Abstract
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:
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Moran, P. A., Nature. 158, 521 (1946)
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KRISHNA IYER, P. Random Association of Points on a Lattice. Nature 160, 714 (1947). https://doi.org/10.1038/160714a0
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DOI: https://doi.org/10.1038/160714a0
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