Generalized Poisson Models and their Applications in Insurance and Finance

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Publisher : Walter de Gruyter
ISBN 13 : 3110936011
Total Pages : 456 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Generalized Poisson Models and their Applications in Insurance and Finance by : Vladimir E. Bening

Download or read book Generalized Poisson Models and their Applications in Insurance and Finance written by Vladimir E. Bening and published by Walter de Gruyter. This book was released on 2012-06-11 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.

Modelling Extremal Events

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Publisher : Springer Science & Business Media
ISBN 13 : 3642334830
Total Pages : 657 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Modelling Extremal Events by : Paul Embrechts

Download or read book Modelling Extremal Events written by Paul Embrechts and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A reader's first impression on leafing through this book is of the large number of graphs and diagrams, used to illustrate shapes of distributions...and to show real data examples in various ways. A closer reading reveals a nice mix of theory and applications, with the copious graphical illustrations alluded to. Such a mixture is of course dear to the heart of the applied probabilist/statistician, and should impress even the most ardent theorists." --MATHEMATICAL REVIEWS

Stability Problems for Stochastic Models: Theory and Applications

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Publisher : MDPI
ISBN 13 : 3036504524
Total Pages : 370 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Stability Problems for Stochastic Models: Theory and Applications by : Alexander Zeifman

Download or read book Stability Problems for Stochastic Models: Theory and Applications written by Alexander Zeifman and published by MDPI. This book was released on 2021-03-05 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this Special Issue of Mathematics is to commemorate the outstanding Russian mathematician Vladimir Zolotarev, whose 90th birthday will be celebrated on February 27th, 2021. The present Special Issue contains a collection of new papers by participants in sessions of the International Seminar on Stability Problems for Stochastic Models founded by Zolotarev. Along with research in probability distributions theory, limit theorems of probability theory, stochastic processes, mathematical statistics, and queuing theory, this collection contains papers dealing with applications of stochastic models in modeling of pension schemes, modeling of extreme precipitation, construction of statistical indicators of scientific publication importance, and other fields.

Backward Stochastic Differential Equations with Jumps and Their Actuarial and Financial Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1447153316
Total Pages : 285 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Backward Stochastic Differential Equations with Jumps and Their Actuarial and Financial Applications by : Łukasz Delong

Download or read book Backward Stochastic Differential Equations with Jumps and Their Actuarial and Financial Applications written by Łukasz Delong and published by Springer Science & Business Media. This book was released on 2013-06-12 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Backward stochastic differential equations with jumps can be used to solve problems in both finance and insurance. Part I of this book presents the theory of BSDEs with Lipschitz generators driven by a Brownian motion and a compensated random measure, with an emphasis on those generated by step processes and Lévy processes. It discusses key results and techniques (including numerical algorithms) for BSDEs with jumps and studies filtration-consistent nonlinear expectations and g-expectations. Part I also focuses on the mathematical tools and proofs which are crucial for understanding the theory. Part II investigates actuarial and financial applications of BSDEs with jumps. It considers a general financial and insurance model and deals with pricing and hedging of insurance equity-linked claims and asset-liability management problems. It additionally investigates perfect hedging, superhedging, quadratic optimization, utility maximization, indifference pricing, ambiguity risk minimization, no-good-deal pricing and dynamic risk measures. Part III presents some other useful classes of BSDEs and their applications. This book will make BSDEs more accessible to those who are interested in applying these equations to actuarial and financial problems. It will be beneficial to students and researchers in mathematical finance, risk measures, portfolio optimization as well as actuarial practitioners.

Modern Problems in Insurance Mathematics

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Publisher : Springer
ISBN 13 : 3319066536
Total Pages : 388 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Modern Problems in Insurance Mathematics by : Dmitrii Silvestrov

Download or read book Modern Problems in Insurance Mathematics written by Dmitrii Silvestrov and published by Springer. This book was released on 2014-06-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of 21 papers presented at the International Cramér Symposium on Insurance Mathematics (ICSIM) held at Stockholm University in June, 2013. The book comprises selected contributions from several large research communities in modern insurance mathematics and its applications. The main topics represented in the book are modern risk theory and its applications, stochastic modelling of insurance business, new mathematical problems in life and non-life insurance and related topics in applied and financial mathematics. The book is an original and useful source of inspiration and essential reference for a broad spectrum of theoretical and applied researchers, research students and experts from the insurance business. In this way, Modern Problems in Insurance Mathematics will contribute to the development of research and academy–industry co-operation in the area of insurance mathematics and its applications.

