Abstract
Let X denote a sample from a multivariate Generalized Extreme Value – GEV( θ) – model. In this paper asymptotic properties of Gumbel type statistics – which properly balance both the upper and lower tail – are derived and asymptotic properties of such statistics for testing H 0: θ = 0 in the multivariate GEV( θ) model are obtained. A likelihood ratio test for H 0: θ = 0 is also developed. A suitable algorithm for obtaining the maximum likelihood estimates of the unknown parameters is implemented. Comparison of tests is made through simulation methods.
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