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Digitisation and tertiarisation have made it difficult to categorise activities as private or work-related. The two notions that have traditionally been used to make that distinction – i.e. place of work and working time – are losing their importance. An increasing number of employees are subject to the phenomenon of blurred boundaries: They set their own hours, work from home or on-the-go. German Social Accident Insurance, however, determines the question of coverage on the allocation of the accident to either the work sphere or the private sphere of the aggrieved party.The book explores the extent to which it is necessary to modernise the way risks are allocated in order to not discriminate against those who have jobs outside of traditional parameters and discusses whether it is still adequate to base allocation mechanisms on the principles of the employers’ business risk and duties of care. By way of extensive dogmatic analysis and a comparison with other systems of risk allocation, the study proposes a modern take on allocating risks with just results for both employers and employees from all fields of work.
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Developing techniques for assessing various risks and calculating probabilities of ruin and survival are exciting topics for mathematically-inclined academics. For practicing actuaries and financial engineers, the resulting insights have provided enormous opportunities but also created serious challenges to overcome, thus facilitating closer cooperation between industries and academic institutions. In this book, several renown researchers with extensive interdisciplinary research experiences share their thoughts that, in one way or another, contribute to the betterment of practice and theory of decision making under uncertainty. Behavioral, cultural, mathematical, and statistical aspects of risk assessment and modelling have been explored, and have been often illustrated using real and simulated data. Topics range from financial and insurance risks to security-type risks, from one-dimensional to multi- and even infinite-dimensional risks.
aggregate discounted claims --- Markovian arrival process --- partial integro-differential equation --- covariance --- multivariate gamma distribution --- multiplicative background risk model --- aggregate risk --- individual risk model --- collective risk model --- risk measure --- cumulative Parisian ruin --- stochastic orders --- surplus process --- renewal process --- discounted aggregate claims --- copulas --- archimedean copulas --- background risk --- systematic risk --- transfer function --- information processing --- order statistic --- concomitant --- ruin probability --- dual risk model --- constant interest rate --- integral equation --- Laplace transform --- numerical approximation --- maximal tail dependence --- clustering --- financial time series --- weighted cuts --- copula --- national culture --- survival analysis --- hazard model --- rating migrations --- advanced measurement approach --- confidence interval --- Monte Carlo --- operational risk --- value-at-risk --- central limit theorem --- insurance --- max-stable random fields --- rate of spatial diversification --- reinsurance --- risk management --- risk theory --- spatial dependence --- spatial risk measures and corresponding axiomatic approach --- n/a
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