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Article: Asymptotic properties of Pearson׳s rank-variate correlation coefficient in bivariate normal model

TitleAsymptotic properties of Pearson׳s rank-variate correlation coefficient in bivariate normal model
Authors
Issue Date2016
Citation
Signal Processing, 2016, v. 119, p. 190-202 How to Cite?
AbstractThis paper establishes the asymptotic closed forms of the expectation and variance of the Pearson׳s rank-variate correlation coefficient (PRVCC) with respect to samples drawn from bivariate normal populations. The variance-stability features of Fisher׳s z-transform on PRVCC is also investigated under normal assumptions. To gain deeper insight into PRVCC, we further compare PRVCC to other two closely related correlation coefficients, namely, Pearson׳s product moment correlation coefficient (PPMCC) and Gini correlation (GC). Theoretical and simulation results reveal the advantages of PRVCC over PPMCC and/or GC in terms of mathematical tractability and smaller mean square error (MSE) under different circumstances. The newly found theoretical results along with other desirable properties enable PRVCC to be a useful alternative to the existing coefficients, especially when the samples follow distributions whose tails are heavier than that of normal distribution.
Persistent Identifierhttp://hdl.handle.net/10722/229186
ISSN
2015 Impact Factor: 2.063
2015 SCImago Journal Rankings: 1.119

 

DC FieldValueLanguage
dc.contributor.authorXu, W-
dc.contributor.authorMa, R-
dc.contributor.authorZhou, Y-
dc.contributor.authorPeng, S-
dc.contributor.authorHou, Y-
dc.date.accessioned2016-08-23T14:09:32Z-
dc.date.available2016-08-23T14:09:32Z-
dc.date.issued2016-
dc.identifier.citationSignal Processing, 2016, v. 119, p. 190-202-
dc.identifier.issn0165-1684-
dc.identifier.urihttp://hdl.handle.net/10722/229186-
dc.description.abstractThis paper establishes the asymptotic closed forms of the expectation and variance of the Pearson׳s rank-variate correlation coefficient (PRVCC) with respect to samples drawn from bivariate normal populations. The variance-stability features of Fisher׳s z-transform on PRVCC is also investigated under normal assumptions. To gain deeper insight into PRVCC, we further compare PRVCC to other two closely related correlation coefficients, namely, Pearson׳s product moment correlation coefficient (PPMCC) and Gini correlation (GC). Theoretical and simulation results reveal the advantages of PRVCC over PPMCC and/or GC in terms of mathematical tractability and smaller mean square error (MSE) under different circumstances. The newly found theoretical results along with other desirable properties enable PRVCC to be a useful alternative to the existing coefficients, especially when the samples follow distributions whose tails are heavier than that of normal distribution.-
dc.languageeng-
dc.relation.ispartofSignal Processing-
dc.titleAsymptotic properties of Pearson׳s rank-variate correlation coefficient in bivariate normal model-
dc.typeArticle-
dc.identifier.emailHou, Y: yhhou@hku.hk-
dc.identifier.authorityHou, Y=rp00069-
dc.identifier.doi10.1016/j.sigpro.2015.08.010-
dc.identifier.hkuros260915-
dc.identifier.volume119-
dc.identifier.spage190-
dc.identifier.epage202-

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