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Mathematical Risk Analysis

Mathematical Risk Analysis
Author: Ludger Rüschendorf
Publisher: Springer Science & Business Media
Total Pages: 414
Release: 2013-03-12
Genre: Mathematics
ISBN: 364233590X

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The author's particular interest in the area of risk measures is to combine this theory with the analysis of dependence properties. The present volume gives an introduction of basic concepts and methods in mathematical risk analysis, in particular of those parts of risk theory that are of special relevance to finance and insurance. Describing the influence of dependence in multivariate stochastic models on risk vectors is the main focus of the text that presents main ideas and methods as well as their relevance to practical applications. The first part introduces basic probabilistic tools and methods of distributional analysis, and describes their use to the modeling of dependence and to the derivation of risk bounds in these models. In the second, part risk measures with a particular focus on those in the financial and insurance context are presented. The final parts are then devoted to applications relevant to optimal risk allocation, optimal portfolio problems as well as to the optimization of insurance contracts. Good knowledge of basic probability and statistics as well as of basic general mathematics is a prerequisite for comfortably reading and working with the present volume, which is intended for graduate students, practitioners and researchers and can serve as a reference resource for the main concepts and techniques.


Probability and Risk Analysis

Probability and Risk Analysis
Author: Igor Rychlik
Publisher: Springer Science & Business Media
Total Pages: 287
Release: 2006-10-07
Genre: Mathematics
ISBN: 3540395210

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This text presents notions and ideas at the foundations of a statistical treatment of risks. The focus is on statistical applications within the field of engineering risk and safety analysis. Coverage includes Bayesian methods. Such knowledge facilitates the understanding of the influence of random phenomena and gives a deeper understanding of the role of probability in risk analysis. The text is written for students who have studied elementary undergraduate courses in engineering mathematics, perhaps including a minor course in statistics. This book differs from typical textbooks in its verbal approach to many explanations and examples.


Mathematical Methods in Risk Theory

Mathematical Methods in Risk Theory
Author: Hans Bühlmann
Publisher: Springer Science & Business Media
Total Pages: 218
Release: 2007-06-15
Genre: Mathematics
ISBN: 3540307117

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From the reviews: "The huge literature in risk theory has been carefully selected and supplemented by personal contributions of the author, many of which appear here for the first time. The result is a systematic and very readable book, which takes into account the most recent developments of the field. It will be of great interest to the actuary as well as to the statistician . . ." -- Math. Reviews Vol. 43


Probabilistic Risk Analysis

Probabilistic Risk Analysis
Author: Tim Bedford
Publisher: Cambridge University Press
Total Pages: 228
Release: 2001-04-30
Genre: Mathematics
ISBN: 9780521773201

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A graduate level textbook on probabilistic risk analysis, aimed at statisticians, operations researchers and engineers.


Risk Analysis in Finance and Insurance

Risk Analysis in Finance and Insurance
Author: Alexander Melnikov
Publisher: CRC Press
Total Pages: 267
Release: 2003-09-25
Genre: Mathematics
ISBN: 0203498577

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Historically, financial and insurance risks were separate subjects most often analyzed using qualitative methods. The development of quantitative methods based on stochastic analysis is an important achievement of modern financial mathematics, one that can naturally be extended and applied in actuarial mathematics. Risk Analysis in Finance


Essential Mathematics for Market Risk Management

Essential Mathematics for Market Risk Management
Author: Simon Hubbert
Publisher: John Wiley & Sons
Total Pages: 354
Release: 2012-01-17
Genre: Business & Economics
ISBN: 1119979528

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Everything you need to know in order to manage risk effectively within your organization You cannot afford to ignore the explosion in mathematical finance in your quest to remain competitive. This exciting branch of mathematics has very direct practical implications: when a new model is tested and implemented it can have an immediate impact on the financial environment. With risk management top of the agenda for many organizations, this book is essential reading for getting to grips with the mathematical story behind the subject of financial risk management. It will take you on a journey—from the early ideas of risk quantification up to today's sophisticated models and approaches to business risk management. To help you investigate the most up-to-date, pioneering developments in modern risk management, the book presents statistical theories and shows you how to put statistical tools into action to investigate areas such as the design of mathematical models for financial volatility or calculating the value at risk for an investment portfolio. Respected academic author Simon Hubbert is the youngest director of a financial engineering program in the U.K. He brings his industry experience to his practical approach to risk analysis Captures the essential mathematical tools needed to explore many common risk management problems Website with model simulations and source code enables you to put models of risk management into practice Plunges into the world of high-risk finance and examines the crucial relationship between the risk and the potential reward of holding a portfolio of risky financial assets This book is your one-stop-shop for effective risk management.


Mathematics and Statistics for Financial Risk Management

Mathematics and Statistics for Financial Risk Management
Author: Michael B. Miller
Publisher: John Wiley & Sons
Total Pages: 341
Release: 2013-12-31
Genre: Business & Economics
ISBN: 1118750292

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Mathematics and Statistics for Financial Risk Management is a practical guide to modern financial risk management for both practitioners and academics. Now in its second edition with more topics, more sample problems and more real world examples, this popular guide to financial risk management introduces readers to practical quantitative techniques for analyzing and managing financial risk. In a concise and easy-to-read style, each chapter introduces a different topic in mathematics or statistics. As different techniques are introduced, sample problems and application sections demonstrate how these techniques can be applied to actual risk management problems. Exercises at the end of each chapter and the accompanying solutions at the end of the book allow readers to practice the techniques they are learning and monitor their progress. A companion Web site includes interactive Excel spreadsheet examples and templates. Mathematics and Statistics for Financial Risk Management is an indispensable reference for today’s financial risk professional.


Extreme Value Modeling and Risk Analysis

Extreme Value Modeling and Risk Analysis
Author: Dipak K. Dey
Publisher: CRC Press
Total Pages: 538
Release: 2016-01-06
Genre: Mathematics
ISBN: 1498701310

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Extreme Value Modeling and Risk Analysis: Methods and Applications presents a broad overview of statistical modeling of extreme events along with the most recent methodologies and various applications. The book brings together background material and advanced topics, eliminating the need to sort through the massive amount of literature on the subje


Risk Analysis in Engineering

Risk Analysis in Engineering
Author: Mohammad Modarres
Publisher: CRC Press
Total Pages: 408
Release: 2016-04-27
Genre: Mathematics
ISBN: 1420003496

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Based on the author's 20 years of teaching, Risk Analysis in Engineering: Techniques, Tools, and Trends presents an engineering approach to probabilistic risk analysis (PRA). It emphasizes methods for comprehensive PRA studies, including techniques for risk management. The author assumes little or no prior knowledge of risk analysis on the p


Business Risk Management

Business Risk Management
Author: Edward J. Anderson
Publisher: John Wiley & Sons
Total Pages: 336
Release: 2013-10-23
Genre: Mathematics
ISBN: 1118749367

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A comprehensive and accessible introduction to modern quantitative risk management. The business world is rife with risk and uncertainty, and risk management is a vitally important topic for managers. The best way to achieve a clear understanding of risk is to use quantitative tools and probability models. Written for students, this book has a quantitative emphasis but is accessible to those without a strong mathematical background. Business Risk Management: Models and Analysis Discusses novel modern approaches to risk management Introduces advanced topics in an accessible manner Includes motivating worked examples and exercises (including selected solutions) Is written with the student in mind, and does not assume advanced mathematics Is suitable for self-study by the manager who wishes to better understand this important field. Aimed at postgraduate students, this book is also suitable for senior undergraduates, MBA students, and all those who have a general interest in business risk.