In this paper we investigate the Burr distributions Family which contains twelve members. Second order expansions of quantiles of the Burr's distributions are provided on which may be based statistical methods, in particular in extreme value theory. Beyond the proper interest of these expansions, we apply them to characterize the asymptotic laws of their records of Burr's distributions, lead to new statistical tests.
翻译:在本文中,我们调查Burr分布式家庭,该家庭有12名成员。提供了Burr分布式家庭的第二批扩大数量,可以据此制定统计方法,特别是极端价值理论。除了这些扩张的适当利益外,我们运用它们来描述Burr分布式记录中的无保护法,导致新的统计测试。