Download or read book Collective and Mixed Risk Models written by Liansheng Chen and published by . This book was released on 1995 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Collective Risk Models with Dependence written by Hélène Cossette and published by . This book was released on 2018 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: In actuarial science, collective risk models, in which the aggregate claim amount of a portfolio is defined in terms of random sums, play a crucial role. In these models, it is common to assume that the number of claims and their amounts are independent, even if this might not always be the case. We consider collective risk models with different dependence structures. Due to the importance of such distributions in an actuarial setting, we first investigate a collective risk model with dependence involving the family of multivariate mixed Erlang distributions. Other models based on mixtures involving bivariate and multivariate copulas in a more general setting are then presented. These different structures allow to link the number of claims to each claim amount, and to quantify the aggregate claim loss. Then, we use Archimedean and hierarchical Archimedean copulas in collective risk models, to model the dependence between the claim number random variable and the claim amount random variables involved in the random sum. Such dependence structures allow us to derive a computational methodology for the assessment of the aggregate claim amount. While being very flexible, this methodology is easy to implement, and can easily fit more complicated hierarchical structures.
Download or read book Environmental Impact Statement of the Construction and Operation of a Proposed Mixed Oxide Fuel Fabrication Facility at the Savannah River Site South Carolina written by and published by Government Printing Office. This book was released on 2005-02-24 with total page 1104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evaluates the potential environmental impacts of a proposed mixed oxide fuel (MOX) fabrication facility that would convert depleted uranium and weapons-grade plutonium into MOX fuel.
Download or read book Construction and Operation of a Mixed Oxide Fuel Fabrication Facility at the Savannah River Site written by and published by . This book was released on 2005 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modern Actuarial Risk Theory written by Rob Kaas and published by Springer Science & Business Media. This book was released on 2008-12-03 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.
Download or read book The Collective Risk Model for Aggregate Losses written by Zhi Hu and published by . This book was released on 1999 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlife Actuarial Models written by Yiu-Kuen Tse and published by Cambridge University Press. This book was released on 2009-09-17 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: This class-tested undergraduate textbook covers the entire syllabus for Exam C of the Society of Actuaries (SOA).
Download or read book Collective Risk Models with Dependence Uncertainty written by Haiyan Liu and published by . This book was released on 2017 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: We bring the recently developed framework of dependence uncertainty into collective risk models, one of the most classic models in actuarial science. We study the worst-case values of the Value-at-Risk (VaR) and the Expected Shortfall (ES) of the aggregate loss in collective risk models, under two settings of dependence uncertainty: (i) the counting random variable (claim frequency) and the individual losses (claim sizes) are independent, and the dependence of the individual losses is unknown; (ii) the dependence of the counting random variable and the individual losses is unknown. Analytical results for the worst-case values of ES are obtained. For the loss from a large portfolio of insurance policies, an asymptotic equivalence of VaR and ES is established. Our results can be used to provide approximations for VaR and ES in collective risk models with unknown dependence. Approximation errors are obtained in both cases.
Download or read book Simulation of a Multi risk Collective Model written by John A. Beekman and published by . This book was released on 1976 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Risk Modelling in General Insurance written by Roger J. Gray and published by Cambridge University Press. This book was released on 2012-06-28 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide range of topics give students a firm foundation in statistical and actuarial concepts and their applications.
Download or read book Practical Risk Theory for Actuaries written by C.D. Daykin and published by CRC Press. This book was released on 1993-12-01 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic textbook covers all aspects of risk theory in a practical way. It builds on from the late R.E. Beard's extremely popular book Risk Theory, but features more emphasis on simulation and modeling and on the use of risk theory as a practical tool. Practical Risk Theory is a textbook for practicing and student actuaries on the practical aspects of stochastic modeling of the insurance business. It has its roots in the classical theory of risk but introduces many new elements that are important in managing the insurance business but are usually ignored in the classical theory. The authors avoid overcomplicated mathematics and provide an abundance of diagrams.
