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Some properties of link magnitude for channel networks and network patterns
Author(s) -
Dacey Michael F.
Publication year - 1972
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr008i004p01106
Subject(s) - magnitude (astronomy) , link (geometry) , channel (broadcasting) , mathematics , distribution (mathematics) , sample (material) , computer science , physics , mathematical analysis , combinatorics , telecommunications , astrophysics , thermodynamics
The generating function is given for the magnitude of a link randomly selected from the collection of topologically distinct channel networks of magnitude n and from the collection of topologically distinct network patterns of magnitude n . For large n , the link magnitude from both sample spaces has the inverse Polya distribution. An urn model underlying this distribution provides an intuitive explanation for the very long tail of the probability distribution of the link magnitude.