Burr, IW (1942) Cumulative frequency functions.
The Annals of Mathematical Statistics, Vol. 13, No. 2, pp. 215-232.
Burr, IW, and Cislak, PJ (1968) On a general system of distribution: I. Its curve-shape characteristics; II. The sample median.
Journal of the American Statistical Association, Vol. 63, No. 322, pp. 627-635.
Embrechts, P, Klüppelberg, C, and Mikosch, T (1997).
Modelling extremal events for insurance and finance. Berlin: Springer-Verlag.
Ganora, D, and Laio, F (2015) Hydrological applications of the Burr distribution: Practical method for parameter estimation.
Journal of Hydrological Engineering, Vol. 20, No. 11, Article No. 04015024. 10.1061/(ASCE)HE.1943-5584.0001203.
Greenwood, J, Landwehr, J, Matalas, N, and Wallis, J (1979) Probability weighted moments: Definition and relation to parameters of several distributions expressible in inverse form.
Water Resources Research, Vol. 15, No. 5, pp. 1049-1054.
Hao, Z, and Singh, VP (2009) Entropy-based parameter estimation for extended Burr XII distribution.
Stochastic Environmental Research and Risk Assessment, Vol. 23, No. 8, pp. 1113-1122.
Heo, JH (2016).
Statistical hydrology. Seoul: Gumi Press.
Heo, JH, and Kim, KD (1995). A study of the selection of probability distribution for rainfall data in Korea.
Journal of the Engineering Research Institute. Yonsei University, Vol. 27: No. 2, p 193-200.
Heo, JH, Lee, YS, Shin, HJ, and Kim, KD (2007) Application of regional rainfall frequency analysis in South Korea(I): Rainfall quantile estimation.
Journal of the Korean Society of Civil Engineers, Vol. 27, No. 2B, pp. 101-111.
Heo, JH, Shin, HJ, and Shin, JY (2012). The newest version development status of FARD, Korean representative frequency analysis program.
Water and Future. Korea Water Resources Association, Vol. 45: No. 1, p 96-100.
Houghton, JT, Ding, Y, Griggs, DJ, Noguer, M, van der Linden, PJ, Dai, X, et al (2001).
Climate change 2001: The scientific basics. Contribution of Working Group I to the Third Assessment Report of the Intergovernmental Panel on Climate Change (IPCC). Cambridge: Cambridge University Press.
Hosking, J, and Wallis, J (1997).
Regional frequency analysis: An approach based on L-moments. Cambridge: Cambridge University Press.
Institute of Hydrology (IH) (1999).
Flood estimation handbook.
Kim, KD, Nam, WS, and Heo, JH (2004).
Introduction to regional frequency analysis. Korea Infrastructure Safety Corporation.
Kim, KD, Heo, JH, and Cho, WC (1996) The Selection of Appropriate Probability Distributions for Annual Maximum Rainfall data.
Journal of the Korean Society of Civil Engineers, Vol. 16, No. 2, pp. 335-344.
Klugman, SA (1986) Loss distributions.
Proceedings of Symposia in Applied Mathematics: Actuarial Mathematics, Vol. 35, pp. 31-55.
Kuo, JT, Hsu, YC, Tung, YK, Yeh, KC, and Wu, JD (2008) Dam overtopping risk assessment considering inspection program.
Stochastic Environmental Research and Risk Assessment, Vol. 22, pp. 303-313.
Landwehr, J, Matalas, N, and Wallis, J (1979) Probability weighted moments compared with same traditional techniques in estimating Gumbel parameters and quantiles.
Water Resources Research, Vol. 15, No. 5, pp. 1055-1064.
Lee, SH, Maeng, SJ, and Ryoo, KS (1998) Comparative analysis of design flood by different methods for the estimation of parameters in generalized gamma distribution model.
Korean National Committee on Irrigation and Drainage Journal, Vol. 5, No. 1, pp. 32-46.
Lee, JJ, Lee, JS, Kim, BI, and Park, JY (2000) Derivation of probable rainfall intensity formula of individual zone based on the representative probability distribution.
Journal of Korea Water Resources Association, Vol. 33, No. S1, pp. 124-129.
