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Surplus Analysis Of Sparre Andersen Insurance Risk Processes
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Book Synopsis Surplus Analysis of Sparre Andersen Insurance Risk Processes by : Gordon E. Willmot
Download or read book Surplus Analysis of Sparre Andersen Insurance Risk Processes written by Gordon E. Willmot and published by Springer. This book was released on 2017-12-21 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This carefully written monograph covers the Sparre Andersen process in an actuarial context using the renewal process as the model for claim counts. A unified reference on Sparre Andersen (renewal risk) processes is included, often missing from existing literature. The authors explore recent results and analyse various risk theoretic quantities associated with the event of ruin, including the time of ruin and the deficit of ruin. Particular attention is given to the explicit identification of defective renewal equation components, which are needed to analyse various risk theoretic quantities and are also relevant in other subject areas of applied probability such as dams and storage processes, as well as queuing theory. Aimed at researchers interested in risk/ruin theory and related areas, this work will also appeal to graduate students in classical and modern risk theory and Gerber-Shiu analysis.
Book Synopsis Risk Measures and Insurance Solvency Benchmarks by : Vsevolod K. Malinovskii
Download or read book Risk Measures and Insurance Solvency Benchmarks written by Vsevolod K. Malinovskii and published by CRC Press. This book was released on 2021-07-22 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Risk Measures and Insurance Solvency Benchmarks: Fixed-Probability Levels in Renewal Risk Models is written for academics and practitioners who are concerned about potential weaknesses of the Solvency II regulatory system. It is also intended for readers who are interested in pure and applied probability, have a taste for classical and asymptotic analysis, and are motivated to delve into rather intensive calculations. The formal prerequisite for this book is a good background in analysis. The desired prerequisite is some degree of probability training, but someone with knowledge of the classical real-variable theory, including asymptotic methods, will also find this book interesting. For those who find the proofs too complicated, it may be reassuring that most results in this book are formulated in rather elementary terms. This book can also be used as reading material for basic courses in risk measures, insurance mathematics, and applied probability. The material of this book was partly used by the author for his courses in several universities in Moscow, Copenhagen University, and in the University of Montreal. Features Requires only minimal mathematical prerequisites in analysis and probability Suitable for researchers and postgraduate students in related fields Could be used as a supplement to courses in risk measures, insurance mathematics and applied probability.
Book Synopsis The Cramér–Lundberg Model and Its Variants by : Michel Mandjes
Download or read book The Cramér–Lundberg Model and Its Variants written by Michel Mandjes and published by Springer Nature. This book was released on 2023-12-29 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive examination of the Cramér–Lundberg model, which is the most extensively researched model in ruin theory. It covers the fundamental dynamics of an insurance company's surplus level in great detail, presenting a thorough analysis of the ruin probability and related measures for both the standard model and its variants. Providing a systematic and self-contained approach to evaluate the crucial quantities found in the Cramér–Lundberg model, the book makes use of connections with related queueing models when appropriate, and its emphasis on clean transform-based techniques sets it apart from other works. In addition to consolidating a wealth of existing results, the book also derives several new outcomes using the same methodology. This material is complemented by a thoughtfully chosen collection of exercises. The book's primary target audience is master's and starting PhD students in applied mathematics, operations research, and actuarial science, although it also serves as a useful methodological resource for more advanced researchers. The material is self-contained, requiring only a basic grounding in probability theory and some knowledge of transform techniques.
Book Synopsis Closure Properties for Heavy-Tailed and Related Distributions by : Remigijus Leipus
Download or read book Closure Properties for Heavy-Tailed and Related Distributions written by Remigijus Leipus and published by Springer Nature. This book was released on 2023-10-16 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a compact and systematic overview of closure properties of heavy-tailed and related distributions, including closure under tail equivalence, convolution, finite mixing, maximum, minimum, convolution power and convolution roots, and product-convolution closure. It includes examples and counterexamples that give an insight into the theory and provides numerous references to technical details and proofs for a deeper study of the subject. The book will serve as a useful reference for graduate students, young researchers, and applied scientists.
