Title
Asymptotic Mean and Variance of Gini Correlation Under Contaminated Gaussian Model.
Abstract
This paper establishes the asymptotic closed forms of the expectation and variance of the Gini correlation (GC) under a particular type of bivariate contaminated Gaussian model emulating a frequently encountered scenario in statistical signal processing. Monte Carlo simulation results verify the correctness of the theoretical results established in this paper. In order to gain further insight into GC, we also compare GC to Pearson's product moment correlation coefficient, Kendall's tau, and Spearman's rho by means of root mean squared error. The newly explored theoretical and simulational findings not only deepen the understanding of the rather new GC, but also shed new light on the topic of correlation theory, which is widely applied in statistical signal processing.
Year
DOI
Venue
2016
10.1109/ACCESS.2016.2622358
IEEE ACCESS
Keywords
Field
DocType
Contaminated Gaussian model (CGM),correlation coefficient,Gini correlation (GC),Pearson's product moment correlation coefficient (PPMCC)
Partial correlation,Pearson product-moment correlation coefficient,Interclass correlation,Mean squared error,Correlation ratio,Distance correlation,Fisher transformation,Statistics,Spearman's rank correlation coefficient,Mathematics
Journal
Volume
ISSN
Citations 
4
2169-3536
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Rubao Ma111.06
Weichao Xu211.39
Shun Liu302.03
Yun Zhang401.01
Jianbin Xiong5578.71