Entropy Coherent And Entropy Convex Measures Of Risk

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Breakthroughs in Decision Science and Risk Analysis

Author : Louis Anthony Cox, Jr.
Publisher : John Wiley & Sons
ISBN 13 : 1118938895
Total Pages : 328 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Breakthroughs in Decision Science and Risk Analysis by : Louis Anthony Cox, Jr.

Download or read book Breakthroughs in Decision Science and Risk Analysis written by Louis Anthony Cox, Jr. and published by John Wiley & Sons. This book was released on 2015-02-23 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover recent powerful advances in the theory, methods, and applications of decision and risk analysis Focusing on modern advances and innovations in the field of decision analysis (DA), Breakthroughs in Decision Science and Risk Analysis presents theories and methods for making, improving, and learning from significant practical decisions. The book explains these new methods and important applications in an accessible and stimulating style for readers from multiple backgrounds, including psychology, economics, statistics, engineering, risk analysis, operations research, and management science. Highlighting topics not conventionally found in DA textbooks, the book illustrates genuine advances in practical decision science, including developments and trends that depart from, or break with, the standard axiomatic DA paradigm in fundamental and useful ways. The book features methods for coping with realistic decision-making challenges such as online adaptive learning algorithms, innovations in robust decision-making, and the use of a variety of models to explain available data and recommend actions. In addition, the book illustrates how these techniques can be applied to dramatically improve risk management decisions. Breakthroughs in Decision Science and Risk Analysis also includes: An emphasis on new approaches rather than only classical and traditional ideas Discussions of how decision and risk analysis can be applied to improve high-stakes policy and management decisions Coverage of the potential value and realism of decision science within applications in financial, health, safety, environmental, business, engineering, and security risk management Innovative methods for deciding what actions to take when decision problems are not completely known or described or when useful probabilities cannot be specified Recent breakthroughs in the psychology and brain science of risky decisions, mathematical foundations and techniques, and integration with learning and pattern recognition methods from computational intelligence Breakthroughs in Decision Science and Risk Analysis is an ideal reference for researchers, consultants, and practitioners in the fields of decision science, operations research, business, management science, engineering, statistics, and mathematics. The book is also an appropriate guide for managers, analysts, and decision and policy makers in the areas of finance, health and safety, environment, business, engineering, and security risk management.

Stochastic Finance

Author : Hans Föllmer
Publisher : Walter de Gruyter
ISBN 13 : 3110218046
Total Pages : 557 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Stochastic Finance by : Hans Föllmer

Download or read book Stochastic Finance written by Hans Föllmer and published by Walter de Gruyter. This book was released on 2011 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third, revised and extended edition of the classical introduction to the mathematics of finance, based on stochastic models in discrete time. In the first part of the book simple one-period models are studied, in the second part the idea

Improving Risk Analysis

Author : Louis Anthony Cox Jr.
Publisher : Springer Science & Business Media
ISBN 13 : 1461460581
Total Pages : 403 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Improving Risk Analysis by : Louis Anthony Cox Jr.

Download or read book Improving Risk Analysis written by Louis Anthony Cox Jr. and published by Springer Science & Business Media. This book was released on 2013-02-03 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Improving Risk Analysis shows how to better assess and manage uncertain risks when the consequences of alternative actions are in doubt. The constructive methods of causal analysis and risk modeling presented in this monograph will enable to better understand uncertain risks and decide how to manage them. The book is divided into three parts. Parts 1 shows how high-quality risk analysis can improve the clarity and effectiveness of individual, community, and enterprise decisions when the consequences of different choices are uncertain. Part 2 discusses social decisions. Part 3 illustrates these methods and models, showing how to apply them to health effects of particulate air pollution. "Tony Cox’s new book addresses what risk analysts and policy makers most need to know: How to find out what causes what, and how to quantify the practical differences that changes in risk management practices would make. The constructive methods in Improving Risk Analysis will be invaluable in helping practitioners to deliver more useful insights to inform high-stakes decisions and policy,in areas ranging from disaster planning to counter-terrorism investments to enterprise risk management to air pollution abatement policies. Better risk management is possible and practicable; Improving Risk Analysis explains how." Elisabeth Pate-Cornell, Stanford University "Improving Risk Analysis offers crucial advice for moving policy-relevant risk analyses towards more defensible, causally-based methods. Tony Cox draws on his extensive experience to offer sound advice and insights that will be invaluable to both policy makers and analysts in strengthening the foundations for important risk analyses. This much-needed book should be required reading for policy makers and policy analysts confronting uncertain risks and seeking more trustworthy risk analyses." Seth Guikema, Johns Hopkins University "Tony Cox has been a trail blazer in quantitative risk analysis, and his new book gives readers the knowledge and tools needed to cut through the complexity and advocacy inherent in risk analysis. Cox’s careful exposition is detailed and thorough, yet accessible to non-technical readers interested in understanding uncertain risks and the outcomes associated with different mitigation actions. Improving Risk Analysis should be required reading for public officials responsible for making policy decisions about how best to protect public health and safety in an uncertain world." Susan E. Dudley, George Washington University

