Yuzhen Zhou

Post date: Aug 30, 2013 6:15:55 PM

Proposed Paper:

A Survey of Spatial Extremes: Measuring Spatial Dependence And Modeling Spatial Effects

by Daniel Cooley, Jessi Cisewski, Robert J. Erhardt, Soyoung Jeon, Elizabeth Mannshardt, Bernard Oguna Omolo and Ying Sun

Abstract:

We survey the current practice of analyzing spatial extreme data, which lies at the intersection of extreme value theory and geostatistics. Characterizations of multivariate max-stable distributions typically assume specific univariate marginal distributions, and their statistical applications generally require capturing the tail behavior of the margins and describing the tail dependence among the components. We review current methodology for spatial extremes analysis, discuss the extension of the finite dimensional extremes framework to spatial processes, review spatial dependence metrics for extremes, survey current modeling practice for the task of modeling marginal distributions, and then examine max-stable process models and copula approaches for modeling residual spatial dependence after accounting for marginal effects.

Key-Words: copula; extremal coefficient; hierarchical model; madogram; max-stable process; multi-variate extreme value distribution.