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.
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页码:1045 / 1057
页数:13
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