AI-ML for Decision and Risk Analysis

Author : Louis Anthony Cox Jr.
Publisher : Springer Nature
ISBN 13 : 3031320131
Total Pages : 443 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis AI-ML for Decision and Risk Analysis by : Louis Anthony Cox Jr.

Download or read book AI-ML for Decision and Risk Analysis written by Louis Anthony Cox Jr. and published by Springer Nature. This book was released on 2023-07-05 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains and illustrates recent developments and advances in decision-making and risk analysis. It demonstrates how artificial intelligence (AI) and machine learning (ML) have not only benefitted from classical decision analysis concepts such as expected utility maximization but have also contributed to making normative decision theory more useful by forcing it to confront realistic complexities. These include skill acquisition, uncertain and time-consuming implementation of intended actions, open-world uncertainties about what might happen next and what consequences actions can have, and learning to cope effectively with uncertain and changing environments. The result is a more robust and implementable technology for AI/ML-assisted decision-making. The book is intended to inform a wide audience in related applied areas and to provide a fun and stimulating resource for students, researchers, and academics in data science and AI-ML, decision analysis, and other closely linked academic fields. It will also appeal to managers, analysts, decision-makers, and policymakers in financial, health and safety, environmental, business, engineering, and security risk management.

Advances in Finance and Stochastics

Author : Klaus Sandmann
Publisher : Springer Science & Business Media
ISBN 13 : 9783540434641
Total Pages : 346 pages
Book Rating : 4.4/5 (346 download)

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Book Synopsis Advances in Finance and Stochastics by : Klaus Sandmann

Download or read book Advances in Finance and Stochastics written by Klaus Sandmann and published by Springer Science & Business Media. This book was released on 2002-04-23 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many areas of finance and stochastics, significant advances have been made since this field of research was opened by Black, Scholes and Merton in 1973. This volume contains a collection of original articles by a number of highly distinguished authors, on research topics that are currently in the focus of interest of both academics and practitioners.

Trends in Mathematical, Information and Data Sciences

Author : Narayanaswamy Balakrishnan
Publisher : Springer Nature
ISBN 13 : 3031041372
Total Pages : 450 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Trends in Mathematical, Information and Data Sciences by : Narayanaswamy Balakrishnan

Download or read book Trends in Mathematical, Information and Data Sciences written by Narayanaswamy Balakrishnan and published by Springer Nature. This book was released on 2022-06-27 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book involves ideas/results from the topics of mathematical, information, and data sciences, in connection with the main research interests of Professor Pardo that can be summarized as Information Theory with Applications to Statistical Inference. This book is a tribute to Professor Leandro Pardo, who has chaired the Department of Statistics and OR of the Complutense University in Madrid, and he has been also President of the Spanish Society of Statistics and Operations Research. In this way, the contributions have been structured into three parts, which often overlap to a greater or lesser extent, namely Trends in Mathematical Sciences (Part I) Trends in Information Sciences (Part II) Trends in Data Sciences (Part III) The contributions gathered in this book have offered either new developments from a theoretical and/or computational and/or applied point of view, or reviews of recent literature of outstanding developments. They have been applied through nice examples in climatology, chemistry, economics, engineering, geology, health sciences, physics, pandemics, and socioeconomic indicators. Consequently, the intended audience of this book is mainly statisticians, mathematicians, computer scientists, and so on, but users of these disciplines as well as experts in the involved applications may certainly find this book a very interesting read.

