Moment estimates in the first Borel–Cantelli Lemma with applications to mean deviation frequencies
نویسندگان
چکیده
We quantify the elementary Borel–Cantelli Lemma by higher moments of overlap count statistic in terms weighted summability probabilities. Applications include mean deviation frequencies Strong Law and Iterated Logarithm.
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ژورنال
عنوان ژورنال: Statistics & Probability Letters
سال: 2022
ISSN: ['1879-2103', '0167-7152']
DOI: https://doi.org/10.1016/j.spl.2022.109636