Heavy Tails and Copulas

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Publisher : World Scientific Publishing Company
ISBN 13 : 9789814689793
Total Pages : 284 pages
Book Rating : 4.6/5 (897 download)

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Book Synopsis Heavy Tails and Copulas by : Rustam Ibragimov

Download or read book Heavy Tails and Copulas written by Rustam Ibragimov and published by World Scientific Publishing Company. This book was released on 2017 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topics in Dependence Modelling

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (911 download)

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Book Synopsis Topics in Dependence Modelling by : Fujie Xia

Download or read book Topics in Dependence Modelling written by Fujie Xia and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

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Author :
Publisher : World Scientific
ISBN 13 : 9814689815
Total Pages : 303 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Heavy Tails And Copulas: Topics In Dependence Modelling In Economics And Finance by : Rustam Ibragimov

Download or read book Heavy Tails And Copulas: Topics In Dependence Modelling In Economics And Finance written by Rustam Ibragimov and published by World Scientific. This book was released on 2017-02-24 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Overall, the book is highly technical, including full mathematical proofs of the results stated. Potential readers are post-graduate students or researchers in Quantitative Risk Management willing to have a manual with the state-of-the-art on portfolio diversification and risk aggregation with heavy tails, including the fundamental theorems as well as collateral (but most useful) results on majorization and copula theory.'Quantitative Finance 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.

Dependence Modeling

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Publisher : World Scientific
ISBN 13 : 981429988X
Total Pages : 370 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Dependence Modeling by : Harry Joe

Download or read book Dependence Modeling written by Harry Joe and published by World Scientific. This book was released on 2011 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Introduction : Dependence modeling / D. Kurowicka -- 2. Multivariate copulae / M. Fischer -- 3. Vines arise / R.M. Cooke, H. Joe and K. Aas -- 4. Sampling count variables with specified Pearson correlation : A comparison between a naive and a C-vine sampling approach / V. Erhardt and C. Czado -- 5. Micro correlations and tail dependence / R.M. Cooke, C. Kousky and H. Joe -- 6. The Copula information criterion and Its implications for the maximum pseudo-likelihood estimator / S. Gronneberg -- 7. Dependence comparisons of vine copulae with four or more variables / H. Joe -- 8. Tail dependence in vine copulae / H. Joe -- 9. Counting vines / O. Morales-Napoles -- 10. Regular vines : Generation algorithm and number of equivalence classes / H. Joe, R.M. Cooke and D. Kurowicka -- 11. Optimal truncation of vines / D. Kurowicka -- 12. Bayesian inference for D-vines : Estimation and model selection / C. Czado and A. Min -- 13. Analysis of Australian electricity loads using joint Bayesian inference of D-vines with autoregressive margins / C. Czado, F. Gartner and A. Min -- 14. Non-parametric Bayesian belief nets versus vines / A. Hanea -- 15. Modeling dependence between financial returns using pair-copula constructions / K. Aas and D. Berg -- 16. Dynamic D-vine model / A. Heinen and A. Valdesogo -- 17. Summary and future directions / D. Kurowicka

Dependence Modeling with Copulas

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Author :
Publisher : CRC Press
ISBN 13 : 1466583223
Total Pages : 483 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Dependence Modeling with Copulas by : Harry Joe

Download or read book Dependence Modeling with Copulas written by Harry Joe and published by CRC Press. This book was released on 2014-06-26 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dependence Modeling with Copulas covers the substantial advances that have taken place in the field during the last 15 years, including vine copula modeling of high-dimensional data. Vine copula models are constructed from a sequence of bivariate copulas. The book develops generalizations of vine copula models, including common and structured factor models that extend from the Gaussian assumption to copulas. It also discusses other multivariate constructions and parametric copula families that have different tail properties and presents extensive material on dependence and tail properties to assist in copula model selection. The author shows how numerical methods and algorithms for inference and simulation are important in high-dimensional copula applications. He presents the algorithms as pseudocode, illustrating their implementation for high-dimensional copula models. He also incorporates results to determine dependence and tail properties of multivariate distributions for future constructions of copula models.

