A NOTE ON ELECTRICAL NETWORKS AND THE INVERSE GAUSSIAN DISTRIBUTION

被引:12
作者
BARNDORFFNIELSEN, OE
机构
关键词
RANDOM GRAPH; ROOTED TREE; KIRCHHOFF LAWS;
D O I
10.2307/1427579
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
When a random electrical network has the structure of a rooted tree and the edge resistances are either inverse Gaussian or reciprocal inverse Gaussian random variables then, subject to some restrictions, the overall resistance of the network is shown to follow a reciprocal inverse Gaussian distribution.
引用
收藏
页码:63 / 67
页数:5
相关论文
共 4 条
[1]   COMBINATION OF REPRODUCTIVE MODELS [J].
BARNDORFFNIELSEN, OE ;
BLAESILD, P .
ANNALS OF STATISTICS, 1988, 16 (01) :323-341
[2]  
CHARTRAND G, 1986, GRAPHS DIGRAPHS
[3]  
GRIMMETT G, 1993, CHAOS NETWORKS, P288
[4]  
Kesten H., 1982, PERCOLATION THEORY M