The asymptotic distribution of random molecules
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If n solid spheres K n of some volume V(K n ) are scattered randomly in the unit cube of euclidean d-space, some of them will overlap to form L n (s) molecules with exactly s atoms K n. The random variable L n(s) has a limit distribution if V(K n ) tends to zero but nV(Kn ) tends to infinity at a certain rate: it is shown that for L n(s) is asymptotically Poisson.
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1950 ◽
Vol 46
(1)
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pp. 111-115
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Keyword(s):
1970 ◽
Vol 13
(1)
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pp. 151-152
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2006 ◽
Vol 43
(02)
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pp. 377-390
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1971 ◽
Vol 8
(02)
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pp. 269-275
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1968 ◽
Vol 64
(2)
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pp. 481-483
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