Calculating the extremal index for a class of stationary sequences
Michael Ross Chernick, Tailen Hsing, William P. McCormick · Advances in Applied Probability · 1991
A local mixing conditionD(k)is introduced for stationary sequences satisfying Leadbetter's conditionD.Under the local mixing condition, the asymptotic distribution of the sample maximum can be calculated with the knowledge of the joint distribution ofkconsecutive terms. Some examples are given to illustrate the notion.