Direction Dependence in Statistical Modeling

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Publisher : John Wiley & Sons
ISBN 13 : 1119523133
Total Pages : 432 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Direction Dependence in Statistical Modeling by : Wolfgang Wiedermann

Download or read book Direction Dependence in Statistical Modeling written by Wolfgang Wiedermann and published by John Wiley & Sons. This book was released on 2020-11-09 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the latest developments in direction dependence research Direction Dependence in Statistical Modeling: Methods of Analysis incorporates the latest research for the statistical analysis of hypotheses that are compatible with the causal direction of dependence of variable relations. Having particular application in the fields of neuroscience, clinical psychology, developmental psychology, educational psychology, and epidemiology, direction dependence methods have attracted growing attention due to their potential to help decide which of two competing statistical models is more likely to reflect the correct causal flow. The book covers several topics in-depth, including: A demonstration of the importance of methods for the analysis of direction dependence hypotheses A presentation of the development of methods for direction dependence analysis together with recent novel, unpublished software implementations A review of methods of direction dependence following the copula-based tradition of Sungur and Kim A presentation of extensions of direction dependence methods to the domain of categorical data An overview of algorithms for causal structure learning The book's fourteen chapters include a discussion of the use of custom dialogs and macros in SPSS to make direction dependence analysis accessible to empirical researchers.

Uncertainty Analysis with High Dimensional Dependence Modelling

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Publisher : John Wiley & Sons
ISBN 13 : 0470863080
Total Pages : 302 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Uncertainty Analysis with High Dimensional Dependence Modelling by : Dorota Kurowicka

Download or read book Uncertainty Analysis with High Dimensional Dependence Modelling written by Dorota Kurowicka and published by John Wiley & Sons. This book was released on 2006-10-02 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical models are used to simulate complex real-world phenomena in many areas of science and technology. Large complex models typically require inputs whose values are not known with certainty. Uncertainty analysis aims to quantify the overall uncertainty within a model, in order to support problem owners in model-based decision-making. In recent years there has been an explosion of interest in uncertainty analysis. Uncertainty and dependence elicitation, dependence modelling, model inference, efficient sampling, screening and sensitivity analysis, and probabilistic inversion are among the active research areas. This text provides both the mathematical foundations and practical applications in this rapidly expanding area, including: An up-to-date, comprehensive overview of the foundations and applications of uncertainty analysis. All the key topics, including uncertainty elicitation, dependence modelling, sensitivity analysis and probabilistic inversion. Numerous worked examples and applications. Workbook problems, enabling use for teaching. Software support for the examples, using UNICORN - a Windows-based uncertainty modelling package developed by the authors. A website featuring a version of the UNICORN software tailored specifically for the book, as well as computer programs and data sets to support the examples. Uncertainty Analysis with High Dimensional Dependence Modelling offers a comprehensive exploration of a new emerging field. It will prove an invaluable text for researches, practitioners and graduate students in areas ranging from statistics and engineering to reliability and environmetrics.

Dependence Modelling

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Publisher :
ISBN 13 :
Total Pages : 241 pages
Book Rating : 4.:/5 (711 download)

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Book Synopsis Dependence Modelling by : Aleksey Min

Download or read book Dependence Modelling written by Aleksey Min and published by . This book was released on 2010 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Statistical Dependence

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Publisher : IMS
ISBN 13 : 9780940600232
Total Pages : 558 pages
Book Rating : 4.6/5 (2 download)

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Book Synopsis Topics in Statistical Dependence by : Henry W. Block

Download or read book Topics in Statistical Dependence written by Henry W. Block and published by IMS. This book was released on 1990 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Copulas and Dependence Models with Applications

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Publisher : Springer
ISBN 13 : 3319642219
Total Pages : 268 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Copulas and Dependence Models with Applications by : Manuel Úbeda Flores

Download or read book Copulas and Dependence Models with Applications written by Manuel Úbeda Flores and published by Springer. This book was released on 2017-10-13 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions and review articles on the theory of copulas and their applications. The authoritative and refereed contributions review the latest findings in the area with emphasis on “classical” topics like distributions with fixed marginals, measures of association, construction of copulas with given additional information, etc. The book celebrates the 75th birthday of Professor Roger B. Nelsen and his outstanding contribution to the development of copula theory. Most of the book’s contributions were presented at the conference “Copulas and Their Applications” held in his honor in Almería, Spain, July 3-5, 2017. The chapter 'When Gumbel met Galambos' is published open access under a CC BY 4.0 license.

