ACCORDANCE OF COMPONENTWISE MAXIMA IN MULTIVARIATE SEA EXTREME EVENTS

Abstract

 Superimposed hazards by storm surge, height waves and flood in the coastal area have possibilities of accumulating the damage further than expected. The same is true for simultaneous disaster in the neighboring towns due to a single enormous meteorological disturbance. Recently several definitions of return period for combinatorial occurrence of multivariate extremes are suggested by using the copula of multivariate statistics, but those seem to be very complicated for us to make plans for flood prevention and reduction. This study propose a new simple index, as named by accordance, for joint occurrence of multivariate extreme events, and the statistical simulation, whose procedure is developed newly and adjusted for this purpose, are conducted to reveal the properties of correlations and accordance by employing an asymmetric family of bivariate extremes.