Quantitative Risk Management

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Publisher : Princeton University Press
ISBN 13 : 1400866286
Total Pages : 720 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Quantitative Risk Management by : Alexander J. McNeil

Download or read book Quantitative Risk Management written by Alexander J. McNeil and published by Princeton University Press. This book was released on 2015-05-26 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the most comprehensive treatment of the theoretical concepts and modelling techniques of quantitative risk management. Whether you are a financial risk analyst, actuary, regulator or student of quantitative finance, Quantitative Risk Management gives you the practical tools you need to solve real-world problems. Describing the latest advances in the field, Quantitative Risk Management covers the methods for market, credit and operational risk modelling. It places standard industry approaches on a more formal footing and explores key concepts such as loss distributions, risk measures and risk aggregation and allocation principles. The book's methodology draws on diverse quantitative disciplines, from mathematical finance and statistics to econometrics and actuarial mathematics. A primary theme throughout is the need to satisfactorily address extreme outcomes and the dependence of key risk drivers. Proven in the classroom, the book also covers advanced topics like credit derivatives. Fully revised and expanded to reflect developments in the field since the financial crisis Features shorter chapters to facilitate teaching and learning Provides enhanced coverage of Solvency II and insurance risk management and extended treatment of credit risk, including counterparty credit risk and CDO pricing Includes a new chapter on market risk and new material on risk measures and risk aggregation

Solvency II in the Insurance Industry

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Author :
Publisher : Springer
ISBN 13 : 3319770608
Total Pages : 219 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Solvency II in the Insurance Industry by : Maria Heep-Altiner

Download or read book Solvency II in the Insurance Industry written by Maria Heep-Altiner and published by Springer. This book was released on 2019-02-22 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates the EU-wide Solvency II framework for the insurance industry, which was implemented on January 1, 2016, after a long project phase. Analogous to the system for banks, it is based on three pillars and the authors analyze the complete framework pillar by pillar with a consistent data model for a non-life insurer, which was developed by the Research Group Financial & Actuarial Risk Management (FaRis) at the Institute for Insurance Studies of the TH Köln - University of Applied Sciences. The book leverages the long-standing and close cooperation between the University of Limerick (Ireland) and the Institute for Insurance Studies at TH Köln - University of Applied Sciences (Germany).

Journal of the American Statistical Association

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Publisher :
ISBN 13 :
Total Pages : 1298 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Journal of the American Statistical Association by :

Download or read book Journal of the American Statistical Association written by and published by . This book was released on 2004 with total page 1298 pages. Available in PDF, EPUB and Kindle. Book excerpt: A scientific and educational journal not only for professional statisticians but also for economists, business executives, research directors, government officials, university professors, and others who are seriously interested in the application of statistical methods to practical problems, in the development of more useful methods, and in the improvement of basic statistical data.

Computation and Modelling in Insurance and Finance

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Publisher : Cambridge University Press
ISBN 13 : 1107782627
Total Pages : 713 pages
Book Rating : 4.1/5 (77 download)

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Book Synopsis Computation and Modelling in Insurance and Finance by : Erik Bølviken

Download or read book Computation and Modelling in Insurance and Finance written by Erik Bølviken and published by Cambridge University Press. This book was released on 2014-04-10 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on what actuaries need in practice, this introductory account provides readers with essential tools for handling complex problems and explains how simulation models can be created, used and re-used (with modifications) in related situations. The book begins by outlining the basic tools of modelling and simulation, including a discussion of the Monte Carlo method and its use. Part II deals with general insurance and Part III with life insurance and financial risk. Algorithms that can be implemented on any programming platform are spread throughout and a program library written in R is included. Numerous figures and experiments with R-code illustrate the text. The author's non-technical approach is ideal for graduate students, the only prerequisites being introductory courses in calculus and linear algebra, probability and statistics. The book will also be of value to actuaries and other analysts in the industry looking to update their skills.

Generalized Linear Models for Insurance Data

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Publisher : Cambridge University Press
ISBN 13 : 1139470477
Total Pages : 207 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Generalized Linear Models for Insurance Data by : Piet de Jong

Download or read book Generalized Linear Models for Insurance Data written by Piet de Jong and published by Cambridge University Press. This book was released on 2008-02-28 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the only book actuaries need to understand generalized linear models (GLMs) for insurance applications. GLMs are used in the insurance industry to support critical decisions. Until now, no text has introduced GLMs in this context or addressed the problems specific to insurance data. Using insurance data sets, this practical, rigorous book treats GLMs, covers all standard exponential family distributions, extends the methodology to correlated data structures, and discusses recent developments which go beyond the GLM. The issues in the book are specific to insurance data, such as model selection in the presence of large data sets and the handling of varying exposure times. Exercises and data-based practicals help readers to consolidate their skills, with solutions and data sets given on the companion website. Although the book is package-independent, SAS code and output examples feature in an appendix and on the website. In addition, R code and output for all the examples are provided on the website.