Book Synopsis Encyclopedia of Quantitative Risk Analysis and Assessment by :
Download or read book Encyclopedia of Quantitative Risk Analysis and Assessment written by and published by John Wiley & Sons. This book was released on 2008-09-02 with total page 2163 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Modern Problems of Stochastic Analysis and Statistics by : Vladimir Panov
Download or read book Modern Problems of Stochastic Analysis and Statistics written by Vladimir Panov and published by Springer. This book was released on 2017-11-21 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together the latest findings in the area of stochastic analysis and statistics. The individual chapters cover a wide range of topics from limit theorems, Markov processes, nonparametric methods, acturial science, population dynamics, and many others. The volume is dedicated to Valentin Konakov, head of the International Laboratory of Stochastic Analysis and its Applications on the occasion of his 70th birthday. Contributions were prepared by the participants of the international conference of the international conference “Modern problems of stochastic analysis and statistics”, held at the Higher School of Economics in Moscow from May 29 - June 2, 2016. It offers a valuable reference resource for researchers and graduate students interested in modern stochastics.
Download or read book Ruin Probabilities written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Insurance Models by : S. Ramasubramanian
Download or read book Lectures on Insurance Models written by S. Ramasubramanian and published by Springer. This book was released on 2009-04-15 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Insurance has become a necessary aspect of modern society. The mathematical basis of insurance modeling is best expressed in terms of continuous time stochastic processes. This introductory text on actuarial risk theory deals with the Cramer-Lundberg model and the renewal risk model. Their basic structure and properties, including the renewal theorems as well as the corresponding ruin problems, are studied. There is a detailed discussion of heavy tailed distributions, which have become increasingly relevant. The Lundberg risk process with investment in risky asset is also considered. This book will be useful to practitioners in the field and to graduate students interested in this important branch of applied probability.
Book Synopsis ANALYSIS OF THE GENERALIZED GE by : Xiaozhen Qi
Download or read book ANALYSIS OF THE GENERALIZED GE written by Xiaozhen Qi and published by Open Dissertation Press. This book was released on 2017-01-26 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Analysis of the Generalized Gerber-Shiu Function in Discrete-time Dependent Sparre Andersen Model" by Xiaozhen, Qi, 亓孝真, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: There is a vast literature in the analysis of the insurer's surplus process under the Sparre Andersen risk model. Since it is cumbersome to calculate distributions of ruin-related quantities in the continuous-time model, we shall consider the discrete-time model as a quick approximation to the corresponding ones in the continuous-time model. In this work, we consider the discrete-time setting of the Sparre Andersen risk model and use the generalized Gerber-Shiu function to study various ruin-related quantities associated with variables in the generalized Gerber-Shiu function such as the ladder height and the claim causing ruin. First, the structural properties of the generalized Gerber-Shiu function are obtained and in turn, joint/marginal distributions of ruin-related quantities of our interest are derived. Then we shall assume particular dependency structure for the claim sizes and the interclaim times. In addition to the ordinary risk model, the delayed model has been receiving attention since the occurrence of the last claim before time zero is taken into account to model the process. Hence we shall investigate general results for the Gerber-Shiu function in the delayed model with time-dependent claim and also focus on its relationship with the ordinary model. Finally the Farlie-Gumbel-Mogenstern (FGM) copula is considered to model dependency structure and distributions of the ruin-related quantities such as the claim causing ruin and the last ladder height. We will demonstrate the effects of dependency parameters, initial surpluses, discounting factors on the aforementioned distributions. Moreover, the probability functions of those quantities under the ordinary model and the delayed model are compared. Subjects: Risk (Insurance) - Mathematical models
Book Synopsis Encyclopedia of Quantitative Risk Analysis and Assessment: R-Z by : Edward L. Melnick
Download or read book Encyclopedia of Quantitative Risk Analysis and Assessment: R-Z written by Edward L. Melnick and published by . This book was released on 2008 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Processes by : Alexander Zeifman
Download or read book Stochastic Processes written by Alexander Zeifman and published by MDPI. This book was released on 2019-12-12 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this special issue is to publish original research papers that cover recent advances in the theory and application of stochastic processes. There is especial focus on applications of stochastic processes as models of dynamic phenomena in various research areas, such as queuing theory, physics, biology, economics, medicine, reliability theory, and financial mathematics. Potential topics include, but are not limited to: Markov chains and processes; large deviations and limit theorems; random motions; stochastic biological model; reliability, availability, maintenance, inspection; queueing models; queueing network models; computational methods for stochastic models; applications to risk theory, insurance and mathematical finance.
