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An almost sure limit theorem for the product of partial sums with stable distribution

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  • Gonchigdanzan, Khurelbaatar

Abstract

We prove an almost sure limit theorem for the product of partial sums of random variables in the domain of attraction of an [alpha]-stable law when 1

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  • Gonchigdanzan, Khurelbaatar, 2008. "An almost sure limit theorem for the product of partial sums with stable distribution," Statistics & Probability Letters, Elsevier, vol. 78(18), pages 3170-3175, December.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:18:p:3170-3175
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    References listed on IDEAS

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    1. Qi, Yongcheng, 2003. "Limit distributions for products of sums," Statistics & Probability Letters, Elsevier, vol. 62(1), pages 93-100, March.
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    Cited by:

    1. Zhicheng Chen & Hongyun Zhang & Xinsheng Liu, 2020. "Almost Sure Convergence for the Maximum and Minimum of Normal Vector Sequences," Mathematics, MDPI, vol. 8(4), pages 1-11, April.
    2. Gonchigdanzan, Khurelbaatar & Kosinski, Kamil M., 2009. "On the functional limits for partial sums under stable law," Statistics & Probability Letters, Elsevier, vol. 79(17), pages 1818-1822, September.

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