Distributions With Given Marginals And Statistical Modelling

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Distributions With Given Marginals and Statistical Modelling

Author : Carles M. Cuadras
Publisher : Springer Science & Business Media
ISBN 13 : 9401700613
Total Pages : 252 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Distributions With Given Marginals and Statistical Modelling by : Carles M. Cuadras

Download or read book Distributions With Given Marginals and Statistical Modelling written by Carles M. Cuadras and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the meeting "Distributions with given marginals and statistical modelling", held in Barcelona (Spain), July 17- 20, 2000. This is the fourth meeting on given marginals, showing that this topic has aremarkable interest. BRIEF HISTORY The construction of distributions with given marginals started with the seminal papers by Hoeffding (1940) and Fn!chet (1951). Since then, many others have contributed on this topic: Dall' Aglio, Farlie, Gumbel, Johnson, Kellerer, Kotz, Morgenstern, Marshali, Olkin, Strassen, Vitale, Whitt, etc., as weIl as Arnold, Cambanis, Deheuvels, Genest, Frank, Joe, Kirneldorf, Nelsen, Rüschendorf, Sampson, Scarsini, Tiit, etc. In 1957 Sklar and Schweizer introduced probabilistic metric spaces. In 1975 Kirneldorf and Sampson studied the uniform representation of a bivariate dis tribution and proposed the desirable conditions that should be satisfied by any bivariate family. In 1991 Darsow, Nguyen and Olsen defined a natural operation between cop ulas, with applications in stochastic processes. In 1993, AIsina, Nelsen and Schweizer introduced the notion of quasi-copula

Distributions with given Marginals and Moment Problems

Author : Viktor Benes
Publisher : Springer Science & Business Media
ISBN 13 : 9401155321
Total Pages : 311 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Distributions with given Marginals and Moment Problems by : Viktor Benes

Download or read book Distributions with given Marginals and Moment Problems written by Viktor Benes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last decade has seen a remarkable development of the "Marginal and Moment Problems" as a research area in Probability and Statistics. Its attractiveness stemmed from its lasting ability to provide a researcher with difficult theoretical problems that have direct consequences for appli cations outside of mathematics. The relevant research aims centered mainly along the following lines that very frequently met each other to provide sur prizing and useful results : -To construct a probability distribution (to prove its existence, at least) with a given support and with some additional inner stochastic property defined typically either by moments or by marginal distributions. -To study the geometrical and topological structure of the set of prob ability distributions generated by such a property mostly with the aim to propose a procedure that would result in a stochastic model with some optimal properties within the set of probability distributions. These research aims characterize also, though only very generally, the scientific program of the 1996 conference "Distributions with given marginals and moment problems" held at the beginning of September in Prague, Czech Republic, to perpetuate the tradition and achievements of the closely related 1990 Roma symposium "On Frechet Classes" 1 and 1993 Seattle" AMS Summer Conference on Marginal Problem".

Advances in Probability Distributions with Given Marginals

Author : G. Dall'aglio
Publisher : Springer
ISBN 13 : 9789401134675
Total Pages : 231 pages
Book Rating : 4.1/5 (346 download)

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Book Synopsis Advances in Probability Distributions with Given Marginals by : G. Dall'aglio

Download or read book Advances in Probability Distributions with Given Marginals written by G. Dall'aglio and published by Springer. This book was released on 2012-05-29 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Copulas and Dependence Models with Applications

Author : Manuel Úbeda Flores
Publisher : Springer
ISBN 13 : 3319642219
Total Pages : 258 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 258 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.

Distribution Models Theory

Author : Rafael Herrerias-pleguezuelo
Publisher : World Scientific
ISBN 13 : 9814477400
Total Pages : 307 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Distribution Models Theory by : Rafael Herrerias-pleguezuelo

Download or read book Distribution Models Theory written by Rafael Herrerias-pleguezuelo and published by World Scientific. This book was released on 2006-08-30 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distribution Models Theory is a revised edition of papers specially selected by the Scientific Committee for the Fifth Workshop of Spanish Scientific Association of Applied Economy on Distribution Models Theory held in Granada (Spain) in September 2005. The contributions offer a must-have point of reference on models theory.This book has been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP®/ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version/ISI Proceedings)

Distributions with Fixed Marginals and Related Topics

Author : Michael Dee Taylor
Publisher : IMS
ISBN 13 : 9780940600409
Total Pages : 390 pages
Book Rating : 4.6/5 (4 download)

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Book Synopsis Distributions with Fixed Marginals and Related Topics by : Michael Dee Taylor

Download or read book Distributions with Fixed Marginals and Related Topics written by Michael Dee Taylor and published by IMS. This book was released on 1996 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Conditional Specification of Statistical Models

Author : Barry C. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 0387225889
Total Pages : 419 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Conditional Specification of Statistical Models by : Barry C. Arnold

Download or read book Conditional Specification of Statistical Models written by Barry C. Arnold and published by Springer Science & Business Media. This book was released on 2007-06-02 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Efforts to visualize multivariate densities necessarily involve the use of cross-sections, or, equivalently, conditional densities. This book focuses on distributions that are completely specified in terms of conditional densities. They are appropriately used in any modeling situation where conditional information is completely or partially available. All statistical researchers seeking more flexible models than those provided by classical models will find conditionally specified distributions of interest.

