Power Comparison of Independence Test for the Farlie-Gumbel-Morgenstern Family |
Amini, M.
(Department of Statistics, Ordered and Spatial Data Center of Excellence, Ferdowsi University of Mashhad)
Jabbari, H. (Department of Statistics, Ordered and Spatial Data Center of Excellence, Ferdowsi University of Mashhad) Mohtashami Borzadaran, G.R. (Department of Statistics, Ordered and Spatial Data Center of Excellence, Ferdowsi University of Mashhad) Azadbakhsh, M. (Department of Mathematics, University of Damghan) |
1 | Bairamov, I. and Kotz, S. (2002). Dependence structure and symmetry of Huang-Kotz FGM distributions and their extensions, Metrika, 56, 55-72. DOI |
2 | Block, H. W. and Basu, A. P. (1974). A continuous bivariate exponential extension, Journal of the American Statistical Association, 69, 1031-1037. DOI |
3 | Farlie, D. J. G. (1960). The performance of some correlation coefficients for a general bivariate distribution function, Biometrika, 47, 307-323. DOI |
4 | Gibbons, J. D. (1971). Nonparametric Statistical Inference, MaGraw-Hill. |
5 | Gumbel, E. J. (1958). Statistics of Extremes, Columbia University Press, New York. |
6 | Guven, B. and Kotz, S. (2008). Test of independence for generalized Farlie-Gumbel-Morgenstern distributions, Journal of Computational and Applied Mathemathics, 212, 102-111. DOI ScienceOn |
7 | Hanagal, D. D. and Kale, B. K. (1991). Large sample tests of independence for absolutely continuous bivariate exponential distribution, Communications in Statistics - Theory and Methods, 20, 1301-1313. DOI ScienceOn |
8 | Kochar, S. G. and Gupta, R. P. (1987). Competitors of Kendall-tau test for testing independence against PQD, Biometrika, 74, 664-669. DOI ScienceOn |
9 | Kochar, S. G. and Gupta, R. P. (1990). Distribution-free tests based on sub-sample extrema for testing against positive dependence, Australian Journal of Statistics, 32, 45-51. DOI |
10 | Koroljuk, V. S. and Borovskich, Y. V. (1994). Theory of U-statistic, Kluwer Academic Publishers. |
11 | Lehmann, E. L. (1966). Some concepts of dependence, The Annals of Mathematical Statistics, 37, 1137-1153. DOI |
12 | Mari, D. D. and Kotz, S. (2001). Correlation and Dependence, Imperical College Press. |
13 | Shetty, I. D. and Pandit, P. V. (2003). Distribution-free tests for independence against positive quadrant dependence: A generalization, Statistical Methods and Application, 12, 5-17. DOI |
14 | Modarres, R. (2007). A test of independence based on the likelihood of Cut-Points, Communicationa in Statistics-Simulation and Computation, 36, 817-825. DOI ScienceOn |
15 | Morgenstern, D. (1956). Einfache Beispiele Zweidimensionaler Verteilungen, Mitteilungsblatt fur Mathematische Statistik, 8, 234-235. |
16 | Serfling, R. J. (1980). Approximations Theorems of Mathematical Statistics, John Wiley & Sons. |