Ojo, M., Gbadamosi, B. (2011). On generalized order statistics and maximal correlation as a measure of dependence. test, 19(1), 28-32. doi: 10.1016/j.joems.2011.09.011
Mayowa M. Ojo; B. Gbadamosi. "On generalized order statistics and maximal correlation as a measure of dependence". test, 19, 1, 2011, 28-32. doi: 10.1016/j.joems.2011.09.011
Ojo, M., Gbadamosi, B. (2011). 'On generalized order statistics and maximal correlation as a measure of dependence', test, 19(1), pp. 28-32. doi: 10.1016/j.joems.2011.09.011
Ojo, M., Gbadamosi, B. On generalized order statistics and maximal correlation as a measure of dependence. test, 2011; 19(1): 28-32. doi: 10.1016/j.joems.2011.09.011

On generalized order statistics and maximal correlation as a measure of dependence

Journal of the Egyptian Mathematical Society
Volume 19, Issue 1, June 2011, Pages 28-32    PDF (367.81 K)
DOI: 10.1016/j.joems.2011.09.011
Authors
Mayowa M. Ojo* 1; B. Gbadamosi2
1Department of Ecology and Evolutionary Biology, University of Kansas, Lawrence, USA.
2Department of Computer Sciences, Landmark University, Omu-Aran, Kwara State, Nigeria.
Abstract
In the first part of this review article some recent developments of maximal correlation coefficient, introduced by Gebelein (1941) [7], and its applications in various areas of statistics are discussed. The second part is devoted to find the distributions providing the maximal correlation coefficient between generalized order statistics (gos) and dual generalized order statistics (dgos), which are introduced by Kamps (1995) [8] and Burkschat et al. (2003) [4], respectively. Finally, in the third part, general theorems are presented, which give simple non-parametric criterion forthe asymptotic independence between the different elements of gos, as well as dgos.
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