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Copula Theory and Its Applications

Copula Theory and Its Applications PDF Author: Piotr Jaworski
Publisher: Springer Science & Business Media
ISBN: 3642124658
Category : Mathematics
Languages : en
Pages : 338

Book Description
Copulas are mathematical objects that fully capture the dependence structure among random variables and hence offer great flexibility in building multivariate stochastic models. Since their introduction in the early 50's, copulas have gained considerable popularity in several fields of applied mathematics, such as finance, insurance and reliability theory. Today, they represent a well-recognized tool for market and credit models, aggregation of risks, portfolio selection, etc. This book is divided into two main parts: Part I - "Surveys" contains 11 chapters that provide an up-to-date account of essential aspects of copula models. Part II - "Contributions" collects the extended versions of 6 talks selected from papers presented at the workshop in Warsaw.

Copula Theory and Its Applications

Copula Theory and Its Applications PDF Author: Piotr Jaworski
Publisher: Springer Science & Business Media
ISBN: 3642124658
Category : Mathematics
Languages : en
Pages : 338

Book Description
Copulas are mathematical objects that fully capture the dependence structure among random variables and hence offer great flexibility in building multivariate stochastic models. Since their introduction in the early 50's, copulas have gained considerable popularity in several fields of applied mathematics, such as finance, insurance and reliability theory. Today, they represent a well-recognized tool for market and credit models, aggregation of risks, portfolio selection, etc. This book is divided into two main parts: Part I - "Surveys" contains 11 chapters that provide an up-to-date account of essential aspects of copula models. Part II - "Contributions" collects the extended versions of 6 talks selected from papers presented at the workshop in Warsaw.

Building Bridges between Soft and Statistical Methodologies for Data Science

Building Bridges between Soft and Statistical Methodologies for Data Science PDF Author: Luis A. García-Escudero
Publisher: Springer Nature
ISBN: 3031155092
Category : Computers
Languages : en
Pages : 421

Book Description
Nowadays, data analysis is becoming an appealing topic due to the emergence of new data types, dimensions, and sources. This motivates the development of probabilistic/statistical approaches and tools to cope with these data. Different communities of experts, namely statisticians, mathematicians, computer scientists, engineers, econometricians, and psychologists are more and more interested in facing this challenge. As a consequence, there is a clear need to build bridges between all these communities for Data Science. This book contains more than fifty selected recent contributions aiming to establish the above referred bridges. These contributions address very different and relevant aspects such as imprecise probabilities, information theory, random sets and random fuzzy sets, belief functions, possibility theory, dependence modelling and copulas, clustering, depth concepts, dimensionality reduction of complex data and robustness.

Uneconomic Economics and the Crisis of the Model World

Uneconomic Economics and the Crisis of the Model World PDF Author: M. Watson
Publisher: Springer
ISBN: 1137385499
Category : Political Science
Languages : en
Pages : 119

Book Description
What has gone wrong with economics? Economists now routinely devise highly sophisticated abstract models that score top marks for theoretical rigour but are clearly divorced from observable activities in the current economy. This creates an 'uneconomic economics', where models explain relationships in blackboard rather than real-life markets.

Improving Homeland Security Decisions

Improving Homeland Security Decisions PDF Author: Ali E. Abbas
Publisher: Cambridge University Press
ISBN: 1108211259
Category : Mathematics
Languages : en
Pages : 787

Book Description
What are the risks of terrorism and what are their consequences and economic impacts? Are we safer from terrorism today than before 9/11? Does the government spend our homeland security funds well? These questions motivated a twelve-year research program of the National Center for Risk and Economic Analysis of Terrorism Events (CREATE) at the University of Southern California, funded by the Department of Homeland Security. This book showcases some of the most important results of this research and offers key insights on how to address the most important security problems of our time. Written for homeland security researchers and practitioners, this book covers a wide range of methodologies and real-world examples of how to reduce terrorism risks, increase the efficient use of homeland security resources, and thereby make better decisions overall.

Dynamic Copula Methods in Finance

Dynamic Copula Methods in Finance PDF Author: Umberto Cherubini
Publisher: John Wiley & Sons
ISBN: 0470683074
Category : Business & Economics
Languages : en
Pages : 287

Book Description
The latest tools and techniques for pricing and risk management This book introduces readers to the use of copula functions to represent the dynamics of financial assets and risk factors, integrated temporal and cross-section applications. The first part of the book will briefly introduce the standard the theory of copula functions, before examining the link between copulas and Markov processes. It will then introduce new techniques to design Markov processes that are suited to represent the dynamics of market risk factors and their co-movement, providing techniques to both estimate and simulate such dynamics. The second part of the book will show readers how to apply these methods to the evaluation of pricing of multivariate derivative contracts in the equity and credit markets. It will then move on to explore the applications of joint temporal and cross-section aggregation to the problem of risk integration.

Foundations of Multiattribute Utility

Foundations of Multiattribute Utility PDF Author: Ali E. Abbas
Publisher: Cambridge University Press
ISBN: 1107150906
Category : Business & Economics
Languages : en
Pages : 703

Book Description
Learn state-of-the-art methods for making logically sound decisions when faced with multiple conflicting objectives and uncertainty.

Improving Homeland Security Decisions

Improving Homeland Security Decisions PDF Author: Ali E. Abbas
Publisher: Cambridge University Press
ISBN: 1107161886
Category : Computers
Languages : en
Pages : 787

Book Description
Are we safer from terrorism today and is our homeland security money well spent? This book offers answers and more.

Mathematical Risk Analysis

Mathematical Risk Analysis PDF Author: Ludger Rüschendorf
Publisher: Springer Science & Business Media
ISBN: 364233590X
Category : Mathematics
Languages : en
Pages : 414

Book Description
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.

Advances in Probability Distributions with Given Marginals

Advances in Probability Distributions with Given Marginals PDF Author: G. Dall'aglio
Publisher: Springer Science & Business Media
ISBN: 9401134669
Category : Mathematics
Languages : en
Pages : 243

Book Description
'Et moi - ... - si j'avait su comment en rcvenir. One service mathematics has rendered the je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canistcr labelled 'discarded non sense'. The scries is divergent; therefore we may be Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Aggregation Operators

Aggregation Operators PDF Author: Tomasa Calvo
Publisher: Springer Science & Business Media
ISBN: 9783790814682
Category : Computers
Languages : en
Pages : 376

Book Description
1. The increasing number of research papers appeared in the last years that either make use of aggregation functions or contribute to its theoretieal study asses its growing importance in the field of Fuzzy Logie and in others where uncertainty and imprecision play a relevant role. Since these papers are pub lished in many journals, few books and several proceedings of conferences, books on aggregation are partieularly welcome. To my knowledge, "Agrega tion Operators. New Trends and Applications" is the first book aiming at generality , and I take it as a honour to write this Foreword in response to the gentle demand of its editors, Radko Mesiar, Tomasa Calvo and Gaspar Mayor. My pleasure also derives from the fact that twenty years aga I was one of the first Spaniards interested in the study of aggregation functions, and this book includes work by several Spanish authors. The book contains nice and relevant original papers, authored by some of the most outstanding researchers in the field, and since it can serve, as the editors point out in the Preface, as a small handbook on aggregation, the book is very useful for those entering the subject for the first time. The book also contains apart dealing with potential areas of application, so it can be helpful in gaining insight on the future developments.