Lectures On Risk Theory
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Lectures On Risk Theory
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Author :
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lectures On Risk Theory written by and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
Twenty-five years ago, Hans Blihlmann published his famous monograph Mathe matical Methods in Risk Theory in the series Grundlehren der Mathematischen Wis8enschaften and thus established nonlife actuarial mathematics as a recognized subject of probability theory and statistics with a glance towards economics. This book was my guide to the subject when I gave my first course on nonlife actuarial mathematics in Summer 1988, but at the same time I tried to incorporate into my lectures parts of the rapidly growing literature in this area which to a large extent was inspired by Blihlmann's book. The present book is entirely devoted to a single topic of risk theory: Its subject is the development in time of a fixed portfolio of risks. The book thus concentrates on the claim number process and its relatives, the claim arrival process, the aggregate claims process, the risk process, and the reserve process. Particular emphasis is laid on characterizations of various classes of claim number processes, which provide alternative criteria for model selection, and on their relation to the trinity of the binomial, Poisson, and negativebinomial distributions. Special attention is also paid to the mixed Poisson process, which is a useful model in many applications, to the problems of thinning, decomposition, and superposition of risk processe8, which are important with regard to reinsurance, and to the role of martingales, which occur in a natural way in canonical situations.
Risk Theory
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Author : Hanspeter Schmidli
language : en
Publisher: Springer
Release Date : 2018-04-04
Risk Theory written by Hanspeter Schmidli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-04 with Business & Economics categories.
This book provides an overview of classical actuarial techniques, including material that is not readily accessible elsewhere such as the Ammeter risk model and the Markov-modulated risk model. Other topics covered include utility theory, credibility theory, claims reserving and ruin theory. The author treats both theoretical and practical aspects and also discusses links to Solvency II. Written by one of the leading experts in the field, these lecture notes serve as a valuable introduction to some of the most frequently used methods in non-life insurance. They will be of particular interest to graduate students, researchers and practitioners in insurance, finance and risk management.
Modern Actuarial Risk Theory
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Author : Rob Kaas
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-08
Modern Actuarial Risk Theory written by Rob Kaas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-08 with Business & Economics categories.
Apart from standard actuarial theory, Modern Actuarial Risk Theory contains methods that are relevant for actuarial practice, for instance the rating of automobile insurance policies, premium principles and IBNR models, as well as generalized linear models with an eye on actuarial applications. Furthermore extensive introductions are given to credibility theory and ordering of risks. The book reflects the state of the art in actuarial risk theory. In addition to some chapters which are compatible with official material of actuarial education in North-America, Europe and other parts of the world, the book contains important material on topics that are relevant for recent insurance and actuarial developments including determining solvency measures, fair-value computations, reserving, ranking of risks, modelling dependencies and the use of generalized linear models. Basic ideas on risk measures in the framework of insurance premiums are also considered. The numerous exercises contained in Modern Actuarial Risk Theory, together with the hints for solving the more difficult ones and the numerical answers to many others, make the book useful as a textbook. Some important practical paradigms in insurance are presented in a way that is appealing to actuaries in their daily business. The mathematical background assumed is on a level such as acquired in the first stage of a bachelors program in quantitative economics or mathematical statistics.
Gerber Shiu Risk Theory
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Author : Andreas Kyprianou
language : en
Publisher: Springer
Release Date : 2013-10-16
Gerber Shiu Risk Theory written by Andreas Kyprianou and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-16 with Mathematics categories.
Motivated by the many and long-standing contributions of H. Gerber and E. Shiu, this book gives a modern perspective on the problem of ruin for the classical Cramér–Lundberg model and the surplus of an insurance company. The book studies martingales and path decompositions, which are the main tools used in analysing the distribution of the time of ruin, the wealth prior to ruin and the deficit at ruin. Recent developments in exotic ruin theory are also considered. In particular, by making dividend or tax payments out of the surplus process, the effect on ruin is explored. Gerber-Shiu Risk Theory can be used as lecture notes and is suitable for a graduate course. Each chapter corresponds to approximately two hours of lectures.
Insurance And Risk Theory
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Author : Marc Goovaerts
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Insurance And Risk Theory written by Marc Goovaerts and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
Canadian financial institutions have been in rapid change in the past five years. In response to these changes, the Department of Finance issued a discussion paper: The Regulation of Canadian Financial Institutions, in April 1985, and the government intends to introduce legislation in the fall. This paper studi.es the combinantion of financial institutions from the viewpoint of ruin probability. In risk theory developed to describe insurance companies [1,2,3,4,5J, the ruin probability of a company with initial reserve (capital) u is 6 1 -:;-7;;f3 u 1jJ(u) = H6 e H6 (1) Here,we assume that claims arrive as a Poisson process, and the claim amount is distributed as exponential distribution with expectation liS. 6 is the loading, i.e., premium charged is (1+6) times expected claims. Financial institutions are treated as "insurance companies": the difference between interest charged and interest paid is regarded as premiums, loan defaults are treated as claims.
