References
- Casella , G. and Berger , R. L. 2001 . Statistical Inference , 2 , Monterey , CA : Brooks/Cole .
- Chow , K. C. and Watt , W. E. 1994 . “ Practical use of the L-moments ” . In Stochastic and Statistical Methods in Hydrology and Environment Engineering , Edited by: Hipel , K. W. Vol. 1 , 55 – 69 . Boston , MA : Kluwer Academic Publishers .
- David , H. A. and Nagaraja , H. N. 2003 . Order Statistics , 3 , New York : John Wiley .
- Gil-Pelaez , J. 1951 . Note on the inversion theorem . Biometrika , 38 : 481 – 482 .
- Gingras , D. and Adamowski , K. 1994 . Performance of L-moments and nonparametric flood frequency analysis . Can. J. Civ. Eng. , 21 : 856 – 862 . (doi:10.1139/l94-091)
- Gottlieb , R. H. , Kumar , P. , Loud , P. , Klippenstein , D. , Raczyk , C. , Tan , W. , Lu , J. and Ramnath , N. 2009 . Semiquantitative visual approach to scoring lung cancer treatment response using computed tomography: A pilot study . J. Comput. Assist. Tomogr. , 33 : 743 – 747 . (doi:10.1097/RCT.0b013e3181963b14)
- Hosking , J. R.M. 1990 . L-moments: Analysis and estimation of distributions using linear combinations of order statistics . J. R. Stat. Soc. Ser. B , 52 : 105 – 124 .
- Hosking , J. R.M. and Wallis , J. R. 1995 . A comparison of unbiased and plotting-position estimators of L-moments . Water Resour. Res. , 31 : 2019 – 2025 . (doi:10.1029/95WR01230)
- Hosking , J. R.M. and Wallis , J. R. 1997 . Regional Frequency Analysis: An Approach Based on L-Moments , Cambridge : Cambridge University Press .
- Hutson , A. D. and Ernst , M. D. 2000 . The exact bootstrap mean and variance of an L-estimator . J. R. Stat. Soc. Ser. B , 62 : 89 – 94 . (doi:10.1111/1467-9868.00221)
- Kaplan , E. L. and Meier , P. 1958 . Nonparametric estimation from incomplete observations . J. Amer. Statist. Assoc. , 52 : 457 – 481 . (doi:10.1080/01621459.1958.10501452)
- Knight , J. 1985 . The Joint Characteristic Function of Linear and Quadratic Forms of Non-Normal Variables . Sankhya: Ser. A , 47 : 231 – 238 .
- Liou , J. , Wu , Y. and Cheng , K. 2008 . Establishing acceptance regions for L-moments based goodness-of-fit tests by stochastic simulation . J. Hydrol. , 355 : 49 – 62 . (doi:10.1016/j.jhydrol.2008.02.023)
- Miecznikowski , J. C. , Wang , D. and Hutson , A. 2010 . Bootstrap MISE estimators to obtain bandwidth for kernel density estimation . Comm. Statist. Simulation Comput. , 39 : 1455 – 1469 . (doi:10.1080/03610918.2010.500108)
- Parzen , M. 1979 . Nonparametric statistical data modeling . J. Amer. Statist. Assoc. , 74 : 105 – 121 . (doi:10.1080/01621459.1979.10481621)
- Royston , P. 1992 . Which measures of skewness and kurtosis are best? . Stat. Med. , 11 : 333 – 343 . (doi:10.1002/sim.4780110306)
- Serfling , R. 2001 . Approximation Theorems of Mathematical Statistics , New York , NY : Wiley-Interscience .
- Shephard , N. G. 1991 . From characteristic function to distribution function: a simple framework for the theory . Econometric Theory , 4 : 519 – 529 . (doi:10.1017/S0266466600004746)
- Vogel , R. M. and Fennessey , N. M. 1993 . L-moment diagrams should replace product moment diagrams . Water Resour. Res. , 29 : 1745 – 1752 . (doi:10.1029/93WR00341)
- Vogel , R. M. , McMahon , T. A. and Chiew , H. S. 1993 . Flood flow frequency model selection in Australia . J. Hydrol. , 146 : 421 – 449 . (doi:10.1016/0022-1694(93)90288-K)
- Vogel , R. M. and Wilson , I. 1996 . Probability distribution of annual maximum, mean, and minimum streamflows in the United States . J. Hydrologic Eng. , 1 : 69 – 76 . (doi:10.1061/(ASCE)1084-0699(1996)1:2(69))
- Waller , L. A. , Turnbull , B. W. and Hardin , J. M. 1995 . Obtaining distribution functions by numerical inversion of characteristic functions with applications . Amer. Statist. , 49 : 346 – 350 .
- Wang , D. , Hutson , A. D. and Gaile , D. P. 2010 . An exact bootstrap approach towards modification of the Harrell–Davis quantile function estimator for censored data . J. Nonparametr. Stat. , 22 : 1039 – 1051 . (doi:10.1080/10485250903524662)
- Wang , D. , Hutson , A. D. and Miecznikowski , J. C. 2010 . L-moment estimation for parametric survival models given censored data . Stat. Methodol. , 7 : 655 – 667 . (doi:10.1016/j.stamet.2010.07.002)
- Wang , D. , Miecznikowski , J. C. and Hutson , A. D. 2012 . Direct density estimation of L-estimates via characteristic functions with applications . J. Statist. Plann. Inference , 142 : 567 – 578 . (doi:10.1016/j.jspi.2011.08.014)
- Wu , Y. , Liou , J. , Su , Y. and Cheng , K. 2011 . Establishing acceptance regions for L-moments based goodness-of-fit tests for the Pearson type III distribution . Stoch. Environ. Res. Risk Assess. , 26 : 873 – 885 . (doi:10.1007/s00477-011-0519-z)