concepts required for an understanding of financial market models, including independence and conditioning. Assuming only some calculus and linear algebra, the text develops key results of measure and integration, which are applied to probability spaces and random
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Advances on Theoretical and Methodological Aspects of Probability and Statistics

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At the International Indian Statistical Association Conference, held at McMaster University in Ontario, Canada, participants focused on advancements in theory and methodology of probability and statistics. This is one of two volumes containing invited papers from the meeting. The 32 chapters deal with different topics of interest, including stochastic processes and inference, distributions and ... Read more

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At the International Indian Statistical Association Conference, held at McMaster University in Ontario, Canada, participants focused on advancements in theory and methodology of probability and statistics. This is one of two volumes containing invited papers from the meeting. The 32 chapters deal with different topics of interest, including stochastic processes and inference, distributions and
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Modeling Anomalous Diffusion: From Statistics To Mathematics

by Weihua Deng, Ru Hou, Wanli Wang, Pengbo Xu ...

This book focuses on modeling the anomalous diffusion phenomena, being ubiquitous in the natural world. Both the microscopic models (stochastic processes) and macroscopic models (partial differential equations) have been built up. The relationships between the two kinds of models are clarified, and based on these models, some statistical observables are analyzed. From statistics to mathematics, ... Read more

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This book focuses on modeling the anomalous diffusion phenomena, being ubiquitous in the natural world. Both the microscopic models (stochastic processes) and macroscopic models (partial differential equations) have been built up. The relationships between the two kinds of models are clarified, and based on these models, some statistical observables are analyzed. From statistics to mathematics,
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Measures, Integrals and Martingales

by René L. Schilling ...

A concise yet elementary introduction to measure and integration theory, which are vital in many areas of mathematics, including analysis, probability, mathematical physics and finance. In this highly successful textbook, core ideas of measure and integration are explored, and martingales are used to develop the theory further. Other topics are also covered such as Jacobi's transformation theorem, ... Read more

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A concise yet elementary introduction to measure and integration theory, which are vital in many areas of mathematics, including analysis, probability, mathematical physics and finance. In this highly successful textbook, core ideas of measure and integration are explored, and martingales are used to develop the theory further. Other topics are also covered such as Jacobi's transformation theorem,
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Introduction to Stochastic Processes

Queues, Finance, and Credit Risk

by Dharmaraja Selvamuthu ...

Series series Mathematics and Statistics (R0)
This is an essential textbook for senior undergraduate and graduate students of statistics, stochastic processes, stochastic finance, and probability theory. It covers all the important notations of probability theory and stochastic processes that are crucial for students to overcome their initial challenges during their studies. It thoroughly discusses the concepts of stochastic processes, both ... Read more

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This is an essential textbook for senior undergraduate and graduate students of statistics, stochastic processes, stochastic finance, and probability theory. It covers all the important notations of probability theory and stochastic processes that are crucial for students to overcome their initial challenges during their studies. It thoroughly discusses the concepts of stochastic processes, both
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Mathematical Music

by Ronald Miu ...

This book provides a mathematical approach to music composition. Although this topic has attracted significant attention, existing efforts focus on algebra and number theory. We add to the literature of applied mathematics by leveraging stochastic processes to compose chamber music. The first several chapters of the book introduce key concepts from probability theory. Subsequent chapters explore ... Read more

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This book provides a mathematical approach to music composition. Although this topic has attracted significant attention, existing efforts focus on algebra and number theory. We add to the literature of applied mathematics by leveraging stochastic processes to compose chamber music. The first several chapters of the book introduce key concepts from probability theory. Subsequent chapters explore
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Computation and Modelling in Insurance and Finance

by Erik Bølviken ...

Series series International Series on Actuarial Science
Focusing on what actuaries need in practice, this introductory account provides readers with essential tools for handling complex problems and explains how simulation models can be created, used and re-used (with modifications) in related situations. The book begins by outlining the basic tools of modelling and simulation, including a discussion of the Monte Carlo method and its use. Part II deals ... Read more

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Focusing on what actuaries need in practice, this introductory account provides readers with essential tools for handling complex problems and explains how simulation models can be created, used and re-used (with modifications) in related situations. The book begins by outlining the basic tools of modelling and simulation, including a discussion of the Monte Carlo method and its use. Part II deals
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Urn Models and Their Applications in Finance

by Masato Hisakado ...

