Bootstrapping convex hulls

摘要: Abstract If the distribution of observations satisfies a multivariate regular variation condition then asymptotic convex hulls can be modeled by using point processes. The limiting distributions cannot simplified and are extremely difficult to use. We show bootstrap is asymptotically valid if resampling sample size m=o(n), where n original size. use this also provide an for area perimeter hulls. Also, under circularly symmetric alternative consistent Monte Carlo method studied.