Distribution of the combinatorial multisets component vectors
Keyword(s):
We explore a class of random combinatorial structures called weighted multisets. Their components are taken from an initial set satisfying general boundedness conditions posed on the number of elements with a given weight. The component vector of a multiset of weight n taken with equal probability has dependent coordinates, nevertheless, up to r = o(n) of them as n→∞, we approximate by an appropriate vector comprised from independent negative binomial random variables. The main result is an estimate of the total variation distance.
2002 ◽
Vol 34
(03)
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pp. 609-625
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2002 ◽
Vol 34
(3)
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pp. 609-625
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1983 ◽
Vol 15
(03)
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pp. 585-600
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Keyword(s):
2017 ◽
Vol 2017
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pp. 1-11
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2016 ◽
Vol 52
(4)
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pp. 1614-1640
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2018 ◽
Vol 52
(4)
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pp. 662-679
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2014 ◽
Vol 59
(9)
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pp. 2353-2368
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