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Berry-Esseen Bounds for Random Sums of Non-i.i.d. Random Variables

Nattakarn ChaideeMongkhon Tuntapthai

2009Mathematics被引 14

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摘要

Let (Xn) be a sequence of independent random variables and N a positive integral-valued random variable such that N,X1,X2,... are independent. In 2008, N.Chaidee and K.Neammenee [10] gave Berry-Esseen bounds for random sums in the case of X1,X2,... are identically distributed random variables by using Stein’s method. In this work, we use the technique from [10] to establish the Berry-Esseen bounds without assuming the identical distributions of X1,X2,....

引用本文(GB/T 7714)

Nattakarn Chaidee, Mongkhon Tuntapthai. Berry-Esseen Bounds for Random Sums of Non-i.i.d. Random Variables[J]. 未知来源, 2009.

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