Download or read book Research in Collective Risk Theory written by Gerhard Arfwedson and published by . This book was released on 1955 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Download or read book A Survey of the Development of Collective Risk Theory written by Jill Elise Smith and published by . This book was released on 1993 with total page 108 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 Collective Risk Theory written by Harald Cramér and published by . This book was released on 1955 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Some Aspects of Collective Risk Theory written by and published by . This book was released on 1972 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Review of Modern Collective Risk Theory with Dividend Strategies written by Benjamin Avanzi and published by . This book was released on 2015 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his seminal paper, Bruno de Finetti (1957) laid the foundations of what would become an increasingly popular branch of risk theory: the study of dividend strategies. The recent burst of research in this field encouraged the author to carry out a systematic literature review of modern collective risk theory with dividend strategies. This paper aims at a taxonomical synthesis of the 50 years of research that followed de Finetti's original paper.
Download or read book Diffusion Approximations in Collective Risk Theory written by Stanford University. Applied Mathematics and Statistics Laboratory and published by . This book was released on 1968 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collective risk theory is concerned with the random fluctuations of the total assets of an insurance company. The company has an initial capital u and policyholders pay a gross risk premium of a per unit time. At the jumps of a renewal process claims are made against the company for random amounts with the average claim being mu. A sequence of risk reserve processes which measure the companies assets at time t are defined and the theory of weak convergence of probability measures on function spaces is applied to show that the sequence converges weakly to a limiting diffusion process. This diffusion is Brownian motion with a drift. Weak convergence theory also yields a limit theorem for the distribution of time to ruin. The density for this limit distribution is given explicitly. (Author).
Download or read book Collective Risk Theory written by Harald Cramér and published by . This book was released on 1955 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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
Download or read book Self similar Processes in Collective Risk Theory written by Zbigniew Michna and published by . This book was released on 1996 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Download or read book Essentials of Risk Theory written by Sabine Roeser and published by Springer Science & Business Media. This book was released on 2012-11-02 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Risk has become one of the main topics in fields as diverse as engineering, medicine and economics, and it is also studied by social scientists, psychologists and legal scholars. This Springer Essentials version offers an overview of the in-depth handbook and highlights some of the main points covered in the Handbook of Risk Theory. The topic of risk also leads to more fundamental questions such as: What is risk? What can decision theory contribute to the analysis of risk? What does the human perception of risk mean for society? How should we judge whether a risk is morally acceptable or not? Over the last couple of decades questions like these have attracted interest from philosophers and other scholars into risk theory. This brief offers the essentials of the handbook provides for an overview into key topics in a major new field of research and addresses a wide range of topics, ranging from decision theory, risk perception to ethics and social implications of risk. It aims to promote communication and information among all those who are interested in theoretical issues concerning risk and uncertainty. The Essentials of Risk Theory brings together internationally leading philosophers and scholars from other disciplines who work on risk theory. The contributions are accessibly written and highly relevant to issues that are studied by risk scholars. The Essentials of Risk Theory will be a helpful starting point for all risk scholars who are interested in broadening and deepening their current perspectives.
Download or read book Collective Risk Theory A Survey of the Theory from the Point of View of the Theory of Stochastic Processes written by and published by . This book was released on 1955 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Aspects of Risk Theory written by Jan Grandell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Risk theory, which deals with stochastic models of an insurance business, is a classical application of probability theory. The fundamental problem in risk theory is to investigate the ruin possibility of the risk business. Traditionally the occurrence of the claims is described by a Poisson process and the cost of the claims by a sequence of random variables. This book is a treatise of risk theory with emphasis on models where the occurrence of the claims is described by more general point processes than the Poisson process, such as renewal processes, Cox processes and general stationary point processes. In the Cox case the possibility of risk fluctuation is explicitly taken into account. The presentation is based on modern probabilistic methods rather than on analytic methods. The theory is accompanied with discussions on practical evaluation of ruin probabilities and statistical estimation. Many numerical illustrations of the results are given.
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 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Applicability of the Stable Laws in Collective Risk Theory and Practice written by A. S. Paulson and published by . This book was released on 1986 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper examines the potential applicability of the stable laws to collective risk theory and practice. The applicability is indirect: it centers on the use of a generalized central limit theorem. If partial sums of losses behave in essentially the same way as complete sums of losses then the stable laws will be useful in the collective risk setting; if partial sums of losses do not behave in essentially the same way as complete sums then the stable laws will not only not be useful in a a collective risk setting, but may also be misleading. The overall conclusion is that the stable laws generally can be useful in collective risk settings but that they cannot be used universally and non-discriminantly. Keywords: Algorithm; Case studies; Parametric distribution.
