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Volumn 119, Issue , 2016, Pages 190-202

Asymptotic properties of Pearson's rank-variate correlation coefficient in bivariate normal model

Author keywords

Bivariate normal; Daniels's generalized correlation coefficient; Fisher's z transform; Gini correlation (GC); Pearson's product moment correlation coefficient (PPMCC); Pearson's rank variate correlation coefficient (PRVCC)

Indexed keywords

NORMAL DISTRIBUTION; Z TRANSFORMS;

EID: 84941128689     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2015.08.010     Document Type: Article
Times cited : (24)

References (42)
  • 2
    • 84866355419 scopus 로고    scopus 로고
    • Jacobi iterations for canonical dependence analysis
    • R. Phlypo Jacobi iterations for canonical dependence analysis Signal Process. 93 1 2013 185 197
    • (2013) Signal Process. , vol.93 , Issue.1 , pp. 185-197
    • Phlypo, R.1
  • 3
    • 0034302007 scopus 로고    scopus 로고
    • Coefficient of determination in nonlinear signal processing
    • E. Dougherty, S. Kim, and Y. Chen Coefficient of determination in nonlinear signal processing Signal Process. 80 10 2000 2219 2235
    • (2000) Signal Process. , vol.80 , Issue.10 , pp. 2219-2235
    • Dougherty, E.1    Kim, S.2    Chen, Y.3
  • 4
    • 0031221735 scopus 로고    scopus 로고
    • Cfar detection for two correlated targets
    • M. Barkat, and S. Dib Cfar detection for two correlated targets Signal Process. 61 3 1997 289 295
    • (1997) Signal Process. , vol.61 , Issue.3 , pp. 289-295
    • Barkat, M.1    Dib, S.2
  • 5
    • 70349298349 scopus 로고    scopus 로고
    • A simple method to quantify the morphological similarity between signals
    • J. Lian, G. Garner, D. Muessig, and V. Lang A simple method to quantify the morphological similarity between signals Signal Process. 90 2 2010 684 688
    • (2010) Signal Process. , vol.90 , Issue.2 , pp. 684-688
    • Lian, J.1    Garner, G.2    Muessig, D.3    Lang, V.4
  • 6
    • 77955280364 scopus 로고    scopus 로고
    • Analytical formulation of the fractal dimension of filtered stochastic signals
    • J. Girault, D. Kouamé, and A. Ouahabi Analytical formulation of the fractal dimension of filtered stochastic signals Signal Process. 90 9 2010 2690 2697
    • (2010) Signal Process. , vol.90 , Issue.9 , pp. 2690-2697
    • Girault, J.1    Kouamé, D.2    Ouahabi, A.3
  • 7
    • 67651124813 scopus 로고    scopus 로고
    • Asymptotic distribution of circularity coefficients estimate of complex random variables
    • J. Delmas, and H. Abeida Asymptotic distribution of circularity coefficients estimate of complex random variables Signal Process. 89 12 2009 2670 2675
    • (2009) Signal Process. , vol.89 , Issue.12 , pp. 2670-2675
    • Delmas, J.1    Abeida, H.2
  • 8
    • 80052293466 scopus 로고    scopus 로고
    • Multi-stage image denoising based on correlation coefficient matching and sparse dictionary pruning
    • Y. He, T. Gan, W. Chen, and H. Wang Multi-stage image denoising based on correlation coefficient matching and sparse dictionary pruning Signal Process. 92 1 2012 139 149
    • (2012) Signal Process. , vol.92 , Issue.1 , pp. 139-149
    • He, Y.1    Gan, T.2    Chen, W.3    Wang, H.4
  • 9
    • 77956178690 scopus 로고    scopus 로고
    • Target spatial and frequency scattering diversity property for diversity MIMO radar
    • S. Zhou, H. Liu, Y. Zhao, and L. Hu Target spatial and frequency scattering diversity property for diversity mimo radar Signal Process. 91 2 2011 269 276
    • (2011) Signal Process. , vol.91 , Issue.2 , pp. 269-276
    • Zhou, S.1    Liu, H.2    Zhao, Y.3    Hu, L.4
  • 11
    • 36749048141 scopus 로고    scopus 로고
