Stochastic Modeling
Author :
Publisher :
Page : pages
File Size : 32,4 MB
Release : 2010
Category : Actuarial science
ISBN : 9780981396811
Actuarial Science
Author : Hanji Shang
Publisher : World Scientific
Page : 282 pages
File Size : 33,1 MB
Release : 2006
Category : Mathematics
ISBN : 9812565051
Book Description
Since actuarial education was introduced into China in the 1980s, Chinese scholars have paid greater attention to the theoretical research of actuarial science. Professors and industry experts from well-known universities in China recently worked together on the project ?Insurance Information Processing and Actuarial Mathematics Theory and Methodology?, which was supported by the Chinese government. Summarizing what they achieved, this volume provides a study of some basic problems of actuarial science, including risk models, risk evaluation and analysis, and premium principles. The contributions cover some new applications of probability and statistics, fuzzy mathematics and financial economics to the field of actuarial practices. Discussions on the new insurance market in China are also presented.
Actuarial Modelling of Claim Counts
Author : Michel Denuit
Publisher : John Wiley & Sons
Page : 384 pages
File Size : 37,7 MB
Release : 2007-07-27
Category : Mathematics
ISBN : 9780470517413
Book Description
There are a wide range of variables for actuaries to consider when calculating a motorist’s insurance premium, such as age, gender and type of vehicle. Further to these factors, motorists’ rates are subject to experience rating systems, including credibility mechanisms and Bonus Malus systems (BMSs). Actuarial Modelling of Claim Counts presents a comprehensive treatment of the various experience rating systems and their relationships with risk classification. The authors summarize the most recent developments in the field, presenting ratemaking systems, whilst taking into account exogenous information. The text: Offers the first self-contained, practical approach to a priori and a posteriori ratemaking in motor insurance. Discusses the issues of claim frequency and claim severity, multi-event systems, and the combinations of deductibles and BMSs. Introduces recent developments in actuarial science and exploits the generalised linear model and generalised linear mixed model to achieve risk classification. Presents credibility mechanisms as refinements of commercial BMSs. Provides practical applications with real data sets processed with SAS software. Actuarial Modelling of Claim Counts is essential reading for students in actuarial science, as well as practicing and academic actuaries. It is also ideally suited for professionals involved in the insurance industry, applied mathematicians, quantitative economists, financial engineers and statisticians.
Insurance Risk and Ruin
Author : David C. M. Dickson
Publisher : Cambridge University Press
Page : 307 pages
File Size : 12,49 MB
Release : 2016-10-27
Category : Business & Economics
ISBN : 110715460X
Book Description
Balancing rigor and intuition, the new edition of this first course in risk theory has added exercises and expands on contemporary topics.
Risk, Information and Insurance
Author : Henri Loubergé
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 38,65 MB
Release : 2012-12-06
Category : Business & Economics
ISBN : 9400921837
Book Description
Orio Giarini The "Geneva Association" (International Association for the Study of Risk and Insurance Economics) was founded in 1973. The main goal was to stimulate and organize objective research in the field of risk, uncertainty, and insurance, in a world in which such issues were clearly becoming of greater and greater relevance for all economic actors. This was a pioneer ing effort, especially as economic theory and the teaching of economics were still anchored to the key notion of general equilibrium under an assumption of certainty. Thus, we had to start our work almost from scratch. One of the first initiatives was to bring together in Geneva, in June of 1973, all the academics in Europe already involved in risk and insurance economics. We found eight from five different countries who never had met before. This seminar chaired by Raymond Barre, the first president of The Geneva Association, was the first of an annual series that became known as the seminar of "The European Group of Risk and Insurance Economists." Since then more than 100 economists from most European countries as well as participants from two other continents and in particular from the United States have taken part in this seminar.
Encyclopedia of Quantitative Risk Analysis and Assessment
Author :
Publisher : John Wiley & Sons
Page : 2163 pages
File Size : 47,37 MB
Release : 2008-09-02
Category : Mathematics
ISBN : 0470035498
Book Description
Leading the way in this field, the Encyclopedia of Quantitative Risk Analysis and Assessment is the first publication to offer a modern, comprehensive and in-depth resource to the huge variety of disciplines involved. A truly international work, its coverage ranges across risk issues pertinent to life scientists, engineers, policy makers, healthcare professionals, the finance industry, the military and practising statisticians. Drawing on the expertise of world-renowned authors and editors in this field this title provides up-to-date material on drug safety, investment theory, public policy applications, transportation safety, public perception of risk, epidemiological risk, national defence and security, critical infrastructure, and program management. This major publication is easily accessible for all those involved in the field of risk assessment and analysis. For ease-of-use it is available in print and online.