Lee, SH, Song, KH, Maeng, SJ, Ryoo, KS, and Jee, HK (2000) Derivation of design floods by the probability weighted moments in the Wakeby distribution.
Journal of the Korean Society of Agricultural Engineers, Vol. 42, No. 6, pp. 63-71.
Lindsay, SR, Wood, GR, and Woollons, RC (1996) Modelling the diameter distribution of forest stands using the Burr distribution.
Journal of Applied Statistics, Vol. 23, No. 6, pp. 609-620.
Maeng, SJ, Lee, SH, Lee, HG, Ryoo, KS, and Song, GH (2006) Flood frequency analysis by Wakeby and Kappa distributions using
L-moments.
Journal of the Korean Society of Agricultural Engineers, Vol. 48, No. 5, pp. 17-27.
Melching, CS, Wenzel, H, and Yen, BC (1987). Application of system reliability analysis to flood forecasting. In: Singh VP, ed.
Application of Frequency and Risk in Water Resources. p 335-350. Dordrecht, Holland: Reidel Publishing Company.
Ministry of Construction and Transportation (MOCT) (2000).
Creation of Korean probability rainfall map: Research report on development of water resource management techniques.
Ministry of Land, Transport and Maritime Affairs (MLTM) (2011).
A study for improvement and revision of probability rainfall map.
Natural Environment Research Council (NERC) (1975).
Flood studies report: Vol. 1 Hydrological studies.
Na, BK, Kim, JY, Kwon, HH, and Lim, JY (2014) Improvement of hydrologic dam risk analysis model considering uncertainty of hydrologic analysis process.
Journal of Korea Water Resources Association, Vol. 47, No. 10, pp. 853-865.
Oh, ES (2001). Parameter estimations of Kappa distribution for modelling precipitation data.
Master's thesis. Chonnam National University.
Rodriguez, R (1977) A guide to the Burr type XII distributions.
Biometrika, Vol. 64, No. 1, pp. 129-134.
Seo, JH, Shin, HJ, Ahn, HJ, and Heo, JH (2017) Applicability of the Burr XII distribution through dimensionless
L-moment ration of rainfall data in South Korea.
Journal of Korea Water Resources Association, Vol. 50, No. 3, pp. 211-221.
Shao, Q (2000) Estimation for hazardous concentrations based on NOEC toxicity data: An alternative approach.
Environmetrics, Vol. 11, No. 5, pp. 583-595.
Shao, Q, and Zhou, X (2004) A new parametric model for survival data with long-term survivors.
Statistics in Medicine, Vol. 23, No. 22, pp. 3525-3543.
Shao, Q (2004) Notes on maximum likelihood estimation for the three-parameter Burr XII distribution.
Computational Statistics and Data Analysis, Vol. 45, No. 3, pp. 675-687.
Shao, Q, Wong, H, Xia, J, and Ip, W (2004) Models for extremes using the extended three-parameter Burr XII system with application to flood frequency analysis.
Hydrological Sciences Journal, Vol. 49, No. 4, pp. 685-702.
Shin, HJ, Sung, KM, and Heo, JH (2010) Derivation of modified Anderson-Darling test statistics and power test for the Gumbel distribution.
Journal of Korea Water Resources Association, Vol. 43, No. 9, pp. 813-822.
Tadikamalla, P (1980) A look at the Burr and related distributions.
International Statistical Review, Vol. 48, No. 3, pp. 337-344.
The Institution of Engineers (2001).
Australian rainfall and runoff (Reprinted ed.). Barton, Australia: Institute of Engineers.
U.S. Water Resources Council (1976).
Guidelines for determining flood flow frequency. Bulletin 17. Washington, D.C.
Wang, FK, Keats, JB, and Zimmer, WJ (1996) Maximum likelihood estimation of the Burr XII parameters with censored and uncensored data.
Microelectronics Reliability, Vol. 36, No. 3, pp. 359-362.
Wingo, DR (1983) Maximum likelihood methods for fitting the Burr Type XII distribution to life test data.
Biometrical Journal, Vol. 25, No. 1, pp. 77-84.
Wingo, DR (1993) Maximum likelihood estimation of Burr XII distribution parameters under type II censoring.
Microelectronics Reliability, Vol. 33, No. 9, pp. 1251-1257.