An Introduction to Copulas

Author : Roger B. Nelsen
Publisher : Springer Science & Business Media
ISBN 13 : 0387286780
Total Pages : 276 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis An Introduction to Copulas by : Roger B. Nelsen

Download or read book An Introduction to Copulas written by Roger B. Nelsen and published by Springer Science & Business Media. This book was released on 2007-06-10 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of copulas and their role in statistics is a new but vigorously growing field. In this book the student or practitioner of statistics and probability will find discussions of the fundamental properties of copulas and some of their primary applications. The applications include the study of dependence and measures of association, and the construction of families of bivariate distributions. This book is suitable as a text or for self-study.

Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms

Author : Erich Peter Klement
Publisher : Elsevier
ISBN 13 : 0080459536
Total Pages : 491 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms by : Erich Peter Klement

Download or read book Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms written by Erich Peter Klement and published by Elsevier. This book was released on 2005-03-25 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gives a state of the art of triangular norms which can be used for the generalization of several mathematical concepts, such as conjunction, metric, measure, etc. 16 chapters written by leading experts provide a state of the art overview of theory and applications of triangular norms and related operators in fuzzy logic, measure theory, probability theory, and probabilistic metric spaces. Key Features: - Complete state of the art of the importance of triangular norms in various mathematical fields - 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications - Chapter authors are leading authorities in their fields - Triangular norms on different domains (including discrete, partially ordered) are described - Not only triangular norms but also related operators (aggregation operators, copulas) are covered - Book contains many enlightening illustrations · Complete state of the art of the importance of triangular norms in various mathematical fields · 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications · Chapter authors are leading authorities in their fields · Triangular norms on different domains (including discrete, partially ordered) are described · Not only triangular norms but also related operators (aggregation operators, copulas) are covered · Book contains many enlightening illustrations

Advances on Models, Characterizations and Applications

Author : N. Balakrishnan
Publisher : CRC Press
ISBN 13 : 1420028693
Total Pages : 256 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Advances on Models, Characterizations and Applications by : N. Balakrishnan

Download or read book Advances on Models, Characterizations and Applications written by N. Balakrishnan and published by CRC Press. This book was released on 2005-05-31 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical distributions are one of the most important applied mathematical tools across a wide spectrum of disciplines, including engineering, biological sciences, and health and social sciences. Since they are used to model observed data and ultimately to develop inferential procedures, understanding the properties of statistical distributions is critical to developing optimal inferential methods and validating the resulting model assumptions. Advances on Models, Characterizations and Applications offers up-to-date information on many recent developments in the field. Comprising fourteen self-contained chapters contributed by internationally renowned experts, this book delineates recent developments on characterizations and other important properties of several distributions, inferential issues related to these models, and several applications of the models to real-world problems. Each chapter is rich with references for further study or more in-depth information on each topic and reflects work presented at the International Conference on Advances on Characterizations, Models, and Applications held in Antalya, Turkey in December 2001. Advances on Models, Characterizations and Applications provides an updated account of important properties of statistical distributions that reflects their deep importance and broad application and is a welcome addition to the literature.

Parametric and Semiparametric Models with Applications to Reliability, Survival Analysis, and Quality of Life

Author : M.S. Nikulin
Publisher : Springer Science & Business Media
ISBN 13 : 0817682066
Total Pages : 566 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Parametric and Semiparametric Models with Applications to Reliability, Survival Analysis, and Quality of Life by : M.S. Nikulin

Download or read book Parametric and Semiparametric Models with Applications to Reliability, Survival Analysis, and Quality of Life written by M.S. Nikulin and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parametric and semiparametric models are tools with a wide range of applications to reliability, survival analysis, and quality of life. This self-contained volume examines these tools in survey articles written by experts currently working on the development and evaluation of models and methods. While a number of chapters deal with general theory, several explore more specific connections and recent results in "real-world" reliability theory, survival analysis, and related fields. Specific topics covered include: * cancer prognosis using survival forests * short-term health problems related to air pollution: analysis using semiparametric generalized additive models * semiparametric models in the studies of aging and longevity This book will be of use as a reference text for general statisticians, theoreticians, graduate students, reliability engineers, health researchers, and biostatisticians working in applied probability and statistics.

Extremes in Nature

Author : Gianfausto Salvadori
Publisher : Springer Science & Business Media
ISBN 13 : 1402044151
Total Pages : 292 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Extremes in Nature by : Gianfausto Salvadori

Download or read book Extremes in Nature written by Gianfausto Salvadori and published by Springer Science & Business Media. This book was released on 2007-06-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the theoretical and practical aspects of the statistics of Extreme Events in Nature. Most importantly, this is the first text in which Copulas are introduced and used in Geophysics. Several topics are fully original, and show how standard models and calculations can be improved by exploiting the opportunities offered by Copulas. In addition, new quantities useful for design and risk assessment are introduced.