Claim Models
Author : Greg Taylor
Publisher : MDPI
Page : 108 pages
File Size : 34,25 MB
Release : 2020-04-15
Category : Business & Economics
ISBN : 3039286641
Book Description
This collection of articles addresses the most modern forms of loss reserving methodology: granular models and machine learning models. New methodologies come with questions about their applicability. These questions are discussed in one article, which focuses on the relative merits of granular and machine learning models. Others illustrate applications with real-world data. The examples include neural networks, which, though well known in some disciplines, have previously been limited in the actuarial literature. This volume expands on that literature, with specific attention to their application to loss reserving. For example, one of the articles introduces the application of neural networks of the gated recurrent unit form to the actuarial literature, whereas another uses a penalized neural network. Neural networks are not the only form of machine learning, and two other papers outline applications of gradient boosting and regression trees respectively. Both articles construct loss reserves at the individual claim level so that these models resemble granular models. One of these articles provides a practical application of the model to claim watching, the action of monitoring claim development and anticipating major features. Such watching can be used as an early warning system or for other administrative purposes. Overall, this volume is an extremely useful addition to the libraries of those working at the loss reserving frontier.
Modern Actuarial Risk Theory
Author : Rob Kaas
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 31,27 MB
Release : 2008-08-17
Category : Business & Economics
ISBN : 3540709983
Book Description
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.
Loss Reserving
Author : Gregory Taylor
Publisher : Springer Science & Business Media
Page : 396 pages
File Size : 25,77 MB
Release : 2012-12-06
Category : Business & Economics
ISBN : 1461545838
Book Description
All property and casualty insurers are required to carry out loss reserving as a statutory accounting function. Thus, loss reserving is an essential sphere of activity, and one with its own specialized body of knowledge. While few books have been devoted to the topic, the amount of published research literature on loss reserving has almost doubled in size during the last fifteen years. Greg Taylor's book aims to provide a comprehensive, state-of-the-art treatment of loss reserving that reflects contemporary research advances to date. Divided into two parts, the book covers both the conventional techniques widely used in practice, and more specialized loss reserving techniques employing stochastic models. Part I, Deterministic Models, covers very practical issues through the abundant use of numerical examples that fully develop the techniques under consideration. Part II, Stochastic Models, begins with a chapter that sets up the additional theoretical material needed to illustrate stochastic modeling. The remaining chapters in Part II are self-contained, and thus can be approached independently of each other. A special feature of the book is the use throughout of a single real life data set to illustrate the numerical examples and new techniques presented. The data set illustrates most of the difficult situations presented in actuarial practice. This book will meet the needs for a reference work as well as for a textbook on loss reserving.
Statistical Size Distributions in Economics and Actuarial Sciences
Author : Christian Kleiber
Publisher : John Wiley & Sons
Page : 354 pages
File Size : 38,29 MB
Release : 2003-10-24
Category : Mathematics
ISBN : 0471457167
Book Description
A comprehensive account of economic size distributions around the world and throughout the years In the course of the past 100 years, economists and applied statisticians have developed a remarkably diverse variety of income distribution models, yet no single resource convincingly accounts for all of these models, analyzing their strengths and weaknesses, similarities and differences. Statistical Size Distributions in Economics and Actuarial Sciences is the first collection to systematically investigate a wide variety of parametric models that deal with income, wealth, and related notions. Christian Kleiber and Samuel Kotz survey, compliment, compare, and unify all of the disparate models of income distribution, highlighting at times a lack of coordination between them that can result in unnecessary duplication. Considering models from eight languages and all continents, the authors discuss the social and economic implications of each as well as distributions of size of loss in actuarial applications. Specific models covered include: Pareto distributions Lognormal distributions Gamma-type size distributions Beta-type size distributions Miscellaneous size distributions Three appendices provide brief biographies of some of the leading players along with the basic properties of each of the distributions. Actuaries, economists, market researchers, social scientists, and physicists interested in econophysics will find Statistical Size Distributions in Economics and Actuarial Sciences to be a truly one-of-a-kind addition to the professional literature.