    • Order statistics correlation coefficient as a novel association measurement with applications to biosignal analysis
    • W. Xu, C. Chang, Y.S. Hung, S.K. Kwan, and P.C.W. Fung Order statistics correlation coefficient as a novel association measurement with applications to biosignal analysis IEEE Trans. Signal Process. 55 12 2007 5552 5563
    • (2007) IEEE Trans. Signal Process. , vol.55 , Issue.12 , pp. 5552-5563
    • Xu, W.1    Chang, C.2    Hung, Y.S.3    Kwan, S.K.4    Fung, P.C.W.5
  • 12
    • 44849127226 scopus 로고    scopus 로고
    • Asymptotic properties of order statistics correlation coefficient in the normal cases
    • W. Xu, C. Chang, Y.S. Hung, and P.C.W. Fung Asymptotic properties of order statistics correlation coefficient in the normal cases IEEE Trans. Signal Process. 56 6 2008 2239 2248
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.6 , pp. 2239-2248
    • Xu, W.1    Chang, C.2    Hung, Y.S.3    Fung, P.C.W.4
  • 13
    • 74949103910 scopus 로고    scopus 로고
    • Asymptotic mean and variance of Gini correlation for bivariate normal samples
    • W. Xu, Y.S. Hung, M. Niranjan, and M. Shen Asymptotic mean and variance of Gini correlation for bivariate normal samples IEEE Trans. Signal Process. 58 2 2010 522 534
    • (2010) IEEE Trans. Signal Process. , vol.58 , Issue.2 , pp. 522-534
    • Xu, W.1    Hung, Y.S.2    Niranjan, M.3    Shen, M.4
  • 14
    • 84866366375 scopus 로고    scopus 로고
    • A comparative analysis of Spearman's rho and Kendall's tau in normal and contaminated normal models
    • W. Xu, Y. Hou, Y.S. Hung, and Y. Zou A comparative analysis of Spearman's rho and Kendall's tau in normal and contaminated normal models Signal Process. 93 2013 261 276
    • (2013) Signal Process. , vol.93 , pp. 261-276
    • Xu, W.1    Hou, Y.2    Hung, Y.S.3    Zou, Y.4
  • 16
    • 0002532939 scopus 로고
    • On the 'probable error' of a coefficient of correlation deduced from a small sample
    • R.A. Fisher On the 'probable error' of a coefficient of correlation deduced from a small sample Metron 1 1921 3 32
    • (1921) Metron , vol.1 , pp. 3-32
    • Fisher, R.A.1
  • 19
    • 0001553330 scopus 로고
    • The relation between measures of correlation in the universe of sample permutations
    • H.E. Daniels The relation between measures of correlation in the universe of sample permutations Biometrika 33 2 1944 129 135
    • (1944) Biometrika , vol.33 , Issue.2 , pp. 129-135
    • Daniels, H.E.1
  • 20
    • 84963386897 scopus 로고
    • A measure of association base on Gini's mean difference
    • E. Schechtman, and S. Yitzhaki A measure of association base on Gini's mean difference Commun. Stat.-Theory Methods 16 1 1987 207 231
    • (1987) Commun. Stat.-Theory Methods , vol.16 , Issue.1 , pp. 207-231
    • Schechtman, E.1    Yitzhaki, S.2
  • 22
    • 84937350406 scopus 로고
    • Consideration of nonlinear noise and its testing in frequency division multiplex voice uhf radio communication systems
    • L. Yeh Consideration of nonlinear noise and its testing in frequency division multiplex voice uhf radio communication systems IRE Trans. Commun. Syst. 9 2 1961 115 129
    • (1961) IRE Trans. Commun. Syst. , vol.9 , Issue.2 , pp. 115-129
    • Yeh, L.1
  • 23
    • 0029407210 scopus 로고
    • Detection of random signals in Gaussian mixture noise
    • D. Stein Detection of random signals in Gaussian mixture noise IEEE Trans. Inf. Theory 41 6 1995 1788 1801
    • (1995) IEEE Trans. Inf. Theory , vol.41 , Issue.6 , pp. 1788-1801
    • Stein, D.1
  • 24
    • 0036495808 scopus 로고    scopus 로고
    • Joint source-channel coding of a Gaussian mixture source over the Gaussian broadcast channel
