Ebook: Laws of small numbers: extremes and rare events

The IID case, functional laws of small numbers -- Functional laws of small numbers -- Extreme value theory -- Estimation of conditional curves -- The IID case, multivariate extremes -- Basic theory of multivariate extremes -- Multivariate generalized pareto distributions -- The pickands approach in the Bivariate case -- Multivariate extremes, supplementary concepts and results -- Non-IID observations -- Introduction to the non-IID case -- Extremes of random sequences -- Extremes of Gaussian processes -- Extensions for rare events -- Statistics of extremes.