CONFIDENCE-REGIONS IN TERNARY DIAGRAMS BASED ON THE POWER-DIVERGENCE STATISTICS

被引:8
作者
MEDAK, F
CRESSIE, N
机构
[1] Department of Statistics, Iowa State University, Ames, 50011, Iowa
来源
MATHEMATICAL GEOLOGY | 1991年 / 23卷 / 08期
关键词
POWER-DIVERGENCE FAMILY; PEARSON X2; TRINOMIAL DISTRIBUTION; COMPOSITIONAL DATA;
D O I
10.1007/BF02066110
中图分类号
P [天文学、地球科学];
学科分类号
07 ;
摘要
Watson and Nguyen (1985) and Watson (1987) consider the problem of plotting confidence regions in a ternary diagram, for a trinomial probability vector pi, based on Pearson's chi-2. Their results are extended to the power-divergence family of statistics resulting in confidence regions of diverse shapes and sizes. The members of family with the most accurate coverage probabilities are lambda = 2/3 and lambda = 1/2.
引用
收藏
页码:1045 / 1057
页数:13
相关论文
共 9 条
[1]  
AITCHISON J, 1986, STATISTICAL ANAL COM
[2]   A FAMILY OF CONFIDENCE-INTERVALS FOR THE RATIO OF 2 BINOMIAL PROPORTIONS [J].
BEDRICK, EJ .
BIOMETRICS, 1987, 43 (04) :993-998
[3]  
CRESSIE N, 1984, J ROY STAT SOC B MET, V46, P440
[4]  
DALE JR, 1986, J ROY STAT SOC B MET, V48, P48
[5]  
DENNIS JE, 1983, NUMERICAL METHODS UN
[6]  
READ TRC, 1988, GOODNESS OF FIT STAT
[7]  
RUDAS T, 1986, J STAT COMPUT SIM, V17, P107
[8]   A CONFIDENCE REGION IN A TERNARY DIAGRAM FROM POINT COUNTS [J].
WATSON, GS ;
NGUYEN, H .
JOURNAL OF THE INTERNATIONAL ASSOCIATION FOR MATHEMATICAL GEOLOGY, 1985, 17 (02) :209-213
[9]   CONFIDENCE-REGIONS IN TERNARY DIAGRAMS-2 [J].
WATSON, GS .
MATHEMATICAL GEOLOGY, 1987, 19 (04) :347-348