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• W2120859764 abstract "Consider a sum ∑ 1 N Y i of random variables conditioned on a given value of the sum ∑ 1 N X i of some other variables, where X i and Y i are dependent but the pairs ( X i , Y i ) form an i.i.d. sequence. We consider here the case when each X i is discrete. We prove, for a triangular array (( X ni , Y ni )) of such pairs satisfying certain conditions, both convergence of the distribution of the conditioned sum (after suitable normalization) to a normal distribution, and convergence of its moments. The results are motivated by an application to hashing with linear probing; we give also some other applications to occupancy problems, random forests, and branching processes." @default.
• W2120859764 created "2016-06-24" @default.
• W2120859764 creator A5022615833 @default.
• W2120859764 date "2001-06-01" @default.
• W2120859764 modified "2023-09-25" @default.
• W2120859764 title "Moment convergence in conditional limit theorems" @default.
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• W2120859764 doi "https://doi.org/10.1239/jap/996986753" @default.
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