An almost sure limit theorem for moving averages of random variables between the strong law of large numbers and the Erdös-Rényi law
ESAIM: Probability and Statistics, Tome 2 (1998), pp. 163-183 
@article{PS_1998__2__163_0,
     author = {Lanzinger, Hartmut},
     title = {An almost sure limit theorem for moving averages of random variables between the strong law of large numbers and the {Erd\"os-R\'enyi} law},
     journal = {ESAIM: Probability and Statistics},
     pages = {163--183},
     year = {1998},
     publisher = {EDP Sciences},
     volume = {2},
     mrnumber = {1655989},
     zbl = {0915.60049},
     language = {en},
     url = {https://www.numdam.org/item/PS_1998__2__163_0/}
}
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Lanzinger, Hartmut. An almost sure limit theorem for moving averages of random variables between the strong law of large numbers and the Erdös-Rényi law. ESAIM: Probability and Statistics, Tome 2 (1998), pp. 163-183. https://www.numdam.org/item/PS_1998__2__163_0/

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