메뉴 건너뛰기




Volumn 11, Issue , 2010, Pages 1391-1423

Consistent nonparametric tests of independence

Author keywords

Distribution free consistent test; Hypothesis test; Independence; Kernel methods; L1; Log likelihood

Indexed keywords

BENCHMARK DATA; DISTRIBUTION-FREE; EMPIRICAL DISTRIBUTIONS; HYPOTHESIS TESTS; INDEPENDENCE MEASURE; KERNEL METHODS; LARGE DEVIATIONS; LIMITING DISTRIBUTIONS; LOG LIKELIHOOD; NON-PARAMETRIC TEST; NULL HYPOTHESIS; RANDOM SAMPLE; SAMPLE SIZES; TYPE II ERROR; TYPE-I ERROR; ZERO VALUES;

EID: 77951966792     PISSN: 15324435     EISSN: 15337928     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (116)

References (47)
  • 3
    • 0000998802 scopus 로고
    • Uniformly powerful goodness of attests
    • A.R.Barron. Uniformly powerful goodness of Attests. The Annals of Statistics, 17:107-124,1989.
    • (1989) The Annals of Statistics , vol.17 , pp. 107-124
    • Barron, A.R.1
  • 4
    • 0026914305 scopus 로고
    • Distribution estimation consistent in total variation and in two types of information divergence
    • A. R. Barron, L. Györfi, and E. C. van der Meulen. Distribution estimation consistent in total variation and in two types of information divergence. IEEE Transactions on Information Theory, 38:1437-1454, 1992.
    • (1992) IEEE Transactions on Information Theory , vol.38 , pp. 1437-1454
    • Barron, A.R.1    Györfi, L.2    Van Der Meulen, E.C.3
  • 10
    • 0000360523 scopus 로고
    • Distribution free tests of independence based on the sample distribution function
    • J. R. Blum, J. Kiefer, and M. Rosenblatt. Distribution free tests of independence based on the sample distribution function. The Annals of Mathematical Statistics, 32:485-498, 1961.
    • (1961) The Annals of Mathematical Statistics , vol.32 , pp. 485-498
    • Blum, J.R.1    Kiefer, J.2    Rosenblatt, M.3
  • 11
    • 84961477584 scopus 로고
    • On the limiting distribution of and critical values for the Hoeffding, Blum, Kiefer, Rosenblatt independence criterion
    • D. S. Cotterill and M. Csörgo. On the limiting distribution of and critical values for the Hoeffding, Blum, Kiefer, Rosenblatt independence criterion. Statistics and Decisions, 3:1-48, 1985.
    • (1985) Statistics and Decisions , vol.3 , pp. 1-48
    • Cotterill, D.S.1    Csörgo, M.2
  • 12
    • 0000489740 scopus 로고
    • Information-type measures of divergence of probability distributions and indirect observations
    • I. Csiszár. Information-type measures of divergence of probability distributions and indirect observations. Studia Scientiarum Mathematicarum Hungarica, 2:299-318, 1967.
    • (1967) Studia Scientiarum Mathematicarum Hungarica , vol.2 , pp. 299-318
    • Csiszár, I.1
  • 13
    • 0040350036 scopus 로고    scopus 로고
    • Nonlinear canonical analysis and independence tests
    • J. Dauxois and G. M. Nkiet. Nonlinear canonical analysis and independence tests. The Annals of Statistics, 26(4): 1254-1278, 1998.
    • (1998) The Annals of Statistics , vol.26 , Issue.4 , pp. 1254-1278
    • Dauxois, J.1    Nkiet, G.M.2
  • 14
    • 21344499200 scopus 로고
    • A topological criterion for hypothesis testing
    • A. Dembo and Y. Peres. A topological criterion for hypothesis testing. The Annals of Statistics, 22: 106-117, 1994.
    • (1994) The Annals of Statistics , vol.22 , pp. 106-117
    • Dembo, A.1    Peres, Y.2
  • 15
    • 21344486242 scopus 로고
    • A consistent test for bivariate dependence
    • A. Feuerverger. A consistent test for bivariate dependence. International Statistical Review, 61(3): 419-433, 1993.
    • (1993) International Statistical Review , vol.61 , Issue.3 , pp. 419-433
    • Feuerverger, A.1
  • 16
    • 4544371135 scopus 로고    scopus 로고
    • Dimensionality reduction for supervised learning with reproducing kernel Hubert spaces
    • K. Fukumizu, F. R. Bach, and M. I. Jordan. Dimensionality reduction for supervised learning with reproducing kernel Hubert spaces. Journal of Machine Learning Research, 5:73-99, 2004.
    • (2004) Journal of Machine Learning Research , vol.5 , pp. 73-99
    • Fukumizu, K.1    Bach, F.R.2    Jordan, M.I.3
  • 17
    • 33847186281 scopus 로고    scopus 로고
    • Statistical consistency of kernel canonical correlation analysis
    • K. Fukumizu, F. Bach, and A. Gretton. Statistical consistency of kernel canonical correlation analysis. Journal of Machine Learning Research, 8:361-383, 2007. (Pubitemid 46309806)
    • (2007) Journal of Machine Learning Research , vol.8 , pp. 361-383