Handbook Of The Fundamentals Of Financial Decision Making (In 2 Parts)

Author : Leonard C Maclean
Publisher : World Scientific
ISBN 13 : 981441736X
Total Pages : 941 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Handbook Of The Fundamentals Of Financial Decision Making (In 2 Parts) by : Leonard C Maclean

Download or read book Handbook Of The Fundamentals Of Financial Decision Making (In 2 Parts) written by Leonard C Maclean and published by World Scientific. This book was released on 2013-05-10 with total page 941 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook in two parts covers key topics of the theory of financial decision making. Some of the papers discuss real applications or case studies as well. There are a number of new papers that have never been published before especially in Part II.Part I is concerned with Decision Making Under Uncertainty. This includes subsections on Arbitrage, Utility Theory, Risk Aversion and Static Portfolio Theory, and Stochastic Dominance. Part II is concerned with Dynamic Modeling that is the transition for static decision making to multiperiod decision making. The analysis starts with Risk Measures and then discusses Dynamic Portfolio Theory, Tactical Asset Allocation and Asset-Liability Management Using Utility and Goal Based Consumption-Investment Decision Models.A comprehensive set of problems both computational and review and mind expanding with many unsolved problems are in an accompanying problems book. The handbook plus the book of problems form a very strong set of materials for PhD and Masters courses both as the main or as supplementary text in finance theory, financial decision making and portfolio theory. For researchers, it is a valuable resource being an up to date treatment of topics in the classic books on these topics by Johnathan Ingersoll in 1988, and William Ziemba and Raymond Vickson in 1975 (updated 2nd edition published in 2006).

Quantitative Risk Management

Author : Alexander J. McNeil
Publisher : Princeton University Press
ISBN 13 : 0691166277
Total Pages : 720 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Quantitative Risk Management by : Alexander J. McNeil

Download or read book Quantitative Risk Management written by Alexander J. McNeil and published by Princeton University Press. This book was released on 2015-05-26 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the most comprehensive treatment of the theoretical concepts and modelling techniques of quantitative risk management. Whether you are a financial risk analyst, actuary, regulator or student of quantitative finance, Quantitative Risk Management gives you the practical tools you need to solve real-world problems. Describing the latest advances in the field, Quantitative Risk Management covers the methods for market, credit and operational risk modelling. It places standard industry approaches on a more formal footing and explores key concepts such as loss distributions, risk measures and risk aggregation and allocation principles. The book's methodology draws on diverse quantitative disciplines, from mathematical finance and statistics to econometrics and actuarial mathematics. A primary theme throughout is the need to satisfactorily address extreme outcomes and the dependence of key risk drivers. Proven in the classroom, the book also covers advanced topics like credit derivatives. Fully revised and expanded to reflect developments in the field since the financial crisis Features shorter chapters to facilitate teaching and learning Provides enhanced coverage of Solvency II and insurance risk management and extended treatment of credit risk, including counterparty credit risk and CDO pricing Includes a new chapter on market risk and new material on risk measures and risk aggregation

Encyclopedia of Financial Models, Volume III

Author : Frank J. Fabozzi
Publisher : John Wiley & Sons
ISBN 13 : 1118539907
Total Pages : 734 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Encyclopedia of Financial Models, Volume III by : Frank J. Fabozzi

Download or read book Encyclopedia of Financial Models, Volume III written by Frank J. Fabozzi and published by John Wiley & Sons. This book was released on 2012-09-12 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 3 of the Encyclopedia of Financial Models The need for serious coverage of financial modeling has never been greater, especially with the size, diversity, and efficiency of modern capital markets. With this in mind, the Encyclopedia of Financial Models has been created to help a broad spectrum of individuals—ranging from finance professionals to academics and students—understand financial modeling and make use of the various models currently available. Incorporating timely research and in-depth analysis, Volume 3 of the Encyclopedia of Financial Models covers both established and cutting-edge models and discusses their real-world applications. Edited by Frank Fabozzi, this volume includes contributions from global financial experts as well as academics with extensive consulting experience in this field. Organized alphabetically by category, this reliable resource consists of forty-four informative entries and provides readers with a balanced understanding of today’s dynamic world of financial modeling. Volume 3 covers Mortgage-Backed Securities Analysis and Valuation, Operational Risk, Optimization Tools, Probability Theory, Risk Measures, Software for Financial Modeling, Stochastic Processes and Tools, Term Structure Modeling, Trading Cost Models, and Volatility Emphasizes both technical and implementation issues, providing researchers, educators, students, and practitioners with the necessary background to deal with issues related to financial modeling The 3-Volume Set contains coverage of the fundamentals and advances in financial modeling and provides the mathematical and statistical techniques needed to develop and test financial models Financial models have become increasingly commonplace, as well as complex. They are essential in a wide range of financial endeavors, and the Encyclopedia of Financial Models will help put them in perspective.

