Testing symmetry of an unknown density function by kernel method

Journal of Nonparametric Statistics

Volumn 7, Issue 3, 1997, Pages 279-293

  Ahmad, Ibrahim A ^a   Li, Qi ^b  

^a NORTHERN ILLINOIS UNIVERSITY   (United States)

^b UNIVERSITY OF GUELPH   (Canada)

Author keywords

Bivariate symmetry; Kernel estimation; Linear regression model; Monte carlo simulation; Nonparametric testing; Symmetry

Indexed keywords

EID: 0001161521     PISSN: 10485252     EISSN: None     Source Type: Journal    
DOI: 10.1080/10485259708832704     Document Type: Article

References (17)

1. Ahmad, I. A. and Cerrito, P. B. (1991). Bivariate symmetry: definitions and basic properties, J. Nonparam. Statist., 1, 165-169.
2. Ahmad, I. A. (1982). Nonparametric estimation of the location and scale parameters based on density estimation, Ann. Instit. Statist. Math., 34, 39-53.
3. Ahmad, I. A. and Van Belle, G. (1974). Measuring affinity of distributions, Reliability and Biometry, Statistical Analysis of Life Testing (F. Proschan and R. J. Serfling, eds.), SIAM, Philadelphia, 651-668.
4. Bickle, P. J. (1982). On adaptive estimation, Ann. Statist., 10, 647-671.
5. Fan, Y. and Gencay, R. (1995). A consistent Nonparametric test of symmetry in linear regression models, J. Amer. Statist. Assoc., 90, 551-557.
6. Fan, Y. and Gencay, R. (1993). Nonparametric testing based on modified non-parametric estimation of affinity measure between two distributions, J. Nonparam. Statist., 2, 389-403.
7. Hall, P. (1984). Central limit theorem for integrated square error of multivariate non-parametric density estimators, J. Mult. Analysis, 14, 1-16.
8. Hardle, W. (1990). Applied Nonparametric Regression. Ecometric Society Monographs No.19, Cambridge University Press.
9. Heathcote, C. R., Rachev, S. T. and Cheng, B. (1995). Testing multivariate symmetry, J. Mult. Analysis, 54, 91-112.
10. Hollander, M. (1988). Testing for symmetry, Encycl. Statist. Sci., (N. L. Johnson and S. Koltz, eds.) 9, 211-216.
11. Hollander, M. (1988). Testing bivariate symmetry, Biometrika, 58, 203-212.
12. Huskova, M. (1984). Hypothesis of Symmetry, Handbood of Statistics, 4, 63-78, Non-parametric Methods, (P. R. Krishnaiah and P. K. Son, ed.) North Holland, New York.
13. Marron, J. S. (1988). Automatic smoothing parameter selection: A survey, Empirical Economics, 13, 187-208.
14. Marron, J. S. and Wand, M. P. (1992). Exact mean integrated squared error, Ann. Statist., 20, 712-736.
15. Nelson, R. B. (1993). Some concepts of bivariate symmetry, J. Nonparam. Statist., 3, 95-101.
16. Silverman, B. W. (1986). Density Estimation in Statistic and Data Analysis. Chapman and Hall, London.
17. Ullah, A. (1988). Nonparametric estimation of economic functionals, Canadian J. Economics, 21, 625-658.