Serial and nonserial sign-and-rank statistics: Asymptotic representation and asymptotic normality
序列与非序列符号—秩统计量：渐近表示与渐近正态性
The classical theory of rank-based inference is entirely based either on ordinary ranks, which do not allow for considering location (intercept) parameters, or on signed ranks, which require an assumption of symmetry. If the median, in the absence of a symmetry assumption, is considered as a location parameter, the maximal invariance property of ordinary ranks is lost to the ranks and the signs. This new maximal invariant thus suggests a new class of statistics, based on…