×

zbMATH — the first resource for mathematics

Asymptotic normality of a class of nonlinear rank tests for independence. (English) Zbl 0539.62024
Summary: Asymptotic normality of a class of nonlinear rank statistics to test the null hypothesis of total independence of an m-variate population is proved. The rank statistics are generated from 2m-variate square integrable functions such that they are symmetric and nondegenerate. Some results under contiguous alternatives are also given.

MSC:
62E20 Asymptotic distribution theory in statistics
62G10 Nonparametric hypothesis testing
PDF BibTeX XML Cite
Full Text: DOI