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On the Jajte strong law of large numbers

Pingyan Chen and Soo Hak Sung

Statistics & Probability Letters, 2021, vol. 176, issue C

Abstract: For a sequence of independent and identically distributed random variables, Jajte (2003) established a strong law of large numbers for weighted sums of the random variables. In this paper, we generalize the result of Jajte (2003). We also obtain a new strong law of large numbers for weighted sums of the random variables.

Keywords: Strong law of large numbers; Marcinkiewicz–Zygmund strong law; Slowly varying functions (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.spl.2021.109138

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