References
- Anderson, T. W. and Darling, D. A. (1952). Asymptotic theory of certain "Goodness of Fit" criteria based on stochastic processes. Annals of Mathematical Statistics, 23, 193-212. https://doi.org/10.1214/aoms/1177729437
- Fisher, R. A. and Tippett, L. H. C. (1928). Limiting forms of the frequency distribution of the largest or smallest member of a sample. Mathematical Proceedings of the Cambridge Philosophical Society, 24, 180-190. https://doi.org/10.1017/S0305004100015681
- Gnedenko, B. V. (1943). Sur la distribution limite du terme maximum d'une serie aleatoire. Annals of Mathematics, 44, 423-453. https://doi.org/10.2307/1968974
- Greenwood, J. A., Landwehr, J. M., Matalas, N. C. and Wallis, J. R. (1979). Probability weighted moments: Definition and relation to parameters of several distributions expressable in inverse form. Water Resources Research, 15, 1049-1054. https://doi.org/10.1029/WR015i005p01049
- Hosking, J. R. M., Wallis, J. R. and Wood, E. F. (1985). Estimation of the generalised extreme value distribution by the method of probability weighted monents. Technometrics, 27, 251-261. https://doi.org/10.1080/00401706.1985.10488049
- Hosking, J. R. M. and Wallis, J. R. (1987). Parameter and quantile estimation for the generalized Pareto distribution. Technometrics, 29, 339-349. https://doi.org/10.1080/00401706.1987.10488243
- Hosking, J. R. M. (1990). L-moments: Analysis and estimation of distributions using linear combinations of order statistics. Journal of the Royal Statistical Society B, 52, 105-124.
- Jenkinson, A. F. (1955). The frequency distribution of the annual maximum (or minimum) values of meteorological elements. Quarterly Journal of the Royal Meteorological Society, 81, 158-171. https://doi.org/10.1002/qj.49708134804
- Kim, H. D. and Kim, H. T. (2015). Finding optimal portfolio based on genetic algorithm with generalized Pareto distribution. Journal of the Korean Data & Information Science Society, 26, 1479-1494. https://doi.org/10.7465/jkdi.2015.26.6.1479
- Kim, J. C., Park, C, R. and Kim, S. H. (2015). On the extreme value distribution of foreign exchange rates using L-moments. The Korean Journal Of Financial Engineering, 14, 1-33.
- Kim, Y. K. (2015). A hierarchical bayesian modeling of temporal trends in return levels for extreme precipitations. The Korean Journal of Applied Statistics, 28, 137-149. https://doi.org/10.5351/KJAS.2015.28.2.137
- Koh, D. K., Choo, T. H., Maeng, S. J. and Trivedi, C. (2008). Regional frequency analysis for rainfall using L-moment. The Journal of the Korea Contents Association, 8, 252-263.
- Longin, F. M. (1996). The asymptotic distribution of extreme stock market returns. Journal of Business, 69, 383-408. https://doi.org/10.1086/209695
- Longin, F. M. (2000). From value at risk to stress testing: The extreme value approach. Journal of Banking and Finance, 24, 1097-1130. https://doi.org/10.1016/S0378-4266(99)00077-1
- Prescott, P. and Walden, A. T. (1980). Maximum likeihood estimation of the parameters of the generalized extreme value distribution. Biometrika, 67, 723-724. https://doi.org/10.1093/biomet/67.3.723
- Shin, H. J., Sung, K. M. and Heo, J. H. (2010). Derivation of modified anderson-darling test statistics and power test for the gumbel distribution. Journal of Korea Water Resources Association, 43, 813-822. https://doi.org/10.3741/JKWRA.2010.43.9.813
- Sohn, K. T. and Liang, X. (2014). Estimation of return levels of typhoon best track data based on generalized extreme value distribution. Journal of the Korean Data Analysis Society, 16, 1259-1267.
- Smirnov, N. V. (1939). On the estimation of the discrepancy between empirical curves of distribution for two independent samples. Bulletin of Mathematical University of Moscow, 2, 3-16.
- Sung, Y. K. and Sohn, J. K. (2013). Prediction of extreme rainfall with a generalized extreme value distribution. Journal of theKorean Data & Information Science Society, 24, 857-865. https://doi.org/10.7465/jkdi.2013.24.4.857
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