American-Type Options

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Publisher : Walter de Gruyter
ISBN 13 : 3110329824
Total Pages : 520 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis American-Type Options by : Dmitrii S. Silvestrov

Download or read book American-Type Options written by Dmitrii S. Silvestrov and published by Walter de Gruyter. This book was released on 2013-11-27 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives a systematical presentation of stochastic approximation methods for models of American-type options with general pay-off functions for discrete time Markov price processes. Advanced methods combining backward recurrence algorithms for computing of option rewards and general results on convergence of stochastic space skeleton and tree approximations for option rewards are applied to a variety of models of multivariate modulated Markov price processes. The principal novelty of presented results is based on consideration of multivariate modulated Markov price processes and general pay-off functions, which can depend not only on price but also an additional stochastic modulating index component, and use of minimal conditions of smoothness for transition probabilities and pay-off functions, compactness conditions for log-price processes and rate of growth conditions for pay-off functions. The book also contains an extended bibliography of works in the area. This book is the first volume of the comprehensive two volumes monograph. The second volume will present results on structural studies of optimal stopping domains, Monte Carlo based approximation reward algorithms, and convergence of American-type options for autoregressive and continuous time models, as well as results of the corresponding experimental studies.

Generalized Poisson Distributions

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Publisher : CRC Press
ISBN 13 : 9780824778637
Total Pages : 320 pages
Book Rating : 4.7/5 (786 download)

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Book Synopsis Generalized Poisson Distributions by : P. C. Consul

Download or read book Generalized Poisson Distributions written by P. C. Consul and published by CRC Press. This book was released on 1988-12-22 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents 28 bar diagrams that illustrate the versatility of the generalized Poisson model and discusses stochastic processes leading to the generalized Poisson distribution. Examines theoretical properties that vary in difficulty, includes proofs for numerous theorems, explores confidence intervals

Insurance Planning Models: Price Competition And Regulation Of Financial Stability

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Publisher : World Scientific
ISBN 13 : 9811204675
Total Pages : 355 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Insurance Planning Models: Price Competition And Regulation Of Financial Stability by : Vsevolod Malinovskii

Download or read book Insurance Planning Models: Price Competition And Regulation Of Financial Stability written by Vsevolod Malinovskii and published by World Scientific. This book was released on 2021-08-13 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Insurance Planning Models: Price Competition and Regulation of Financial Stability is an exciting new book that takes readers inside the secrets of internal organization of the modern general insurance business. Many people know that it is subject to intensive state regulation, whereby the purpose is to maintain long-term efficiency, honesty, security and stability in the interest and for the protection of policyholders. However, except for knowing that the insurance system is regulated by intensive calculations, that the insurance companies have different positions on the market, that they pursue different goals and even compete with each other, and that one of the tools of this competition is the policy price, not so many people know how to achieve these deserving goals.In developing quantitative recommendations and directives to competing insurers, regulators rely on certain models. In the 1900s, such models were proposed. They were useful for an insight into the probabilistic nature of the insurance process, but not for direct application to practically meaningful problems of insurance regulation. This book is your guide to the rigorously constructed long-term dynamic models with the aim to improve regulatory methods and develop quantitative recommendations using both analytical calculations and computer simulation. It is addressed to a wide range of readers, including interested policyholders, economists whose interest lies in insurance management and regulation, and mathematicians wishing to expand the scope of application for their knowledge.This book is devoted to certain issues that are either not sufficiently presented, or even absent in the literature. It is an attempt to penetrate from the standpoint of mathematical modeling into the goals which face insurance regulators and contending company managers for preventing insolvencies, or even crises pertinent to badly regulated complex reflexive systems.It offers rigorous probabilistic models of long-term insurance business based on the laws of mass phenomena. They mitigate deficiencies of oversimplified risk models. The book presents advances in probabilistic techniques designed to seek quantitative, rather than qualitative, directives and recommendations regarding safe control aiming to achieve different business goals.

