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References and Further Reading
Beran R, Bilodeau M, Lafaye de Micheaux P (2007) Nonparametric tests of independence between random vectors. J Multivar Anal 98(9):1805–1824
Bilodeau M, Lafaye de Micheaux P (2005) A multivariate empirical characteristic function test of independence with normal marginals. J Multivar Anal 95:345–369
Blum JR, Kiefer J, Rosenblatt M (1961) Distribution free test of independence based on the sample distribution function. Ann Math Stat 32:485–498
Brock WA, Dechert WD, LeBaron B, Scheinkman JA (1996) A test for independence based on the correlation dimension. Econom Rev 15:197–235
Deheuvels P (1981) An asymptotic decomposition for multivariate distribution-free tests of independence. J Multivar Anal 11:102–113
Ferguson TS, Genest C, Hallin M (2000) Kendall’s tau for serial dependence. Can J Stat 28:587–604
Feuerverger A (1993) A consistent test for bivariate dependence. Int Stat Rev 61:419–433
Genest C, Ghoudi K, Rémillard B (2007) Rank-based extensions of the Brock Dechert Scheinkman test for serial dependence. J Am Stat Assoc 102:1363–1376
Genest C, Quessy J-F, Rémillard B (2002) Tests of serial independence based on Kendall’s process. Can J Stat 30:441–461
Genest C, Quessy J-F, Rémillard B (2006) Local efficiency of a Cramér-von Mises test of independence. J Multivar Anal 97:274–294
Genest C, Quessy J-F, Rémillard B (2007) Asymptotic local efficiency of Cramér-von Mises tests for multivariate independence. Ann Stat 35:166–191
Genest C, Rémillard B (2004) Tests of independence or randomness based on the empirical copula process. Test 13:335–369
Ghoudi K, Kulperger RJ, Rémillard B (2001) A nonparametric test of serial independence for time series and residuals. J Multivar Anal 79:191–218
Ghoudi K, Rémillard B (2004) Empirical processes based on pseudoobservations. II. The multivariate case. In Asymptotic methods in stochastics, Vol 44 of fields institute communications. American Mathematical Society, Providence, RI, pp 381–406
Hallin M, Ingenbleek J-F, Puri ML (1985) Linear serial rank tests for randomness against ARMA alternatives. Ann Stat 13:1156–1181
Kojadinovic I, Holmes M (2009) Tests of independence among continuous random vectors based on cramér-von mises functionals of the empirical copula process. J Multivar Anal 100(6):1137–1154
Kojadinovic I, Yan J (2010) Tests of serial independence for continuous multivariate time series based on a Möbius decomposition of the independence empirical copula process. Ann Inst Stat Math
Rüschendorf L (1976) Asymptotic distributions of multivariate rank order statistics. Ann Stat 4(5):912–923
Skaug HJ, Tjøstheim D (1993) A nonparametric test of serial independence based on the empirical distribution function. Biometrika 80:591–602
Sklar M (1959) Fonctions de répartition á n dimensions et leurs marges. Publ Inst Stat Univ Paris 8:229–231
Székely GJ, Rizzo ML (2010) Brownian distance covariance. Ann Appl Stat 3(4):1236–1265
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Rémillard, B. (2011). Tests of Independence. In: Lovric, M. (eds) International Encyclopedia of Statistical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04898-2_592
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