Mathematical Reviews


Book Description







Statistics of Extremes


Book Description

Research in the statistical analysis of extreme values has flourished over the past decade: new probability models, inference and data analysis techniques have been introduced; and new application areas have been explored. Statistics of Extremes comprehensively covers a wide range of models and application areas, including risk and insurance: a major area of interest and relevance to extreme value theory. Case studies are introduced providing a good balance of theory and application of each model discussed, incorporating many illustrated examples and plots of data. The last part of the book covers some interesting advanced topics, including time series, regression, multivariate and Bayesian modelling of extremes, the use of which has huge potential.







Tail Risk of Hedge Funds


Book Description




Proceedings of the First International Conference on Teaching Statistics, University of Sheffield, 9-13 August 1982


Book Description

The second volume of these conference proceedings includes 35 papers presented under seven topic headings. The topic headings are: (1) education and training in statistics in developing countries; (2) co-operation between academic and practicing statisticians; (3) teaching survey sampling; (4) teaching design and analysis of experiments; (5) training industrial practitioners; (6) principles of learning probability and statistics (including papers examining children's choice behavior in probabilistic situations, a survey of probability concepts in 3000 students aged 11-16 years, teaching probability and statistics so as to overcome some misconceptions, and the role of explanation in teaching elementary probability); and (7) the teaching of agricultural statistics (which includes a single paper on training of personnel for agricultural statistics in Jordan). Like the papers in the first volume, these papers provide a summary of the situation in statistical education around the world and point the way to future developments. (JN)




Extreme Values, Regular Variation and Point Processes


Book Description

This book examines the fundamental mathematical and stochastic process techniques needed to study the behavior of extreme values of phenomena based on independent and identically distributed random variables and vectors. It emphasizes the core primacy of three topics necessary for understanding extremes: the analytical theory of regularly varying functions; the probabilistic theory of point processes and random measures; and the link to asymptotic distribution approximations provided by the theory of weak convergence of probability measures in metric spaces.




Quantitative Risk Management


Book Description

This book provides the most comprehensive treatment of the theoretical concepts and modelling techniques of quantitative risk management. Whether you are a financial risk analyst, actuary, regulator or student of quantitative finance, Quantitative Risk Management gives you the practical tools you need to solve real-world problems. Describing the latest advances in the field, Quantitative Risk Management covers the methods for market, credit and operational risk modelling. It places standard industry approaches on a more formal footing and explores key concepts such as loss distributions, risk measures and risk aggregation and allocation principles. The book's methodology draws on diverse quantitative disciplines, from mathematical finance and statistics to econometrics and actuarial mathematics. A primary theme throughout is the need to satisfactorily address extreme outcomes and the dependence of key risk drivers. Proven in the classroom, the book also covers advanced topics like credit derivatives. Fully revised and expanded to reflect developments in the field since the financial crisis Features shorter chapters to facilitate teaching and learning Provides enhanced coverage of Solvency II and insurance risk management and extended treatment of credit risk, including counterparty credit risk and CDO pricing Includes a new chapter on market risk and new material on risk measures and risk aggregation