Recursions for Convolutions and Compound Distributions with Insurance Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3540929002
Total Pages : 348 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Recursions for Convolutions and Compound Distributions with Insurance Applications by : Bjoern Sundt

Download or read book Recursions for Convolutions and Compound Distributions with Insurance Applications written by Bjoern Sundt and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1980, methods for recursive evaluation of aggregate claims distributions have received extensive attention in the actuarial literature. This book gives a unified survey of the theory and is intended to be self-contained to a large extent. As the methodology is applicable also outside the actuarial field, it is presented in a general setting, but actuarial applications are used for motivation. The book is divided into two parts. Part I is devoted to univariate distributions, whereas in Part II, the methodology is extended to multivariate settings. Primarily intended as a monograph, this book can also be used as text for courses on the graduate level. Suggested outlines for such courses are given. The book is of interest for actuaries and statisticians working within the insurance and finance industry, as well as for people in other fields like operations research and reliability theory.

Modern Actuarial Risk Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3540709983
Total Pages : 394 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Modern Actuarial Risk Theory by : Rob Kaas

Download or read book Modern Actuarial Risk Theory written by Rob Kaas and published by Springer Science & Business Media. This book was released on 2008-08-17 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Actuarial Risk Theory contains what every actuary needs to know about non-life insurance mathematics. It starts with the standard material like utility theory, individual and collective model and basic ruin theory. Other topics are risk measures and premium principles, bonus-malus systems, ordering of risks and credibility theory. It also contains some chapters about Generalized Linear Models, applied to rating and IBNR problems. As to the level of the mathematics, the book would fit in a bachelors or masters program in quantitative economics or mathematical statistics. This second and much expanded edition emphasizes the implementation of these techniques through the use of R. This free but incredibly powerful software is rapidly developing into the de facto standard for statistical computation, not just in academic circles but also in practice. With R, one can do simulations, find maximum likelihood estimators, compute distributions by inverting transforms, and much more.

Statistical and Probabilistic Methods in Actuarial Science

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Author :
Publisher : CRC Press
ISBN 13 : 1584886951
Total Pages : 369 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Statistical and Probabilistic Methods in Actuarial Science by : Philip J. Boland

Download or read book Statistical and Probabilistic Methods in Actuarial Science written by Philip J. Boland and published by CRC Press. This book was released on 2007-03-05 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical and Probabilistic Methods in Actuarial Science covers many of the diverse methods in applied probability and statistics for students aspiring to careers in insurance, actuarial science, and finance. The book builds on students’ existing knowledge of probability and statistics by establishing a solid and thorough understanding of these methods. It also emphasizes the wide variety of practical situations in insurance and actuarial science where these techniques may be used. Although some chapters are linked, several can be studied independently from the others. The first chapter introduces claims reserving via the deterministic chain ladder technique. The next few chapters survey loss distributions, risk models in a fixed period of time, and surplus processes, followed by an examination of credibility theory in which collateral and sample information are brought together to provide reasonable methods of estimation. In the subsequent chapter, experience rating via no claim discount schemes for motor insurance provides an interesting application of Markov chain methods. The final chapters discuss generalized linear models and decision and game theory. Developed by an author with many years of teaching experience, this text presents an accessible, sound foundation in both the theory and applications of actuarial science. It encourages students to use the statistical software package R to check examples and solve problems.

Probability, Finance And Insurance, Proceedings Of A Workshop

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Publisher : World Scientific
ISBN 13 : 9814482617
Total Pages : 253 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Probability, Finance And Insurance, Proceedings Of A Workshop by : Siu Pang Yung

Download or read book Probability, Finance And Insurance, Proceedings Of A Workshop written by Siu Pang Yung and published by World Scientific. This book was released on 2004-06-28 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop was the first of its kind in bringing together researchers in probability theory, stochastic processes, insurance and finance from mainland China, Taiwan, Hong Kong, Singapore, Australia and the United States. In particular, as China has joined the WTO, there is a growing demand for expertise in actuarial sciences and quantitative finance. The strong probability research and graduate education programs in many of China's universities can be enriched by their outreach in fields that are of growing importance to the country's expanding economy, and the workshop and its proceedings can be regarded as the first step in this direction.This book presents the most recent developments in probability, finance and actuarial sciences, especially in Chinese probability research. It focuses on the integration of probability theory with applications in finance and insurance. It also brings together academic researchers and those in industry and government. With contributions by leading authorities on probability theory — particularly limit theory and large derivations, valuation of credit derivatives, portfolio selection, dynamic protection and ruin theory — it is an essential source of ideas and information for graduate students and researchers in probability theory, mathematical finance and actuarial sciences, and thus every university should acquire a copy.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• Index to Social Sciences & Humanities Proceedings® (ISSHP® / ISI Proceedings)• Index to Social Sciences & Humanities Proceedings (ISSHP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences