Asymptotic distributions of standardized Ψ-sums for a class of distributions

Zishan Su; Chun Su; Zhishui Hu

doi:10.1007/s11464-007-0037-y

Front. Math. China ›› 2007, Vol. 2 ›› Issue (4) : 613 -622. DOI: 10.1007/s11464-007-0037-y

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Asymptotic distributions of standardized Ψ-sums for a class of distributions

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Abstract

On the basis of an extension for an early result of Khintchine, the class of asymptotic distributions of the standardized Ψ-sums for a class of distributions is obtained in this paper.

Keywords

Exponential inverse function / Ψ-sum / asymptotic distribution / infinitely divisible distribution

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Zishan Su, Chun Su, Zhishui Hu. Asymptotic distributions of standardized Ψ-sums for a class of distributions. Front. Math. China, 2007, 2(4): 613-622 DOI:10.1007/s11464-007-0037-y

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