    • Z. Reznic, R. Zamir, and M. Feder Joint source-channel coding of a gaussian mixture source over the gaussian broadcast channel IEEE Trans. Inf. Theory 48 3 2002 776 781
    • (2002) IEEE Trans. Inf. Theory , vol.48 , Issue.3 , pp. 776-781
    • Reznic, Z.1    Zamir, R.2    Feder, M.3
  • 25
    • 0034269446 scopus 로고    scopus 로고
    • Adaptive joint detection and decoding in flat-fading channels via mixture Kalman filtering
    • R. Chen, X. Wang, and J. Liu Adaptive joint detection and decoding in flat-fading channels via mixture Kalman filtering IEEE Trans. Inf. Theory 46 6 2000 2079 2094
    • (2000) IEEE Trans. Inf. Theory , vol.46 , Issue.6 , pp. 2079-2094
    • Chen, R.1    Wang, X.2    Liu, J.3
  • 27
    • 52349083802 scopus 로고
    • Rank permutation group codes based on Kendall's correlation statistic
    • H. Chadwick, and L. Kurz Rank permutation group codes based on Kendall's correlation statistic IEEE Trans. Inf. Theory 15 2 1969 306 315
    • (1969) IEEE Trans. Inf. Theory , vol.15 , Issue.2 , pp. 306-315
    • Chadwick, H.1    Kurz, L.2
  • 28
    • 0030151232 scopus 로고    scopus 로고
    • Locally optimum distributed detection of correlated random signals based on ranks
    • R.S. Blum Locally optimum distributed detection of correlated random signals based on ranks IEEE Trans. Inf. Theory 42 3 1996 931 942
    • (1996) IEEE Trans. Inf. Theory , vol.42 , Issue.3 , pp. 931-942
    • Blum, R.S.1
  • 30
    • 78149247759 scopus 로고
    • On an extension of the method of correlation by grades or ranks
    • K. Pearson On an extension of the method of correlation by grades or ranks Biometrika 10 2/3 1914 416 418
    • (1914) Biometrika , vol.10 , Issue.23 , pp. 416-418
    • Pearson, K.1
  • 32
    • 0004272666 scopus 로고    scopus 로고
    • Cambridge University Press Cambridge, UK; New York, NY
    • A.W. Vaart Asymptotic Statistics 1998 Cambridge University Press Cambridge, UK; New York, NY
    • (1998) Asymptotic Statistics
    • Vaart, A.W.1
  • 36
    • 0001744704 scopus 로고
    • A class of statistics with asymptotically normal distribution
    • W. Hoeffding A class of statistics with asymptotically normal distribution Ann. Math. Stat. 19 3 1948 293 325
    • (1948) Ann. Math. Stat. , vol.19 , Issue.3 , pp. 293-325
    • Hoeffding, W.1
  • 38
    • 0005192910 scopus 로고
    • Rank correlation and product-moment correlation
    • P.A.P. Moran Rank correlation and product-moment correlation Biometrika 35 1/2 1948 203 206
    • (1948) Biometrika , vol.35 , Issue.12 , pp. 203-206
    • Moran, P.A.P.1
  • 39
    • 0000506838 scopus 로고
    • Test for rank correlation coefficients
    • E. Fieller, H. Hartley, and E. Pearson Test for rank correlation coefficients Biometrika 44 1957 470 481
    • (1957) Biometrika , vol.44 , pp. 470-481
    • Fieller, E.1    Hartley, H.2    Pearson, E.3
  • 41
    • 0014093658 scopus 로고
    • Reduction of the multivariate normal integral to characteristic form
    • D. Childs Reduction of the multivariate normal integral to characteristic form Biometrika 54 1-2 1967 293 300
    • (1967) Biometrika , vol.54 , Issue.1-2 , pp. 293-300
    • Childs, D.1
  • 42
    • 84911488223 scopus 로고    scopus 로고
    • Asymptotic properties of Pearson's rank-variate correlation coefficient under contaminated Gaussian model
    • R. Ma, W. Xu, Y. Zhang, and Z. Ye Asymptotic properties of Pearson's rank-variate correlation coefficient under contaminated gaussian model PLoS One 9 11 2014 e112215 10.1371/journal.pone.0112215
    • (2014) PLoS One , vol.9 , Issue.11 , pp. e112215
    • Ma, R.1    Xu, W.2    Zhang, Y.3    Ye, Z.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.