Heavy-Tailed Distributions and Robustness in Economics and Finance

Heavy-Tailed Distributions and Robustness in Economics and Finance PDF Author: Marat Ibragimov
Publisher: Springer
ISBN: 3319168770
Category : Business & Economics
Languages : en
Pages : 131

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Book Description
This book focuses on general frameworks for modeling heavy-tailed distributions in economics, finance, econometrics, statistics, risk management and insurance. A central theme is that of (non-)robustness, i.e., the fact that the presence of heavy tails can either reinforce or reverse the implications of a number of models in these fields, depending on the degree of heavy-tailed ness. These results motivate the development and applications of robust inference approaches under heavy tails, heterogeneity and dependence in observations. Several recently developed robust inference approaches are discussed and illustrated, together with applications.

Heavy-Tailed Distributions and Robustness in Economics and Finance

Heavy-Tailed Distributions and Robustness in Economics and Finance PDF Author: Marat Ibragimov
Publisher: Springer
ISBN: 3319168770
Category : Business & Economics
Languages : en
Pages : 131

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Book Description
This book focuses on general frameworks for modeling heavy-tailed distributions in economics, finance, econometrics, statistics, risk management and insurance. A central theme is that of (non-)robustness, i.e., the fact that the presence of heavy tails can either reinforce or reverse the implications of a number of models in these fields, depending on the degree of heavy-tailed ness. These results motivate the development and applications of robust inference approaches under heavy tails, heterogeneity and dependence in observations. Several recently developed robust inference approaches are discussed and illustrated, together with applications.

Heavy Tails And Copulas: Topics In Dependence Modelling In Economics And Finance

Heavy Tails And Copulas: Topics In Dependence Modelling In Economics And Finance PDF Author: Ibragimov Rustam
Publisher: World Scientific
ISBN: 9814689815
Category : Business & Economics
Languages : en
Pages : 304

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Book Description
This book offers a unified approach to the study of crises, large fluctuations, dependence and contagion effects in economics and finance. It covers important topics in statistical modeling and estimation, which combine the notions of copulas and heavy tails — two particularly valuable tools of today's research in economics, finance, econometrics and other fields — in order to provide a new way of thinking about such vital problems as diversification of risk and propagation of crises through financial markets due to contagion phenomena, among others. The aim is to arm today's economists with a toolbox suited for analyzing multivariate data with many outliers and with arbitrary dependence patterns. The methods and topics discussed and used in the book include, in particular, majorization theory, heavy-tailed distributions and copula functions — all applied to study robustness of economic, financial and statistical models, and estimation methods to heavy tails and dependence.

Handbook of Heavy Tailed Distributions in Finance

Handbook of Heavy Tailed Distributions in Finance PDF Author: S.T Rachev
Publisher: Elsevier
ISBN: 9780080557731
Category : Business & Economics
Languages : en
Pages : 704

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Book Description
The Handbooks in Finance are intended to be a definitive source for comprehensive and accessible information in the field of finance. Each individual volume in the series should present an accurate self-contained survey of a sub-field of finance, suitable for use by finance and economics professors and lecturers, professional researchers, graduate students and as a teaching supplement. The goal is to have a broad group of outstanding volumes in various areas of finance. The Handbook of Heavy Tailed Distributions in Finance is the first handbook to be published in this series. This volume presents current research focusing on heavy tailed distributions in finance. The contributions cover methodological issues, i.e., probabilistic, statistical and econometric modelling under non- Gaussian assumptions, as well as the applications of the stable and other non -Gaussian models in finance and risk management.

Handbook Of Heavy-tailed Distributions In Asset Management And Risk Management

Handbook Of Heavy-tailed Distributions In Asset Management And Risk Management PDF Author: Michele Leonardo Bianchi
Publisher: World Scientific
ISBN: 9813276215
Category : Business & Economics
Languages : en
Pages : 598

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Book Description
The study of heavy-tailed distributions allows researchers to represent phenomena that occasionally exhibit very large deviations from the mean. The dynamics underlying these phenomena is an interesting theoretical subject, but the study of their statistical properties is in itself a very useful endeavor from the point of view of managing assets and controlling risk. In this book, the authors are primarily concerned with the statistical properties of heavy-tailed distributions and with the processes that exhibit jumps. A detailed overview with a Matlab implementation of heavy-tailed models applied in asset management and risk managements is presented. The book is not intended as a theoretical treatise on probability or statistics, but as a tool to understand the main concepts regarding heavy-tailed random variables and processes as applied to real-world applications in finance. Accordingly, the authors review approaches and methodologies whose realization will be useful for developing new methods for forecasting of financial variables where extreme events are not treated as anomalies, but as intrinsic parts of the economic process.

