Abstract
Critchlow (1992, J. Statist. Plann. Inference, 32, 325–346) proposed a method of a unified construction of a class of rank tests. In this paper, we introduce a convex sum distance and prove the limiting normality of the test statistics for the two-sample problem derived by his method.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Critchlow, D. E. (1985). Metric methods for analyzing partially ranked data. Lecture Notes in Statist., 34, Springer, New York.
Critchlow, D. E. (1992) On rank statistics: an approach via metrics on the permutation group, J. Statist. Plann. Inference 32, 325–346.
Fueda, K. (1993). Spearman's rank correlation type two-sample test. Mem. Fac. Sci. Kyushu Univ. Ser. A, 47(1), 27–39.
Puri, M. L. and Sen, P. K. (1971). Nonparametric Methods in Multivariate Analysis, Wiley, New York.
Author information
Authors and Affiliations
About this article
Cite this article
Fueda, K. The limiting normality of the test statistic for the two-sample problem induced by a convex sum distance. Ann Inst Stat Math 48, 337–347 (1996). https://doi.org/10.1007/BF00054794
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00054794