Stochastic Analysis and Applications to Finance

Author : Tusheng Zhang
Publisher : World Scientific
ISBN 13 : 9814383570
Total Pages : 465 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Stochastic Analysis and Applications to Finance by : Tusheng Zhang

Download or read book Stochastic Analysis and Applications to Finance written by Tusheng Zhang and published by World Scientific. This book was released on 2012 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of solicited and refereed articles from distinguished researchers across the field of stochastic analysis and its application to finance. It covers the topics ranging from Markov processes, backward stochastic differential equations, stochastic partial differential equations, and stochastic control, to risk measure and risk theory.

Pricing Insurance Risk

Author : Stephen J. Mildenhall
Publisher : John Wiley & Sons
ISBN 13 : 1119756529
Total Pages : 564 pages
Book Rating : 4.1/5 (197 download)

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Book Synopsis Pricing Insurance Risk by : Stephen J. Mildenhall

Download or read book Pricing Insurance Risk written by Stephen J. Mildenhall and published by John Wiley & Sons. This book was released on 2022-05-25 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: PRICING INSURANCE RISK A comprehensive framework for measuring, valuing, and managing risk Pricing Insurance Risk: Theory and Practice delivers an accessible and authoritative account of how to determine the premium for a portfolio of non-hedgeable insurance risks and how to allocate it fairly to each portfolio component. The authors synthesize hundreds of academic research papers, bringing to light little-appreciated answers to fundamental questions about the relationships between insurance risk, capital, and premium. They lean on their industry experience throughout to connect the theory to real-world practice, such as assessing the performance of business units, evaluating risk transfer options, and optimizing portfolio mix. Readers will discover: Definitions, classifications, and specifications of risk An in-depth treatment of classical risk measures and premium calculation principles Properties of risk measures and their visualization A logical framework for spectral and coherent risk measures How risk measures for capital and pricing are distinct but interact Why the cost of capital, not capital itself, should be allocated The natural allocation method and how it unifies marginal and risk-adjusted probability approaches Applications to reserve risk, reinsurance, asset risk, franchise value, and portfolio optimization Perfect for actuaries working in the non-life or general insurance and reinsurance sectors, Pricing Insurance Risk: Theory and Practice is also an indispensable resource for banking and finance professionals, as well as risk management professionals seeking insight into measuring the value of their efforts to mitigate, transfer, or bear nonsystematic risk.

Stochastic Finance

Author : Hans Föllmer
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110463458
Total Pages : 608 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Stochastic Finance by : Hans Föllmer

Download or read book Stochastic Finance written by Hans Föllmer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-07-25 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to financial mathematics. It is intended for graduate students in mathematics and for researchers working in academia and industry. The focus on stochastic models in discrete time has two immediate benefits. First, the probabilistic machinery is simpler, and one can discuss right away some of the key problems in the theory of pricing and hedging of financial derivatives. Second, the paradigm of a complete financial market, where all derivatives admit a perfect hedge, becomes the exception rather than the rule. Thus, the need to confront the intrinsic risks arising from market incomleteness appears at a very early stage. The first part of the book contains a study of a simple one-period model, which also serves as a building block for later developments. Topics include the characterization of arbitrage-free markets, preferences on asset profiles, an introduction to equilibrium analysis, and monetary measures of financial risk. In the second part, the idea of dynamic hedging of contingent claims is developed in a multiperiod framework. Topics include martingale measures, pricing formulas for derivatives, American options, superhedging, and hedging strategies with minimal shortfall risk. This fourth, newly revised edition contains more than one hundred exercises. It also includes material on risk measures and the related issue of model uncertainty, in particular a chapter on dynamic risk measures and sections on robust utility maximization and on efficient hedging with convex risk measures. Contents: Part I: Mathematical finance in one period Arbitrage theory Preferences Optimality and equilibrium Monetary measures of risk Part II: Dynamic hedging Dynamic arbitrage theory American contingent claims Superhedging Efficient hedging Hedging under constraints Minimizing the hedging error Dynamic risk measures

