In the present paper, an integer-valued version $(T_N)$ of the Kendall rank correlation coefficient is considered. Under the hypothesis of independence, a local limit theorem with the Edgeworth expansion for $T_N$ is proved and an asymptotic expansion of the distribution function of $T_N$ is derived.
@article{1176343465,
author = {Praskova-Vizkova, Zuzana},
title = {Asymptotic Expansion and a Local Limit Theorem for a Function of the Kendall Rank Correlation Coefficient},
journal = {Ann. Statist.},
volume = {4},
number = {1},
year = {1976},
pages = { 597-606},
language = {en},
url = {http://dml.mathdoc.fr/item/1176343465}
}
Praskova-Vizkova, Zuzana. Asymptotic Expansion and a Local Limit Theorem for a Function of the Kendall Rank Correlation Coefficient. Ann. Statist., Tome 4 (1976) no. 1, pp. 597-606. http://gdmltest.u-ga.fr/item/1176343465/