Series series Business and Management (R0)
This fascinating book begins with fundamental definitions and notations of urn models before moving on to stochastic processes and applications of urn models in the field of finance. The Pólya urn model is simple but has rich content and diverse applications because it includes correlations. Applications of Pólya models such as phase transitions in nonlinear Pólya models are studied here, and the ... Read more

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This fascinating book begins with fundamental definitions and notations of urn models before moving on to stochastic processes and applications of urn models in the field of finance. The Pólya urn model is simple but has rich content and diverse applications because it includes correlations. Applications of Pólya models such as phase transitions in nonlinear Pólya models are studied here, and the
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Risk-sensitive Investment Management

by Mark H A Davis, Sebastien Lleo ...

Series Book 19 - Advanced Series On Statistical Science And Applied Probability
Over the last two decades, risk-sensitive control has evolved into an innovative and successful framework for solving dynamically a wide range of practical investment management problems.This book shows how to use risk-sensitive investment management to manage portfolios against an investment benchmark, with constraints, and with assets and liabilities. It also addresses model implementation ... Read more

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Over the last two decades, risk-sensitive control has evolved into an innovative and successful framework for solving dynamically a wide range of practical investment management problems.This book shows how to use risk-sensitive investment management to manage portfolios against an investment benchmark, with constraints, and with assets and liabilities. It also addresses model implementation
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Financial, Macro and Micro Econometrics Using R

by Hrishikesh D. Vinod, C.R. Rao ...

Series Book 42 - Handbook of Statistics
Financial, Macro and Micro Econometrics Using R, Volume 42, provides state-of-the-art information on important topics in econometrics, including multivariate GARCH, stochastic frontiers, fractional responses, specification testing and model selection, exogeneity testing, causal analysis and forecasting, GMM models, asset bubbles and crises, corporate investments, classification, forecasting, ... Read more

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Financial, Macro and Micro Econometrics Using R, Volume 42, provides state-of-the-art information on important topics in econometrics, including multivariate GARCH, stochastic frontiers, fractional responses, specification testing and model selection, exogeneity testing, causal analysis and forecasting, GMM models, asset bubbles and crises, corporate investments, classification, forecasting,
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Esercizi di matematica: processi stocastici

by Simone Malacrida ...

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:catene di Markov e processi stocastici markovianiprocessi stocastici tempo dipendenti e tempo indipendentipasseggiate aleatorie e moto brownianoSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi. ... Read more

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In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:catene di Markov e processi stocastici markovianiprocessi stocastici tempo dipendenti e tempo indipendentipasseggiate aleatorie e moto brownianoSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi.
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Open Quantum Systems

A Mathematical Perspective

Edited by Dorothea Bahns, Anke Pohl, Ingo Witt ...

Series series Tutorials, Schools, and Workshops in the Mathematical Sciences
This book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen, Germany. Starting from basic notions, the authors of these lecture notes accompany the reader on a journey up to ... Read more

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This book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics. The contributions are based on lectures given by distinguished experts at a summer school in Göttingen, Germany. Starting from basic notions, the authors of these lecture notes accompany the reader on a journey up to
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Stationary Processes and Discrete Parameter Markov Processes

by Rabi Bhattacharya, Edward C. Waymire ...

Series series Mathematics and Statistics (R0)
This textbook explores two distinct stochastic processes that evolve at random: weakly stationary processes and discrete parameter Markov processes. Building from simple examples, the authors focus on developing context and intuition before formalizing the theory of each topic. This inviting approach illuminates the key ideas and computations in the proofs, forming an ideal basis for further study ... Read more

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This textbook explores two distinct stochastic processes that evolve at random: weakly stationary processes and discrete parameter Markov processes. Building from simple examples, the authors focus on developing context and intuition before formalizing the theory of each topic. This inviting approach illuminates the key ideas and computations in the proofs, forming an ideal basis for further study
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Probability, Statistics, and Stochastic Processes for Engineers and Scientists

by Aliakbar Montazer Haghighi, Indika Wickramasinghe, Emmanuel A. Appiah ...

