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Author : Richard Conrad Murphy
Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.:/5 (334 download)
Download or read book Some Ruin Probability Results with Applications to Collective Risk Theory written by Richard Conrad Murphy and published by . This book was released on 1972 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Markham Kahn
Publisher :
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.3/5 (91 download)
Download or read book SOME APPLICATIONS OF COLLECTIVE RISK THEORY TO REINSURANCE AND GROUP EXPERIENCE RATING. written by Paul Markham Kahn and published by . This book was released on 1961 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S?ren Asmussen
Publisher : World Scientific
ISBN 13 : 9814282529
Total Pages : 621 pages
Book Rating : 4.8/5 (142 download)
Download or read book Ruin Probabilities written by S?ren Asmussen and published by World Scientific. This book was released on 2010 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives a comprehensive treatment of the classical and modern ruin probability theory. Some of the topics are Lundberg's inequality, the Cramr?Lundberg approximation, exact solutions, other approximations (e.g., for heavy-tailed claim size distributions), finite horizon ruin probabilities, extensions of the classical compound Poisson model to allow for reserve-dependent premiums, Markov-modulation, periodicity, change of measure techniques, phase-type distributions as a computational vehicle and the connection to other applied probability areas, like queueing theory. In this substantially updated and extended second version, new topics include stochastic control, fluctuation theory for Levy processes, Gerber?Shiu functions and dependence.
Author : S?ren Asmussen
Publisher : World Scientific
ISBN 13 : 9812779310
Total Pages : 399 pages
Book Rating : 4.8/5 (127 download)
Download or read book Ruin Probabilities written by S?ren Asmussen and published by World Scientific. This book was released on 2000 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text is a treatment of classical and modern ruin probability theory. Some of the topics are Lundberg's inequality, the Cramer-Lundberg approximation, exact solutions, other approximations (for example, for heavy-tailed claim size distributions), finite horizon ruin probabilities, extensions of the classical compound Poisson model to allow for reserve-dependent premiums, Markov-modulation or periodicity. Special features of the book are the emphasis on change of measure techniques, phase-type distributions as computational vehicle and the connection to other applied probability areas like queueing theory.
Author : Vladimir V. Kalashnikov
Publisher : Springer Science & Business Media
ISBN 13 : 9401716935
Total Pages : 285 pages
Book Rating : 4.4/5 (17 download)
Download or read book Geometric Sums: Bounds for Rare Events with Applications written by Vladimir V. Kalashnikov and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews problems associated with rare events arising in a wide range of circumstances, treating such topics as how to evaluate the probability an insurance company will be bankrupted, the lifetime of a redundant system, and the waiting time in a queue. Well-grounded, unique mathematical evaluation methods of basic probability characteristics concerned with rare events are presented, which can be employed in real applications, as the volume also contains relevant numerical and Monte Carlo methods. The various examples, tables, figures and algorithms will also be appreciated. Audience: This work will be useful to graduate students, researchers and specialists interested in applied probability, simulation and operations research.
Author : Hans Bühlmann
Publisher : Springer Science & Business Media
ISBN 13 : 3540307117
Total Pages : 218 pages
Book Rating : 4.5/5 (43 download)
Download or read book Mathematical Methods in Risk Theory written by Hans Bühlmann and published by Springer Science & Business Media. This book was released on 2007-06-15 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "The huge literature in risk theory has been carefully selected and supplemented by personal contributions of the author, many of which appear here for the first time. The result is a systematic and very readable book, which takes into account the most recent developments of the field. It will be of great interest to the actuary as well as to the statistician . . ." -- Math. Reviews Vol. 43
Author : Yuliya Mishura
Publisher : Elsevier
ISBN 13 : 0081020988
Total Pages : 278 pages
Book Rating : 4.0/5 (81 download)
Download or read book Ruin Probabilities written by Yuliya Mishura and published by Elsevier. This book was released on 2016-11-08 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ruin Probabilities: Smoothness, Bounds, Supermartingale Approach deals with continuous-time risk models and covers several aspects of risk theory. The first of them is the smoothness of the survival probabilities. In particular, the book provides a detailed investigation of the continuity and differentiability of the infinite-horizon and finite-horizon survival probabilities for different risk models. Next, it gives some possible applications of the results concerning the smoothness of the survival probabilities. Additionally, the book introduces the supermartingale approach, which generalizes the martingale one introduced by Gerber, to get upper exponential bounds for the infinite-horizon ruin probabilities in some generalizations of the classical risk model with risky investments. Provides new original results Detailed investigation of the continuity and differentiability of the infinite-horizon and finite-horizon survival probabilities, as well as possible applications of these results An excellent supplement to current textbooks and monographs in risk theory Contains a comprehensive list of useful references
Author : David C. M. Dickson
Publisher : Cambridge University Press
ISBN 13 : 1316839532
Total Pages : 307 pages
Book Rating : 4.3/5 (168 download)
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.
