Random Association of Points on a Lattice

Random Association of Points on a Lattice

Moran1 has given the first and the second moments for the probability distribution of 'black - white' joins when mn points black or white with probabilities p and q = 1 - p respectively are distributed on a lattice of m rows and n columns. During the course of a detailed study of similar p...

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Veröffentlicht in:Nature (London) 1947-11, Vol.160 (4073), p.714-714
1. Verfasser: KRISHNA IYER, P. V
Format: Artikel
Sprache:eng
Schlagworte:
Humanities and Social Sciences
letter
multidisciplinary
Science
Science (multidisciplinary)
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Zusammenfassung:Moran1 has given the first and the second moments for the probability distribution of 'black - white' joins when mn points black or white with probabilities p and q = 1 - p respectively are distributed on a lattice of m rows and n columns. During the course of a detailed study of similar problems, I have worked out the first and the second moments for the distribution of the total number of joins between points of different colours when the lattice consists of points of k colours with probabilities p1, p2 ... pk, such that. These results for one, two and three dimensions are given below:
ISSN:0028-0836
1476-4687
DOI:10.1038/160714a0