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A note on the von Weizsäcker theorem

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  • Tappe, Stefan

Abstract

The von Weizsäcker theorem states that every sequence of nonnegative random variables has a subsequence which is Cesàro convergent to a nonnegative random variable which might be infinite. The goal of this note is to provide a description of the set where the limit is finite. For this purpose, we use a decomposition result due to Brannath and Schachermayer.

Suggested Citation

  • Tappe, Stefan, 2021. "A note on the von Weizsäcker theorem," Statistics & Probability Letters, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:stapro:v:168:y:2021:i:c:s0167715220302297
    DOI: 10.1016/j.spl.2020.108926
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    References listed on IDEAS

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    1. Etemadi, Nasrollah, 1983. "On the laws of large numbers for nonnegative random variables," Journal of Multivariate Analysis, Elsevier, vol. 13(1), pages 187-193, March.
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