Lectures On Stochastic Programming
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Author : Alexander Shapiro
language : en
Publisher: SIAM
Release Date : 2009-10-08
Lectures On Stochastic Programming written by Alexander Shapiro and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-08 with Mathematics categories.
A comprehensive treatment of optimization problems involving uncertain parameters for which stochastic models are available.
Handbook Of Financial Risk Management
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Author : Thierry Roncalli
language : en
Publisher: CRC Press
Release Date : 2020-04-23
Handbook Of Financial Risk Management written by Thierry Roncalli and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-23 with Business & Economics categories.
Developed over 20 years of teaching academic courses, the Handbook of Financial Risk Management can be divided into two main parts: risk management in the financial sector; and a discussion of the mathematical and statistical tools used in risk management. This comprehensive text offers readers the chance to develop a sound understanding of financial products and the mathematical models that drive them, exploring in detail where the risks are and how to manage them. Key Features: Written by an author with both theoretical and applied experience Ideal resource for students pursuing a master’s degree in finance who want to learn risk management Comprehensive coverage of the key topics in financial risk management Contains 114 exercises, with solutions provided online at www.crcpress.com/9781138501874
Lectures In The Microeconomics Of Choice Foundations Consumers And Producers
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Author : William David Anthony Bryant
language : en
Publisher: World Scientific
Release Date : 2023-02-17
Lectures In The Microeconomics Of Choice Foundations Consumers And Producers written by William David Anthony Bryant and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-17 with Business & Economics categories.
People pursue their own interests, whatever those interests might be. Some people have interests that are narrow and selfish, while others have interests that are broad and altruistic. The idea that people are self-interested underpins all of economic analysis and raises two fundamental questions: 1. How do people choose the actions they think will further their own interests? 2. Can the potentially conflicting interests of different people be made to 'mesh' in some sort of socio-economic equilibrium? This book is devoted to a detailed study of the first question. Its Companion Volume (Economy-Wide Microeconomics: Equilibrium, Optimality, Applications and Tests) makes a detailed study of the second question.Following some foundational remarks, this book studies the Arrow-Debreu theory of consumer choice. That theory supposes people choose so as to maximize a complete, continuous, transitive, and reflexive binary preference relation over a non-empty and compact choice set. The book then studies numerous refinements, generalizations and extensions of each of these restrictions — up to and including recent work on Behavioral theories of choice and choice behaviour when preferences are intransitive/incomplete/discontinuous. Also considered is choice behaviour in environments that are not necessarily compact. A study is also made of intertemporal choice and choice under uncertainty. The study of Arrow-Debreu choice theory and its extensions are presented from the Primal, Dual, and Revealed Preference points of view.Consumers are not the only agents in the economy, as Producers are present as well. Beginning with a study of the Arrow-Debreu idea that producers choose from a convex production set so as to maximize profit, the book considers extensions and generalizations of this framework, particularly to non-convex environments. The study is presented from the Primal and Dual points of view.The final chapter in the book provides a link to its Companion Volume. The Chapter indicates how the theories of consumer and producer choice studied here help inform answers of the second question posed above.Resources are available to instructors who adopt this book. More details at www.worldscientific.com/worldscibooks/10.1142/12789-sm
Terzaghi Lectures
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Author : Karl Terzaghi
language : en
Publisher: ASCE Publications
Release Date : 1986-01-01
Terzaghi Lectures written by Karl Terzaghi and has been published by ASCE Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-01-01 with Technology & Engineering categories.
Sponsored by the Executive Committee of the Geotechnical Engineering Division of ASCE. This Geotechnical Special Publication contains eight lectures given between 1974 and 1983 in honor of Karl Terzaghi and repressenting diverse aspects of geotechnical engineering and engineering geology. Topics include: the relationship of geology and geotechnical engineering and how a study of the geology of engineering sites is an important starting point for all geotechnical site studies; effects of dynamic soil properties on soil-structure interaction; bearing capacity and settlement of pile foundations; design and construction of drilled shafts; evaluating calculated risk in geotechnical engineering; proposal forØthe establishment of a national center for investigating civil engineering failures, with several case studies; pre-Columbian earth construction in the Americas and technological developments between 2,500 and 500 years ago; and recent progress in the design and construction of concrete-face rockfill dams. The 1978 lecture by the late N.M. Newmark is not included.