Measures of radial asymmetry for bivariate random vectors

Statistical Papers

Volumn 54, Issue 2, 2013, Pages 271-286

  Dehgani, Azam ^a   Dolati, Ali ^a   Úbeda Flores, Manuel ^b  

^a YAZD UNIVERSITY   (Iran)

^b UNIVERSITY OF ALMERÍA   (Spain)

Author keywords

Bivariate symmetry; Copula; Empirical process; Radial symmetry

Indexed keywords

EID: 84876072506     PISSN: 09325026     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00362-011-0425-y     Document Type: Article

References (30)

1. m. Ann Inst Statist Math 45: 787-800.
2. Alvoni E, Papini PL (2007) Quasi-concave copulas, asymmetry and transformations. Comment Math Univ Carol 48: 311-319.
3. Ang A, Chen J (2002) Asymmetric correlations os equity portfolios. J Finance Econ 63: 443-494.
4. Behboodian J, Dolati A, Úbeda-Flores M (2005) Measures of association based on average quadrant dependence. J Probab Statist Sci 3(2): 161-173.
5. Blum JR, Kiefer J, Rosenblatt M (1961) Distribution-free tests of independence based on the sample distribution function. Ann Math Stat 32: 485-498.
6. Durante F (2009) Construction of non-exchangeable bivariate distribution functions. Stat Papers 50: 383-391.
7. ∞-measure of non-exchangeability for bivariate extreme value and Archimax copulas. J Math Anal Appl 369: 610-615.
8. Durante F, Papini PL (2010) Non-exchangeability of negatively dependent random variables. Metrika 71: 139-149.
9. Durante F, Fernández-Sánchez J, Sempi C (2011) Sklar's theorem via regularization techniques. Nonlinear Anal (in press).
10. Durante F, Klement EP, Sempi C, 'Ubeda-Flores M (2010) Measures of non-exchangeability for bivariate random vectors. Stat Papers 51: 687-699.
11. Fang KT, Kotz S, Ng KW (1989) Symmetric multivariate and related distributions. Chapman & Hall, London.
12. Fermanian JD, Radulovic D, Wegkamp M (2004) Weak convergence of empirical copula processes. Bernoulli 10(5): 847-860.
13. Genest C, Nešlehová J, Quessy J-F (2012) Tests of symmetry for bivariate copulas. Ann Inst Stat Math 64. doi: 10. 1007/s10463-011-0337-6.
14. Gould HW (1972) In: HW Gould, WVa Morgantown (eds) Combinatorial Identities: A standardized set of tables listing 500 binomial coefficient summations, West Virginia University, Washington.
15. Heathcote CR, Rachev ST, Cheng B (1995) Testing multivariate symmetry. J Multivar Anal 54: 91-112.
16. Hollander M (1971) A nonparametric test for bivariate symmetry. Biometrika 58: 203-212.
17. Klement EP, Mesiar R (2006) How non-symmetric can a copula be? Comment. Math Univ Carol 47(1): 141-148.
18. Longin F, Solnik B (2001) Extreme correlation of international equity markets. J Finance 56: 649-676.
19. Nelsen RB (1993) Some concepts of bivariate symmetry. J Nonparametr Stat 3: 95-101.
20. Nelsen RB (2006) An introduction to copulas. Second Edition. Springer, New York.
21. Nelsen RB (2007) Extremes of nonexchangeability. Stat Papers 48(2): 329-336.
22. Nelsen RB, Quesada-Molina JJ, Rodríguez-Lallena JA, 'Ubeda-Flores M (2004) Best-possible bounds on sets of bivariate distribution functions. J Multivar Anal 90: 348-358.
23. Ngatchou JW (2009) Testing for symmetry in multivariate distributions. Stat Methodol 6: 230-250.
24. Prokhorov A, Schmidt P (2009) Likelihood-based estimation in a panel setting: robustness, redundancy, and validity of copulas. J Econom 153: 93-104.
25. Quesada-Molina JJ, Rodríguez-Lallena JA (1995) Bivariate copulas with quadratic sections. J Nonparametr Stat 5: 323-337.
26. Rüschendorf L (1976) Asymptotic distributions of multivariate rank order statistics. Ann Stat 4: 912-923.
27. Schweizer B, Wolff EF (1981) On nonparametric measure of dependence for random variables. Ann Stat 9: 879-885.
28. Segers J (2011) Asymptotics of empirical copula processes under nonrestrictive smoothness assumptions. arXiv: 1012. 2133v2.
29. Sklar A (1959) Functions de répartition àà n dimensions et leurs marges. Publ Inst Stat Univ Paris 8: 229-231.
30. van der Varrt AW, Wellner JA (1996) Weak convergence and empirical process. Springer, New York.