A Note on Electrical Networks and the Inverse Gaussian Distribution

Authors
Barndorff-Nielsen, O. E.
Citation
E. Barndorff-nielsen, O., A Note on Electrical Networks and the Inverse Gaussian Distribution, Advances in applied probability , 26(1), 1994, pp. 63-67
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
26
Issue
1
Year of publication
1994
Pages
63 - 67
Database
ACNP
SICI code
Abstract
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.