Then in an extensive second chapter all the mathematical tools needed to. Stochastic claims reserving methods in nonlife insurance. A nonlife insurance policy is a contract among two parties, the insurer and the insured. We can merge neighbouring areas but they may have different risk characteristics motivation. After having introduced the classical buhlmannstraub model for a mlf, we. Haavardsson, university of oslo and dnb skadeforsikring. It is related to the probability density function p. Erwin straub nonlife insurance mathematics erwin straub the book gives a comprehensive overview of modern nonlife actuarial science. Thomas mikoschnonlife insurance mathematics an introduction with the poisson process second editionabc thomas mi. The topics include cashflow models of the nonlife insurance company, principles of calculating premiums and indemnities, risk models, reinsurance models and basis of the technical reserves of an insurance company. Nonlife insurance mathematics an introduction with the poisson. Nonlife insurance pricing with generalized linear models. This kind of variables are studied in the branch of insurance mathematics.
Claims reserving and other topics in nonlife in surance mathematics. Nonlife insurance mathematics an introduction with stochastic. The volume offers a mathematical introduction to nonlife insurance and, at the same time, to a multitude of applied stochastic processes. Nonlife insurance mathematics erwin straub springer. The book gives a comprehensive overview of modern nonlife actuarial science. Life insurance includes for instance life insurance contracts and pensions, where long terms are covered. Being a good mixture of practical problems and their actuarial solutions, the book addresses above all two types of readers. Mathematics and statistics exercise sheet 1 exercise 1. Erwin straub nonlife insurance mathematics springer swiss association of actuaries zurich. It is possible to combine both life insurance benefits and life annuity benefits in the same contract. Stochastic claims reserving under consideration of.
The book gives a comprehensive overview of modern non life actuarial science. The present lecture notes cover the lecture nonlife insurance. Credibility theory buhlmann straub chapter 10 eb 1 reinsurance chapter 10 eb 1 solvency chapter 10 eb 1 repetition 1 done done done. Request pdf on jan 1, 2010, esbjorn ohlsson and others published nonlife. The book offers a mathematical introduction to nonlife insurance and, at the same time, to a multitude of applied stochastic processes. Nonlife insurance mathematics jyvaskylan yliopisto. Nonlife insurance comprises insurances against re, water damage, earthquake, industrial catastrophes or car insurance, for example. In this section we present a mathematical framework for claims reserving. The insurance risk in the sst and in solvency ii international. In nonlife insurance pricing we determine how one or more key ratios y vary with a. It includes detailed discussions of the fundamental models regarding claim sizes, claim arrivals, the total claim amount, and their probabilistic properties. Then in an extensive second chapter all the mathematical tools needed to solve these problems are dealt with now in mathematical notation. The course gives an overview of the basis of nonlife insurance mathematics. This lecture is a merger of the two lectures nichtleben versicherungs mathematik and risk.