Innovations in Dependence Modelling for Financial Applications

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (116 download)

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Book Synopsis Innovations in Dependence Modelling for Financial Applications by : Matthew Ames

Download or read book Innovations in Dependence Modelling for Financial Applications written by Matthew Ames and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dependence Modeling and Inference for Insurance Risks

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis Dependence Modeling and Inference for Insurance Risks by : Marie-Pier Côté

Download or read book Dependence Modeling and Inference for Insurance Risks written by Marie-Pier Côté and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Modeling the dependence between risks is crucial for the computation of the economic capital and the variability of insurance liabilities. It is thus not surprising that copula (regression) models are widely used in actuarial applications. In this thesis, three topics on dependence modeling for insurance risks are considered. The first part of this work explores the probabilistic features of the dependence structures underlying the background risk model (RX, RY), where R is a strictly positive random variable independent of the random vector (X,Y). This broad class of copulas encompasses Archimedean and elliptical copulas, but also new interesting models, some of which yield explicit expressions for the distribution and tail-value-at-risk of the sum RX+RY. The remainder of the thesis is more statistical in nature. There are numerous actuarial applications of copula models where marginal distributions vary with covariates, but few tools are available for inference in that context. In the second part of the thesis, the validity of rank-based tools for copula inference is established under carefully designed assumptions that hold for all the covariate dependent marginal distributions commonly used for modeling insurance data. Simulation studies are performed in two property and casualty insurance examples: loss triangles for two lines of business and micro-level multivariate claim amounts. The latter example is treated in details in a Bayesian data analysis reported in the last part of this thesis. The model accounts for the dependence between claimants involved in a single event and between amounts paid to a claimant under different insurance coverages. A multiple imputation procedure allows to include the information contained in open claimant files, without which the inference is biased towards simple claims." --

Models for Dependent Time Series

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Publisher : CRC Press
ISBN 13 : 1420011502
Total Pages : 320 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Models for Dependent Time Series by : Granville Tunnicliffe Wilson

Download or read book Models for Dependent Time Series written by Granville Tunnicliffe Wilson and published by CRC Press. This book was released on 2015-07-29 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Models for Dependent Time Series addresses the issues that arise and the methodology that can be applied when the dependence between time series is described and modeled. Whether you work in the economic, physical, or life sciences, the book shows you how to draw meaningful, applicable, and statistically valid conclusions from multivariate (or vect

Dependent Data in Social Sciences Research

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Publisher : Springer
ISBN 13 : 3319205854
Total Pages : 385 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Dependent Data in Social Sciences Research by : Mark Stemmler

Download or read book Dependent Data in Social Sciences Research written by Mark Stemmler and published by Springer. This book was released on 2015-10-19 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents contributions on handling data in which the postulate of independence in the data matrix is violated. When this postulate is violated and when the methods assuming independence are still applied, the estimated parameters are likely to be biased, and statistical decisions are very likely to be incorrect. Problems associated with dependence in data have been known for a long time, and led to the development of tailored methods for the analysis of dependent data in various areas of statistical analysis. These methods include, for example, methods for the analysis of longitudinal data, corrections for dependency, and corrections for degrees of freedom. This volume contains the following five sections: growth curve modeling, directional dependence, dyadic data modeling, item response modeling (IRT), and other methods for the analysis of dependent data (e.g., approaches for modeling cross-section dependence, multidimensional scaling techniques, and mixed models). Researchers and graduate students in the social and behavioral sciences, education, econometrics, and medicine will find this up-to-date overview of modern statistical approaches for dealing with problems related to dependent data particularly useful.

Dependence Modelling and Spatial Prediction for Extreme Values

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (594 download)

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Book Synopsis Dependence Modelling and Spatial Prediction for Extreme Values by : Miguel A. Ancona Navarrete

Download or read book Dependence Modelling and Spatial Prediction for Extreme Values written by Miguel A. Ancona Navarrete and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Copula-based High Dimensional Dependence Modelling

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Publisher :
ISBN 13 :
Total Pages : 450 pages
Book Rating : 4.:/5 (913 download)

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Book Synopsis Copula-based High Dimensional Dependence Modelling by : Wei Wei

Download or read book Copula-based High Dimensional Dependence Modelling written by Wei Wei and published by . This book was released on 2015 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Art of Dependence Modelling

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis The Art of Dependence Modelling by : Peter Blum

Download or read book The Art of Dependence Modelling written by Peter Blum and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Both at the design stage as well as at the pricing stage of Alternative Risk Transfer (ART) products, the notion of low (zero) beta plays an important role. By now it is well known that for these non--standard products, the interpretation of dependence through linear correlation (and hence the portfolio--beta language) becomes dubious. We review some of the new tools (like copulas) to handle the measurement of dependence in ART products. An example will be discussed.