과제정보
연구 과제 주관 기관 : Ferdowsi University of Mashhad
참고문헌
- Amini M, Jabbari H, Mohtashami Borzadaran GR, and Azadbakhsh M (2010). Power comparison of independence test for the Farlie-Gumbel-Morgenstern family, Communications of the Korean Statistical Society, 17, 493-505.
- Amini M, Jabbari H, and Mohtashami Borzadaran GR (2011). Aspects of dependence in generalized Farlie-Gumbel-Morgenstern distributions, Communications in Statistics - Simulation and Computation, 40, 1192-1205. https://doi.org/10.1080/03610918.2011.568149
- Bairamov I and Kotz S (2002). Dependence structure and symmetry of Huang-Kotz FGM distributions and their extensions, Metrika, 56, 55-72. https://doi.org/10.1007/s001840100158
- Baker R (2008). An order-statistics-based method for constructing multivariate distributions with fixed marginals, Journal of Multivariate Analysis, 99, 2312-2327. https://doi.org/10.1016/j.jmva.2008.02.019
- Cook RD and Johnson ME (1986). Generalized Burr-Pareto-logistic distributions with applications to a uranium exploration data set, Technometrics, 28, 123-131. https://doi.org/10.1080/00401706.1986.10488113
- Deheuvels P (1981). An asymptotic decomposition for multivariate distribution-free tests of independence, Journal of Multivariate Analysis, 11, 102-113. https://doi.org/10.1016/0047-259X(81)90136-6
- Dou X, Kuriki S, Lin GD, and Richards D (2016). EM algorithms for estimating the Bernstein copula, Computational Statistics & Data Analysis, 93, 228-245. https://doi.org/10.1016/j.csda.2014.01.009
- Farlie DJG (1960). The performance of some correlation coefficients for a general bivariate distribution, Biometrika, 47, 307-323. https://doi.org/10.1093/biomet/47.3-4.307
- Fasano G and Franceschini A (1987). A multidimensional version of the Kolmogorov-Smirnov test, Monthly Notices of the Royal Astronomical Society, 225, 155-170. https://doi.org/10.1093/mnras/225.1.155
- Genest C, Quessy JF, and Remillard B (2006). Local efficiency of a Cramer-von Mises test of independence, Journal of Multivariate Analysis, 97, 274-294. https://doi.org/10.1016/j.jmva.2005.03.003
- Genest C and Remillard B (2004). Test of independence and randomness based on the empirical copula process, Test, 13, 335-369. https://doi.org/10.1007/BF02595777
- Genest C and Verret F (2005). Locally most powerful rank tests of independence for copula models, Journal of Nonparametric Statistics, 17, 521-539. https://doi.org/10.1080/10485250500038926
- Gumbel EJ (1960). Bivariate exponential distributions, Journal of the American Statistical Association, 55, 698-707. https://doi.org/10.1080/01621459.1960.10483368
- Guven B and Kotz S (2008). Test of independence for generalized Farlie-Gumbel-Morgenstern distributions, Journal of Computational and Applied Mathematics, 212, 102-111. https://doi.org/10.1016/j.cam.2006.11.029
- Hajek J and Sidak Z (1967). Theory of Rank Tests, Academic Press, San Diego, CA.
- Hlubinka D and Kotz S (2010). The generalized FGM distribution and its application to stereology of extremes, Applications of Mathematics, 55, 495-512. https://doi.org/10.1007/s10492-010-0020-x
- Huang JS and Kotz S (1999). Modifications the Farlie-Gumbel-Morgenstern distributions: a tough hill to climb, Metrika, 49, 135-145. https://doi.org/10.1007/s001840050030
- Jung YS, Kim JM, and Kim J (2008). New approach of directional dependence in exchange markets using generalized FGM copula function, Communications in Statistics - Simulation and Computation, 37, 772-788. https://doi.org/10.1080/03610910701711091
- Kendall MG and Gibbons JD (1990). Rank Correlation Methods (5th ed), Oxford University Press, New York.
- Kochar SC and Gupta RP (1987). Competitors of Kendall-tau test for testing independence against positive quadrant dependence, Biometrika, 74, 664-666. https://doi.org/10.1093/biomet/74.3.664
- Kochar SC and Gupta RP (1990). Distribution-free tests based on sub-sample extrema for testing against positive dependence, Australian Journal of Statistics, 32, 45-51. https://doi.org/10.1111/j.1467-842X.1990.tb00998.x
- Lehmann EL (1966). Some concepts of dependence, Annals of Mathematics and Statistics, 37, 1137-1153. https://doi.org/10.1214/aoms/1177699260
- Morgenstern D (1956). Einfache beispiele zweidimensionaler verteilungen, Mitteilungsblatt fur Mathematische Statistik, 8, 234-235.
- Nelsen RB (2006). An Introduction to Copulas (2nd ed), Springer, New York.
- Peacock JA (1983). Two-dimensional goodness-of-fit testing in astronomy, Monthly Notices of the Royal Astronomical Society, 202, 615-627. https://doi.org/10.1093/mnras/202.3.615
- Rodel E and Kossler W (2004). Linear rank tests for independence in bivariate distributions: power comparisons by simulation, Computational Statistics & Data Analysis, 46, 645-660. https://doi.org/10.1016/j.csda.2003.09.005
- Serfling RJ (1980). Approximations Theorems of Mathematical Statistics, John Wiley & Sons, New York.
- Shetty ID and Pandit PV (2003). Distribution-free tests for independence against positive quadrant dependence: a generalization, Statistical Methods and Applications, 12, 5-17. https://doi.org/10.1007/BF02511580
- Sklar A (1959). Fonctions de repartition a n dimensions et leurs marges, Publications de l'institue de Statistique de l'Universitte de Paris, 8, 229-231.