Wybrane aspekty i zastosowania modeli zdarzeń ekstremalnych
Selected facets and application of models of extremal events

Summary/Abstract: The paper describes how to estimate extreme value index with the use of records values, and next on this base other parameters of the model distribution (e.g. stability index of α-stabile distribution with α < 2). Therefore, the main goal of this article is to compare two approaches to modeling of extreme values—one based on k-th record values, and the other based on order statistics. This idea is realised from a perspective of three arbitrarily chosen estimators: Berred’s, Hill’s, and Pickands’. Furthermore, an empirical illustration of the proposed methodology is presented.

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