Book Synopsis Operations Research and Optimization by : Samarjit Kar
Download or read book Operations Research and Optimization written by Samarjit Kar and published by Springer. This book was released on 2018-04-06 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent developments in the vast domain of optimization. Featuring papers presented at the 1st International Conference on Frontiers in Optimization: Theory and Applications (FOTA 2016), held at the Heritage Institute of Technology, Kolkata, on 24–26 December 2016, it opens new avenues of research in all topics related to optimization, such as linear and nonlinear optimization; combinatorial-, stochastic-, dynamic-, fuzzy-, and uncertain optimization; optimal control theory; as well as multi-objective, evolutionary and convex optimization and their applications in intelligent information and technology, systems science, knowledge management, information and communication, supply chain and inventory control, scheduling, networks, transportation and logistics and finance. The book is a valuable resource for researchers, scientists and engineers from both academia and industry.
Book Synopsis The Joint Distribution of the Surplus Prior to Ruin and the Deficit at Ruin in Some Sparre Andersen Models by : David C. M. Dickson
Download or read book The Joint Distribution of the Surplus Prior to Ruin and the Deficit at Ruin in Some Sparre Andersen Models written by David C. M. Dickson and published by . This book was released on 2003 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Issues in Insurance and Risk Management: 2013 Edition by :
Download or read book Issues in Insurance and Risk Management: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-05-01 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Insurance and Risk Management / 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Risk Management. The editors have built Issues in Insurance and Risk Management: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Risk Management in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Insurance and Risk Management: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Book Synopsis Risk and Insurance by : Søren Asmussen
Download or read book Risk and Insurance written by Søren Asmussen and published by Springer Nature. This book was released on 2020-04-17 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a broad overview of the present state of insurance mathematics and some related topics in risk management, financial mathematics and probability. Both non-life and life aspects are covered. The emphasis is on probability and modeling rather than statistics and practical implementation. Aimed at the graduate level, pointing in part to current research topics, it can potentially replace other textbooks on basic non-life insurance mathematics and advanced risk management methods in non-life insurance. Based on chapters selected according to the particular topics in mind, the book may serve as a source for introductory courses to insurance mathematics for non-specialists, advanced courses for actuarial students, or courses on probabilistic aspects of risk. It will also be useful for practitioners and students/researchers in related areas such as finance and statistics who wish to get an overview of the general area of mathematical modeling and analysis in insurance.
Book Synopsis Insurance Risk and Ruin by : David C. M. Dickson
Download or read book Insurance Risk and Ruin written by David C. M. Dickson and published by Cambridge University Press. This book was released on 2016-10-27 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this book is on the two major areas of risk theory: aggregate claims distributions and ruin theory. For aggregate claims distributions, detailed descriptions are given of recursive techniques that can be used in the individual and collective risk models. For the collective model, the book discusses different classes of counting distribution, and presents recursion schemes for probability functions and moments. For the individual model, the book illustrates the three most commonly applied techniques. Beyond the classical topics in ruin theory, this new edition features an expanded section covering time of ruin problems, Gerber–Shiu functions, and the application of De Vylder approximations. Suitable for a first course in insurance risk theory and extensively classroom tested, the book is accessible to readers with a solid understanding of basic probability. Numerous worked examples are included and each chapter concludes with exercises for which complete solutions are provided.
Book Synopsis Markov Processes, Semigroups, and Generators by : Vassili N. Kolokoltsov
Download or read book Markov Processes, Semigroups, and Generators written by Vassili N. Kolokoltsov and published by Walter de Gruyter. This book was released on 2011 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work offers a highly useful, well developed reference on Markov processes, the universal model for random processes and evolutions. The wide range of applications, in exact sciences as well as in other areas like social studies, require a volume that offers a refresher on fundamentals before conveying the Markov processes and examples for