Series series Engineering Mathematics and Operations Research
2020 Taylor & Francis Award Winner for Outstanding New Textbook!Featuring recent advances in the field, this new textbook presents probability and statistics, and their applications in stochastic processes. This book presents key information for understanding the essential aspects of basic probability theory and concepts of reliability as an application. The purpose of this book is to provide an ... Read more

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2020 Taylor & Francis Award Winner for Outstanding New Textbook!Featuring recent advances in the field, this new textbook presents probability and statistics, and their applications in stochastic processes. This book presents key information for understanding the essential aspects of basic probability theory and concepts of reliability as an application. The purpose of this book is to provide an
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Applied Probability

From Random Sequences to Stochastic Processes

by Valérie Girardin, Nikolaos Limnios ...

This textbook addresses postgraduate students in applied mathematics, probability, and statistics, as well as computer scientists, biologists, physicists and economists, who are seeking a rigorous introduction to applied stochastic processes. Pursuing a pedagogic approach, the content follows a path of increasing complexity, from the simplest random sequences to the advanced stochastic processes. ... Read more

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This textbook addresses postgraduate students in applied mathematics, probability, and statistics, as well as computer scientists, biologists, physicists and economists, who are seeking a rigorous introduction to applied stochastic processes. Pursuing a pedagogic approach, the content follows a path of increasing complexity, from the simplest random sequences to the advanced stochastic processes.
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Stochastic Methods for Flow in Porous Media

Coping with Uncertainties

by Dongxiao Zhang ...

Stochastic Methods for Flow in Porous Media: Coping with Uncertainties explores fluid flow in complex geologic environments. The parameterization of uncertainty into flow models is important for managing water resources, preserving subsurface water quality, storing energy and wastes, and improving the safety and economics of extracting subsurface mineral and energy resources. This volume ... Read more

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Stochastic Methods for Flow in Porous Media: Coping with Uncertainties explores fluid flow in complex geologic environments. The parameterization of uncertainty into flow models is important for managing water resources, preserving subsurface water quality, storing energy and wastes, and improving the safety and economics of extracting subsurface mineral and energy resources. This volume
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Information Theory

by Prof. Robert B. Ash ...

Series series Dover Books on Mathematics
Developed by Claude Shannon and Norbert Wiener in the late 1940s, information theory, or statistical communication theory, deals with the theoretical underpinnings of a wide range of communication devices: radio, television, radar, computers, telegraphy, and more. This book is an excellent introduction to the mathematics underlying the theory.Designed for upper-level undergraduates and first-year ... Read more

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Developed by Claude Shannon and Norbert Wiener in the late 1940s, information theory, or statistical communication theory, deals with the theoretical underpinnings of a wide range of communication devices: radio, television, radar, computers, telegraphy, and more. This book is an excellent introduction to the mathematics underlying the theory.Designed for upper-level undergraduates and first-year
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An Introduction to Computational Stochastic PDEs

by Gabriel J. Lord, Catherine E. Powell, Tony Shardlow ...

Series Book 50 - Cambridge Texts in Applied Mathematics
This book gives a comprehensive introduction to numerical methods and analysis of stochastic processes, random fields and stochastic differential equations, and offers graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. Coverage includes traditional stochastic ODEs with white noise forcing, strong and weak approximation, and the multi ... Read more

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This book gives a comprehensive introduction to numerical methods and analysis of stochastic processes, random fields and stochastic differential equations, and offers graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. Coverage includes traditional stochastic ODEs with white noise forcing, strong and weak approximation, and the multi
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Understanding Behaviour of Distributed Systems Using mCRL2

by Muhammad Atif, Jan Friso Groote ...