Download or read book Loss Models written by Stuart A. Klugman and published by John Wiley & Sons. This book was released on 2012-01-25 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: An update of one of the most trusted books on constructing and analyzing actuarial models Written by three renowned authorities in the actuarial field, Loss Models, Third Edition upholds the reputation for excellence that has made this book required reading for the Society of Actuaries (SOA) and Casualty Actuarial Society (CAS) qualification examinations. This update serves as a complete presentation of statistical methods for measuring risk and building models to measure loss in real-world events. This book maintains an approach to modeling and forecasting that utilizes tools related to risk theory, loss distributions, and survival models. Random variables, basic distributional quantities, the recursive method, and techniques for classifying and creating distributions are also discussed. Both parametric and non-parametric estimation methods are thoroughly covered along with advice for choosing an appropriate model. Features of the Third Edition include: Extended discussion of risk management and risk measures, including Tail-Value-at-Risk (TVaR) New sections on extreme value distributions and their estimation Inclusion of homogeneous, nonhomogeneous, and mixed Poisson processes Expanded coverage of copula models and their estimation Additional treatment of methods for constructing confidence regions when there is more than one parameter The book continues to distinguish itself by providing over 400 exercises that have appeared on previous SOA and CAS examinations. Intriguing examples from the fields of insurance and business are discussed throughout, and all data sets are available on the book's FTP site, along with programs that assist with conducting loss model analysis. Loss Models, Third Edition is an essential resource for students and aspiring actuaries who are preparing to take the SOA and CAS preliminary examinations. It is also a must-have reference for professional actuaries, graduate students in the actuarial field, and anyone who works with loss and risk models in their everyday work. To explore our additional offerings in actuarial exam preparation visit www.wiley.com/go/actuarialexamprep.
Download or read book Nutritional Care of the Patient with Gastrointestinal Disease written by Alan L Buchman and published by CRC Press. This book was released on 2015-08-06 with total page 3428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This evidence-based book serves as a clinical manual as well as a reference guide for the diagnosis and management of common nutritional issues in relation to gastrointestinal disease. Chapters cover nutrition assessment; macro- and micronutrient absorption; malabsorption; food allergies; prebiotics and dietary fiber; probiotics and intestinal microflora; nutrition and GI cancer; nutritional management of reflux; nutrition in IBS and IBD; nutrition in acute and chronic pancreatitis; enteral nutrition; parenteral nutrition; medical and endoscopic therapy of obesity; surgical therapy of obesity; pharmacologic nutrition, and nutritional counseling.
Download or read book Costs and Benefits of Collective Pension Systems written by Onno W. Steenbeek and published by Springer Science & Business Media. This book was released on 2007-10-11 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recommended by Nobel Laureate Robert C. Merton, this book offers the world a first-hand opportunity to learn why the Dutch pension system is so often praised and how it operates. The book also discusses aspects of the system that are less favorable, such as implicit value transfers from younger to older generations that limit mobility of labor. Throughout the discussions, the authors provide quantitative evidence to support their assertions.
Download or read book Roundtable Discussion written by United States. Congress. Senate. Committee on Health, Education, Labor, and Pensions and published by . This book was released on 2015 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Generalized linear mixed models in portfolio credit risk modelling written by Alexander J. McNeil (Mathématicien.) and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Generalized Linear Mixed Models for Dependent Compound Risk Models written by Himchan Jeong and published by . This book was released on 2017 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: In ratemaking, calculation of a pure premium has traditionally been based on modeling frequency and severity in an aggregated claims model. For simplicity, it has been a standard practice to assume the independence of loss frequency and loss severity. In recent years, there is sporadic interest in the actuarial literature exploring models that departs from this independence. In this article, we extend the work of Garrido et al. (2016) which uses generalized linear models (GLMs) that account for dependence between frequency and severity and simultaneously incorporate rating factors to capture policyholder heterogeneity. In addition, we quantify and explain the contribution of the variability of claims among policyholders through the use of random effects using generalized linear mixed models (GLMMs). We calibrated our model using a portfolio of auto insurance contracts from a Singapore insurer where we observed claim counts and amounts from policyholders for a period of six years. We compared our results with the dependent GLM considered by Garrido et al. (2016), Tweedie models, and the case of independence. The dependent GLMM shows statistical evidence of positive dependence between frequency and severity. Using validation procedures, we find that the results demonstrate a more superior model when random effects are considered within a GLMM framework.
