The limiting behaviour of sums and maximums of iid random variables from the viewpoint of different observers

Autor

  • Tomasz K. Krajka
  • Zdzisław Rychlik

Słowa kluczowe:

Central limit theorem, extreme value theory, observed and unobserved random variables

Abstrakt

The limiting behaviour of observed and all random variables in the max limit schema was considered by Mladenovi´c and Piterbarg 2006 and Krajka 2011. Here those results are generalised in two directions:
• we allow more than one observer and one superobserver;
• we consider the max limit schema as well as the sum limit schema.

Pobrania

Opublikowane

2014-11-04

Numer

Dział

Artykuły [1035]