Asymptotic Normality of a Class of Nonparametric Statistics
证明了一类统计量的渐近正态性,这类统计量包括加权和、线性秩统计量、顺序统计量函数等,统一并推广了多个已知结果。
Asymptotic normality is established for a class of statistics which includes as special cases weighted sum of independent and identically distributed (i.i.d.) random variables, unsigned linear rank statistics, signed rank statistics, linear combination of functions of order statistics, and linear function of concomitants of order statistics. The results obtained unify as well as extend a number of known results.