Seminar on Stochastic Analysis, Random Fields and Applications VI

Author : Robert Dalang
Publisher : Springer Science & Business Media
ISBN 13 : 3034800215
Total Pages : 487 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Seminar on Stochastic Analysis, Random Fields and Applications VI by : Robert Dalang

Download or read book Seminar on Stochastic Analysis, Random Fields and Applications VI written by Robert Dalang and published by Springer Science & Business Media. This book was released on 2011-03-16 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains refereed research or review papers presented at the 6th Seminar on Stochastic Processes, Random Fields and Applications, which took place at the Centro Stefano Franscini (Monte Verità) in Ascona, Switzerland, in May 2008. The seminar focused mainly on stochastic partial differential equations, especially large deviations and control problems, on infinite dimensional analysis, particle systems and financial engineering, especially energy markets and climate models. The book will be a valuable resource for researchers in stochastic analysis and professionals interested in stochastic methods in finance.

Aspects of Mathematical Finance

Author : Marc Yor
Publisher : Springer Science & Business Media
ISBN 13 : 354075265X
Total Pages : 83 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Aspects of Mathematical Finance by : Marc Yor

Download or read book Aspects of Mathematical Finance written by Marc Yor and published by Springer Science & Business Media. This book was released on 2008-02-13 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays is based on lectures given at the "Académie des Sciences" in Paris by internationally renowned experts in mathematical finance. The collection develops, in simple yet rigorous terms, some challenging topics such as risk measures, the notion of arbitrage, dynamic models involving fundamental stochastic processes like Brownian motion and Lévy processes. The book also features a description of the trainings of French financial analysts.

Trends in Mathematical Economics

Author : Alberto A. Pinto
Publisher : Springer
ISBN 13 : 3319325434
Total Pages : 384 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Trends in Mathematical Economics by : Alberto A. Pinto

Download or read book Trends in Mathematical Economics written by Alberto A. Pinto and published by Springer. This book was released on 2016-07-30 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers carefully selected works in Mathematical Economics, on myriad topics including General Equilibrium, Game Theory, Economic Growth, Welfare, Social Choice Theory, Finance. It sheds light on the ongoing discussions that have brought together leading researchers from Latin America and Southern Europe at recent conferences in venues like Porto, Portugal; Athens, Greece; and Guanajuato, Mexico. With this volume, the editors not only contribute to the advancement of research in these areas, but also inspire other scholars around the globe to collaborate and research these vibrant, emerging topics.

Mathematics of Finance

Author : George Yin
Publisher : American Mathematical Soc.
ISBN 13 : 0821834126
Total Pages : 414 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematics of Finance by : George Yin

Download or read book Mathematics of Finance written by George Yin and published by American Mathematical Soc.. This book was released on 2004 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains papers based on talks given at the first AMS-IMS-SIAM Joint Summer Research Conference on Mathematics of Finance held at Snowbird. This book includes such topics as modeling, estimation, optimization, control, and risk assessment and management. It is suitable for students interested in mathematical finance.

Loss Data Analysis

Author : Henryk Gzyl
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111048187
Total Pages : 222 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis Loss Data Analysis by : Henryk Gzyl

Download or read book Loss Data Analysis written by Henryk Gzyl and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-03-06 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with two complementary topics. On one hand the book deals with the problem of determining the the probability distribution of a positive compound random variable, a problem which appears in the banking and insurance industries, in many areas of operational research and in reliability problems in the engineering sciences. On the other hand, the methodology proposed to solve such problems, which is based on an application of the maximum entropy method to invert the Laplace transform of the distributions, can be applied to many other problems. The book contains applications to a large variety of problems, including the problem of dependence of the sample data used to estimate empirically the Laplace transform of the random variable. Contents Introduction Frequency models Individual severity models Some detailed examples Some traditional approaches to the aggregation problem Laplace transforms and fractional moment problems The standard maximum entropy method Extensions of the method of maximum entropy Superresolution in maxentropic Laplace transform inversion Sample data dependence Disentangling frequencies and decompounding losses Computations using the maxentropic density Review of statistical procedures