Essays in Honor of Joon Y. Park

Essays in Honor of Joon Y. Park PDF Author: Yoosoon Chang
Publisher: Emerald Group Publishing
ISBN: 1837532141
Category : Business & Economics
Languages : en
Pages : 382

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Book Description
Volumes 45a and 45b of Advances in Econometrics honor Professor Joon Y. Park, who has made numerous and substantive contributions to the field of econometrics over a career spanning four decades since the 1980s and counting.

Inequalities and Extremal Problems in Probability and Statistics

Inequalities and Extremal Problems in Probability and Statistics PDF Author: Iosif Pinelis
Publisher: Academic Press
ISBN: 0128098929
Category : Mathematics
Languages : en
Pages : 198

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Book Description
Inequalities and Extremal Problems in Probability and Statistics: Selected Topics presents various kinds of useful inequalities that are applicable in many areas of mathematics, the sciences, and engineering. The book enables the reader to grasp the importance of inequalities and how they relate to probability and statistics. This will be an extremely useful book for researchers and graduate students in probability, statistics, and econometrics, as well as specialists working across sciences, engineering, financial mathematics, insurance, and mathematical modeling of large risks. Teaches users how to understand useful inequalities Applicable across mathematics, sciences, and engineering Presented by a team of leading experts

Statistics

Statistics PDF Author: Karim M. Abadir
Publisher: Cambridge University Press
ISBN: 0521822882
Category : Business & Economics
Languages : en
Pages : 793

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Book Description
Serves as a bridge between elementary and specialized statistics, with exercises that are fully solved and systematically built up.

Handbook of Heavy-tailed Distributions in Asset Management and Risk Management

Handbook of Heavy-tailed Distributions in Asset Management and Risk Management PDF Author: Michele Leonardo Bianchi
Publisher:
ISBN: 9789813276208
Category : Asset management accounts
Languages : en
Pages : 573

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Book Description


Heavy Tails and Copulas

Heavy Tails and Copulas PDF Author: Rustam Ibragimov
Publisher:
ISBN: 9789814689809
Category : BUSINESS & ECONOMICS
Languages : en
Pages : 303

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Book Description
"This book offers a unified approach to the study of crises, large fluctuations, dependence and contagion effects in economics and finance. It covers important topics in statistical modeling and estimation, which combine the notions of copulas and heavy tails — two particularly valuable tools of today's research in economics, finance, econometrics and other fields — in order to provide a new way of thinking about such vital problems as diversification of risk and propagation of crises through financial markets due to contagion phenomena, among others. The aim is to arm today's economists with a toolbox suited for analyzing multivariate data with many outliers and with arbitrary dependence patterns. The methods and topics discussed and used in the book include, in particular, majorization theory, heavy-tailed distributions and copula functions — all applied to study robustness of economic, financial and statistical models, and estimation methods to heavy tails and dependence."--Publisher's website.

The Fundamentals of Heavy Tails

The Fundamentals of Heavy Tails PDF Author: Jayakrishnan Nair
Publisher: Cambridge University Press
ISBN: 1009062964
Category : Mathematics
Languages : en
Pages : 266

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Book Description
Heavy tails –extreme events or values more common than expected –emerge everywhere: the economy, natural events, and social and information networks are just a few examples. Yet after decades of progress, they are still treated as mysterious, surprising, and even controversial, primarily because the necessary mathematical models and statistical methods are not widely known. This book, for the first time, provides a rigorous introduction to heavy-tailed distributions accessible to anyone who knows elementary probability. It tackles and tames the zoo of terminology for models and properties, demystifying topics such as the generalized central limit theorem and regular variation. It tracks the natural emergence of heavy-tailed distributions from a wide variety of general processes, building intuition. And it reveals the controversy surrounding heavy tails to be the result of flawed statistics, then equips readers to identify and estimate with confidence. Over 100 exercises complete this engaging package.