Asymptotic Normality of a Class of Nonparametric Statistics

Munsup Seoh and Madan L. Puri

Econometric Theory, 1987, vol. 3, issue 03, pages 313-347

Abstract: 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.

Date: 1987

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