Abstract
Suppose thatX 1,X 2,... is a sequence of iid random variables taking values inZ +. Consider the random sequenceA(X)≡(X 1,X 2,...). LetY n be the number of integers which appear exactly once in the firstn terms ofA(X). We investigate the limit behavior ofn −(1−δ) Y n for δɛ[0, 1].
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References
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Key, E.S. Rare numbers. J Theor Probab 5, 375–389 (1992). https://doi.org/10.1007/BF01046742
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DOI: https://doi.org/10.1007/BF01046742