Series series Engineering (R0)
This book helps readers easily learn basic model checking by presenting examples, exercises and case studies. The toolset mCRL2 provides a language to specify the behaviour of distributed systems, in particular where there is concurrency with inter-process communication. This language allows us to analyse a distributed system with respect to its functional requirements. For example, biological ... Read more

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This book helps readers easily learn basic model checking by presenting examples, exercises and case studies. The toolset mCRL2 provides a language to specify the behaviour of distributed systems, in particular where there is concurrency with inter-process communication. This language allows us to analyse a distributed system with respect to its functional requirements. For example, biological
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Mathematical Principles of the Internet, Volume 2

Mathematics

by Nirdosh Bhatnagar ...

Series series Chapman & Hall/CRC Computer and Information Science Series
This two-volume set on***Mathematical Principles of the Internet*** provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles.Volume 1 explores Internet engineering, while the supporting mathematics is ... Read more

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This two-volume set on***Mathematical Principles of the Internet*** provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles.Volume 1 explores Internet engineering, while the supporting mathematics is
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Fundamentals of Queueing-Game Models

by Jinting Wang ...

Series series Mathematics and Statistics (R0)
This book provides an in-depth study of queueing game models, involving interdisciplinary fields such as queueing theory, game theory, optimization theory, statistics, and economics. Studies on queueing-game models have attracted scientists and engineers from various disciplines, and these studies have potential applications to various management issues arising from service science, management ... Read more

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This book provides an in-depth study of queueing game models, involving interdisciplinary fields such as queueing theory, game theory, optimization theory, statistics, and economics. Studies on queueing-game models have attracted scientists and engineers from various disciplines, and these studies have potential applications to various management issues arising from service science, management
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Elements Of Stochastic Modelling (2nd Edition)

by Konstantin Borovkov ...

This is the expanded second edition of a successful textbook that provides a broad introduction to important areas of stochastic modelling. The original text was developed from lecture notes for a one-semester course for third-year science and actuarial students at the University of Melbourne. It reviewed the basics of probability theory and then covered the following topics: Markov chains, Markov ... Read more

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This is the expanded second edition of a successful textbook that provides a broad introduction to important areas of stochastic modelling. The original text was developed from lecture notes for a one-semester course for third-year science and actuarial students at the University of Melbourne. It reviewed the basics of probability theory and then covered the following topics: Markov chains, Markov
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Path Integrals For Stochastic Processes: An Introduction

by Horacio Sergio Wio ...

This book provides an introductory albeit solid presentation of path integration techniques as applied to the field of stochastic processes. The subject began with the work of Wiener during the 1920's, corresponding to a sum over random trajectories, anticipating by two decades Feynman's famous work on the path integral representation of quantum mechanics. However, the true trigger for the ... Read more

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This book provides an introductory albeit solid presentation of path integration techniques as applied to the field of stochastic processes. The subject began with the work of Wiener during the 1920's, corresponding to a sum over random trajectories, anticipating by two decades Feynman's famous work on the path integral representation of quantum mechanics. However, the true trigger for the
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Recommended For You

Probability eBooks

Multifractional Stochastic Fields: Wavelet Strategies In Multifractional Frameworks

Probability for Finance

Advances on Theoretical and Methodological Aspects of Probability and Statistics

Modeling Anomalous Diffusion: From Statistics To Mathematics

Measures, Integrals and Martingales

Introduction to Stochastic Processes

Mathematical Music

Computation and Modelling in Insurance and Finance

Urn Models and Their Applications in Finance

Risk-sensitive Investment Management

Financial, Macro and Micro Econometrics Using R

Esercizi di matematica: processi stocastici

Open Quantum Systems

Stationary Processes and Discrete Parameter Markov Processes

Probability, Statistics, and Stochastic Processes for Engineers and Scientists

Applied Probability

Stochastic Methods for Flow in Porous Media

Information Theory

An Introduction to Computational Stochastic PDEs

Understanding Behaviour of Distributed Systems Using mCRL2

Mathematical Principles of the Internet, Volume 2

Fundamentals of Queueing-Game Models

Elements Of Stochastic Modelling (2nd Edition)

Path Integrals For Stochastic Processes: An Introduction