PP平均绝对离差及其渐近性质

THE PP MEAN ABSOLUTE DEVIATIONS AND ITS ASYMPTOTIC PROPERTIES

对两类较稳健的PP平均绝对离差M_1(a),M_2(a),(a∈S^(p-1))进行了讨论,获得了它们的渐近表示式,并由此得到M_1(a),M_2(a)关于a一致地渐近分布为高斯过程的上界.

Two kinds of robust PP mean absolute deviations M_1(a),M_2(a),(a∈ S^(p-1))and their asymptotic expressions are obtained,furthemore,the asymptotic distributions of M_1(a) and M_2(a) uniform for a∈S^(p-1) are derived which are supremums of the Gauss processes on S^(p-1).