    • Fukumizu, K.1    Bach, F.R.2    Gretton, A.3
  • 19
    • 56749163705 scopus 로고    scopus 로고
    • Nonparametric independence tests: Space partitioning and kernel approaches
    • Berlin, Springer
    • A. Gretton and L. Györfi. Nonparametric independence tests: Space partitioning and kernel approaches. In Algorithmic Learning Theory: 19th International Conference, pages 183-198, Berlin, 2008. Springer.
    • (2008) Algorithmic Learning Theory: 19th International Conference , pp. 183-198
    • Gretton, A.1    Györfi, L.2
  • 23
    • 0036165143 scopus 로고    scopus 로고
    • Asymptotic distributions for goodness of fit statistics in a sequence of multinomial models
    • L. Györfi and I. Vajda. Asymptotic distributions for goodness of fit statistics in a sequence of multinomial models. Statistics and Probability Letters, 56:57-67, 2002.
    • (2002) Statistics and Probability Letters , vol.56 , pp. 57-67
    • Györfi, L.1    Vajda, I.2
  • 24
    • 0009964531 scopus 로고
    • A consistent goodness of fit test based on the total variation distance
    • G. Roussas, editor, Kluwer, Dordrecht
    • L. Györfi and E. C. van der Meulen. A consistent goodness of fit test based on the total variation distance. In G. Roussas, editor, Nonparametric Functional Estimation and Related Topics, pages 631-645. Kluwer, Dordrecht, 1990.
    • (1990) Nonparametric Functional Estimation and Related Topics , pp. 631-645
    • Györfi, L.1    Van Der Meulen, E.C.2
  • 26
    • 0001872520 scopus 로고
    • Central limit theorem for integrated square error of multivariate nonparametric density estimators
    • P. Hall. Central limit theorem for integrated square error of multivariate nonparametric density estimators. Journal of Multivariate Analysis, 14:1-16,1984.
    • (1984) Journal of Multivariate Analysis , vol.14 , pp. 1-16
    • Hall, P.1
  • 27
  • 28
  • 31
    • 0041466134 scopus 로고
    • On moderate and large deviations in multinomial distributions
    • W. C. M. Kallenberg. On moderate and large deviations in multinomial distributions. The Annals of Statistics, 13:1554-1580, 1985.
    • (1985) The Annals of Statistics , vol.13 , pp. 1554-1580
    • Kallenberg, W.C.M.1
  • 34
    • 84941465845 scopus 로고
    • A lower bound for discrimination in terms of variation
    • S. Kullback. A lower bound for discrimination in terms of variation. IEEE Transactions on Information Theory, 13:126-127, 1967.
    • (1967) IEEE Transactions on Information Theory , vol.13 , pp. 126-127
    • Kullback, S.1
  • 36
    • 0001035413 scopus 로고
    • On the method of bounded differences
    • Cambridge University Press
    • C. McDiarmid. On the method of bounded differences. In Survey in Combinatorics, pages 148-188. Cambridge University Press, 1989.
    • (1989) Survey in Combinatorics , pp. 148-188
    • McDiarmid, C.1
  • 37
    • 0001257942 scopus 로고
    • Central limit theorems for multinomial sums
    • C. Morris. Central limit theorems for multinomial sums. The Annals of Statistics, 3:165-188, 1975.
    • (1975) The Annals of Statistics , vol.3 , pp. 165-188
    • Morris, C.1
  • 38
    • 0001972379 scopus 로고
    • Efficiencies of chi-square and likelihood ratio goodness-of-fit tests
    • M.P. Quine and J. Robinson. Efficiencies of chi-square and likelihood ratio goodness-of-fit tests. The Annals of Statistics, 13:727-742, 1985.
    • (1985) The Annals of Statistics , vol.13 , pp. 727-742
    • Quine, M.P.1    Robinson, J.2
  • 42
    • 0002542168 scopus 로고
    • A quadratic measure of deviation of two-dimensional density estimates and a test of independence
    • M. Rosenblatt. A quadratic measure of deviation of two-dimensional density estimates and a test of independence. The Annals of Statistics, 3(1): 1-14, 1975.
    • (1975) The Annals of Statistics , vol.3 , Issue.1 , pp. 1-14
    • Rosenblatt, M.1
  • 45
    • 0010786475 scopus 로고    scopus 로고
    • On the influence of the kernel on the consistency of support vector machines
    • I. Steinwart. On the influence of the kernel on the consistency of support vector machines. Journal of Machine Learning Research, 2:67-93, 2001.
    • (2001) Journal of Machine Learning Research , vol.2 , pp. 67-93
    • Steinwart, I.1
  • 46
    • 0000750328 scopus 로고
    • On asymptotically optimal tests
    • G. Tusnády. On asymptotically optimal tests. The Annals of Statistics, 5:385-393, 1977.
    • (1977) The Annals of Statistics , vol.5 , pp. 385-393
    • Tusnády, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.