JOINT OCCURRENCE RATE OF PRECIPITATIONS BY BIVARIATE GP DISTRIBUTION - MATHEMATICAL IDEAAND ITS CONNECTION TO ACTUAL DATA

Joint occurrence of natural hazards, that an extreme event of natural foece contemporaneous with other events, should become taken into account as our civilization has matured. Recent extreme value theory has introduced a bivariate generalized Pareto (GP) distribution for extremes. However it is hard to say that the original mathematical papers well explained how useful it is in contradistinction to the conventional treatment of censoring a bivariate extreme value distribution of componentwise block maxima. Thus there are few applications reported until now, though it is feasible and flexible to actual situations. This study examines the mathematical constitution and the connections in viewpoint of the flood problems.