Author : Rob Kaas
Publisher : Springer Science & Business Media
ISBN 13 : 3540867368
Total Pages : 394 pages
Book Rating : 4.5/5 (48 download)
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.
Author : S?ren Asmussen
Publisher : World Scientific
ISBN 13 : 9810222939
Total Pages : 399 pages
Book Rating : 4.8/5 (12 download)
Download or read book Ruin Probabilities written by S?ren Asmussen and published by World Scientific. This book was released on 2000 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a comprehensive treatment of classical and modern ruin probability theory. Some of the topics are Lundberg's inequality, the Cramér-Lundberg approximation, exact solutions, other approximations (eg. for heavy-tailed claim size distributions), finite horizon ruin probabilities, extensions of the classical compound Poisson model to allow for reserve-dependent premiums, Markov-modulation or periodicity. Special features of the book are the emphasis on change of measure techniques, phase-type distributions as a computational vehicle and the connection to other applied probability areas like queueing theory.
Author : Narahari Umanath Prabhu
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (133 download)
Download or read book Ruin Problem of Collective Risk Theory written by Narahari Umanath Prabhu and published by . This book was released on 1971 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harald Cramér
Publisher :
ISBN 13 :
Total Pages : 87 pages
Book Rating : 4.:/5 (11 download)
Download or read book Collective risk theory written by Harald Cramér and published by . This book was released on 1955 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carl Otto Segerdahl
Publisher :
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.3/5 (91 download)
Download or read book On Homogenous Random Processes and Collective Risk Theory written by Carl Otto Segerdahl and published by . This book was released on 1939 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. Beard
Publisher : Springer Science & Business Media
ISBN 13 : 9401176809
Total Pages : 426 pages
Book Rating : 4.4/5 (11 download)
Download or read book Risk Theory written by R. Beard and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of risk already has its traditions. A review of its classical results is contained in Bohlmann (1909). This classical theory was associated with life insurance mathematics, and dealt mainly with deviations which were expected to be produced by random fluctua tions in individual policies. According to this theory, these deviations are discounted to some initial instant; the square root of the sum of the squares of the capital values calculated in this way then gives a measure for the stability of the portfolio. A theory constituted in this manner is not, however, very appropriate for practical purposes. The fact is that it does not give an answer to such questions as, for example, within what limits a company's probable gain or loss will lie during different periods. Further, non-life insurance, to which risk theory has, in fact, its most rewarding applications, was mainly outside the field of interest of the risk theorists. Thus it is quite understandable that this theory did not receive very much attention and that its applications to practical problems of insurance activity remained rather unimportant. A new phase of development began following the studies of Filip Lundberg (1909, 1919), which, thanks to H. Cramer (1926), e.O.
Author : Griselda Deelstra
Publisher : Springer Science & Business Media
ISBN 13 : 1447155688
Total Pages : 85 pages
Book Rating : 4.4/5 (471 download)
Download or read book Risk Theory and Reinsurance written by Griselda Deelstra and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reinsurance is an important production factor of non-life insurance. The efficiency and the capacity of the reinsurance market directly regulate those of insurance markets. The purpose of this book is to provide a concise introduction to risk theory, as well as to its main application procedures to reinsurance. The first part of the book covers risk theory. It presents the most prevalent model of ruin theory, as well as a discussion on insurance premium calculation principles and the mathematical tools that enable portfolios to be ordered according to their risk levels. The second part describes the institutional context of reinsurance. It first strives to clarify the legal nature of reinsurance transactions. It describes the structure of the reinsurance market and then the different legal and technical features of reinsurance contracts, known as reinsurance ‘treaties’ by practitioners. The third part creates a link between the theories presented in the first part and the practice described in the second one. Indeed, it sets out, mostly through examples, some methods for pricing and optimizing reinsurance. The authors aim is to apply the formalism presented in the first part to the institutional framework given in the second part. It is reassuring to find such a relationship between approaches seemingly abstract and solutions adopted by practitioners. Risk Theory and Reinsurance is mainly aimed at master's students in actuarial science but will also be useful for practitioners wishing to revive their knowledge of risk theory or to quickly learn about the main mechanisms of reinsurance.
Author : Carl Otto Segerdahl
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.4/5 (91 download)
Download or read book On Homogeneous Random Processes and Collective Risk Theory written by Carl Otto Segerdahl and published by . This book was released on 1939 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas Mikosch
Publisher : Springer Science & Business Media
ISBN 13 : 3540882332
Total Pages : 435 pages
Book Rating : 4.5/5 (48 download)
Download or read book Non-Life Insurance Mathematics written by Thomas Mikosch and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It gives detailed discussions of the fundamental models for claim sizes, claim arrivals, the total claim amount, and their probabilistic properties....The reader gets to know how the underlying probabilistic structures allow one to determine premiums in a portfolio or in an individual policy." --Zentralblatt für Didaktik der Mathematik
