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• W2000041844 abstract "The distribution of the sum of independent nonidentically distributed Bernoulli random vectors inRkis approximated by a multivariate Poisson distribution. By using a multivariate adaption of Kerstan's (1964,Z. Wahrsch. verw. Gebiete2, 173–179) method, we prove a conjecture of Barbour (1988,J. Appl. Probab.25A, 175–184) on removing a log-term in the upper bound of the total variation distance. Second-order approximations are included." @default.
• W2000041844 created "2016-06-24" @default.
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• W2000041844 date "1999-04-01" @default.
• W2000041844 modified "2023-10-04" @default.
• W2000041844 title "On the Rate of Multivariate Poisson Convergence" @default.
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• W2000041844 doi "https://doi.org/10.1006/jmva.1998.1789" @default.
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