Model Risk Management

Author : Ludger Rüschendorf
Publisher : Cambridge University Press
ISBN 13 : 100936720X
Total Pages : 348 pages
Book Rating : 4.0/5 (93 download)

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Book Synopsis Model Risk Management by : Ludger Rüschendorf

Download or read book Model Risk Management written by Ludger Rüschendorf and published by Cambridge University Press. This book was released on 2023-12-31 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first systematic treatment of model risk, outlining the tools needed to quantify model uncertainty, to study its effects, and, in particular, to determine the best upper and lower risk bounds for various risk aggregation functionals of interest. Drawing on both numerical and analytical examples, this is a thorough reference work for actuaries, risk managers, and regulators. Supervisory authorities can use the methods discussed to challenge the models used by banks and insurers, and banks and insurers can use them to prioritize the activities on model development, identifying which ones require more attention than others. In sum, it is essential reading for all those working in portfolio theory and the theory of financial and engineering risk, as well as for practitioners in these areas. It can also be used as a textbook for graduate courses on risk bounds and model uncertainty.

Probabilistic Metric Spaces

Author : B. Schweizer
Publisher : Courier Corporation
ISBN 13 : 0486445143
Total Pages : 354 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Probabilistic Metric Spaces by : B. Schweizer

Download or read book Probabilistic Metric Spaces written by B. Schweizer and published by Courier Corporation. This book was released on 2011-11-30 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This distinctly nonclassical treatment focuses on developing aspects that differ from the theory of ordinary metric spaces, working directly with probability distribution functions rather than random variables. The two-part treatment begins with an overview that discusses the theory's historical evolution, followed by a development of related mathematical machinery. The presentation defines all needed concepts, states all necessary results, and provides relevant proofs. The second part opens with definitions of probabilistic metric spaces and proceeds to examinations of special classes of probabilistic metric spaces, topologies, and several related structures, such as probabilistic normed and inner-product spaces. Throughout, the authors focus on developing aspects that differ from the theory of ordinary metric spaces, rather than simply transferring known metric space results to a more general setting.

Contributions to Static and Time-varying Copula-based Modeling of Multivariate Association

Author : Martin Ruppert
Publisher : BoD – Books on Demand
ISBN 13 : 3844101209
Total Pages : 178 pages
Book Rating : 4.8/5 (441 download)

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Book Synopsis Contributions to Static and Time-varying Copula-based Modeling of Multivariate Association by : Martin Ruppert

Download or read book Contributions to Static and Time-varying Copula-based Modeling of Multivariate Association written by Martin Ruppert and published by BoD – Books on Demand. This book was released on 2012 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Putting a particular emphasis on nonparametric methods that rely on modern empirical process techniques, the author contributes to the theory of static and time-varying stochastic models for multivariate association based on the concept of copulas. These functions enable a profound understanding of multivariate association, which is pivotal for judging whether a large set of risky assets entails diversification effects or aggravates risk from an entrepreneurial point of view. Since serial dependence is a stylized fact of financial time series, an asymptotic theory for estimating the structure of association in this context is developed under weak assumptions. A new measure of multivariate association, based on a notion of distance to stochastic independence, is introduced. Asymptotic results as well as hypothesis tests are established which are directly applicable to important types of multivariate financial time series. To ensure that risk management properly captures the current structure of association, it is crucial to assess the constancy of the structure. Therefore, nonparametric tests for a constant copula with either a specified or unspecified change point (candidate) are derived. The thesis concludes with a study of characterizations of association between non-continuous random variables.

Soft Methodology and Random Information Systems

Author : Miguel Concepcion Lopez-Diaz
Publisher : Springer Science & Business Media
ISBN 13 : 3540444653
Total Pages : 761 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Soft Methodology and Random Information Systems by : Miguel Concepcion Lopez-Diaz

Download or read book Soft Methodology and Random Information Systems written by Miguel Concepcion Lopez-Diaz and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of experimental data resulting from some underlying random process is a fundamental part of most scientific research. Probability Theory and Statistics have been developed as flexible tools for this analyis, and have been applied successfully in various fields such as Biology, Economics, Engineering, Medicine or Psychology. However, traditional techniques in Probability and Statistics were devised to model only a singe source of uncertainty, namely randomness. In many real-life problems randomness arises in conjunction with other sources, making the development of additional "softening" approaches essential. This book is a collection of papers presented at the 2nd International Conference on Soft Methods in Probability and Statistics (SMPS’2004) held in Oviedo, providing a comprehensive overview of the innovative new research taking place within this emerging field.

Financial Engineering with Copulas Explained

Author : J. Mai
Publisher : Springer
ISBN 13 : 1137346310
Total Pages : 150 pages
Book Rating : 4.1/5 (373 download)

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Book Synopsis Financial Engineering with Copulas Explained by : J. Mai

Download or read book Financial Engineering with Copulas Explained written by J. Mai and published by Springer. This book was released on 2014-10-02 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a succinct guide to the application and modelling of dependence models or copulas in the financial markets. First applied to credit risk modelling, copulas are now widely used across a range of derivatives transactions, asset pricing techniques and risk models and are a core part of the financial engineer's toolkit.