Conditional Limits of Wp scale Mixture Distributions
Abstract
In this paper we introduce the class of Wp scale mixture random vectors with a particular radial decomposition and a independent splitting property specified by some random variable Wp, and a positive constant p. We derive several conditional limit results assuming that the distribution of the random radius is in the max-domain of attraction of a univariate extreme value distribution and Wp has a certain tail asymptotic behaviour. As an application we obtain the joint asymptotic distribution of concomitants of order statics considering certain bivariate Wp scale miture samples.
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