THE 4-PARAMETER KAPPA-DISTRIBUTION

被引:121
作者
HOSKING, JRM
机构
关键词
D O I
10.1147/rd.383.0251
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
Many common probability distributions, including some that have attracted recent interest for flood-frequency analysis, may be regarded as special cases of a four-parameter distribution that generalizes the three-parameter kappa distribution of P. W. Mielke. This four-parameter kappa distribution can be fitted to experimental data or used as a source of artificial data in simulation studies. This paper describes some of the properties of the four-parameter kappa distribution, and gives an example in which it is applied to modeling the distribution of annual maximum precipitation data.
引用
收藏
页码:251 / 258
页数:8
相关论文
共 29 条
[1]  
AHMAD MI, 1988, J HYDROL, V98, P215
[2]  
[Anonymous], 1996, TABLES INTEGRALS SER
[3]   Cumulative frequency functions [J].
Burr, IW .
ANNALS OF MATHEMATICAL STATISTICS, 1942, 13 :215-232
[4]  
Evans M. A., 1992, AUSTR J STATIST, V34, P433
[5]   PROBABILITY WEIGHTED MOMENTS - DEFINITION AND RELATION TO PARAMETERS OF SEVERAL DISTRIBUTIONS EXPRESSABLE IN INVERSE FORM [J].
GREENWOOD, JA ;
LANDWEHR, JM ;
MATALAS, NC ;
WALLIS, JR .
WATER RESOURCES RESEARCH, 1979, 15 (05) :1049-1054
[6]   ON THE ESTIMATION OF LONG TAILED SKEWED DISTRIBUTIONS WITH ACTUARIAL APPLICATIONS [J].
HOGG, RV ;
KLUGMAN, SA .
JOURNAL OF ECONOMETRICS, 1983, 23 (01) :91-102
[7]  
HOSKING J. R. M., 1986, RC12210 IBM TJ WATS
[8]   MOMENTS OR L-MOMENTS - AN EXAMPLE COMPARING 2 MEASURES OF DISTRIBUTIONAL SHAPE [J].
HOSKING, JRM .
AMERICAN STATISTICIAN, 1992, 46 (03) :186-189
[9]  
HOSKING JRM, 1990, J ROY STAT SOC B MET, V52, P105
[10]   PARAMETER AND QUANTILE ESTIMATION FOR THE GENERALIZED PARETO DISTRIBUTION [J].
HOSKING, JRM ;
WALLIS, JR .
TECHNOMETRICS, 1987, 29 (03) :339-349