A new family of non-negative distributions

被引:72
作者
Hankin, RKS
Lee, A
机构
[1] Natl Oceanog Ctr, Southampton SO14 3ZH, Hants, England
[2] Univ Auckland, Dept Stat, Auckland, New Zealand
基金
英国自然环境研究理事会;
关键词
Davies distribution; maximum likelihood; uniform order statistics;
D O I
10.1111/j.1467-842X.2006.00426.x
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We introduce a new, flexible family of distributions for non-negative data, defined by means of a quantile function. We describe some properties of this family, and discuss several methods for estimating the parameters. The distribution is applied to an example from environmental engineering.
引用
收藏
页码:67 / 78
页数:12
相关论文
共 13 条
[1]  
[Anonymous], 1992, HDB LOGISTIC DISTRIB
[2]   Cumulative frequency functions [J].
Burr, IW .
ANNALS OF MATHEMATICAL STATISTICS, 1942, 13 :215-232
[3]  
Hall N, 2004, CHEM WORLD-UK, V1, P2
[4]  
HANKIN RKS, 2005, DAVIES DAVIES QUANTI
[5]  
NUSSEY C, 1992, INST CHEM E, V130, P607
[6]   LEAST-SQUARES ESTIMATION OF THE PARAMETERS OF THE GENERALIZED LAMBDA-DISTRIBUTION [J].
OZTURK, A ;
DALE, RF .
TECHNOMETRICS, 1985, 27 (01) :81-84
[7]  
Pasquill F., 1983, Atmospheric Diffusion, VThird
[8]  
R Development Core Team, 2005, R LANG ENV STAT COMP
[9]   APPROXIMATE METHOD FOR GENERATING ASYMMETRIC RANDOM-VARIABLES [J].
RAMBERG, JS ;
SCHMEISER, BW .
COMMUNICATIONS OF THE ACM, 1974, 17 (02) :78-82
[10]   APPROXIMATE METHOD FOR GENERATING SYMMETRIC RANDOM-VARIABLES [J].
RAMBERG, JS ;
SCHMEISER, BW .
COMMUNICATIONS OF THE ACM, 1972, 15 (11) :987-+