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论文类型：期刊论文

发表时间：2021-01-10

发表刊物：COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

卷号：49

期号：22

页面范围：5427-5435

ISSN号：0361-0926

关键字：Geometric distribution; tail probability; probability generating function; inequalities

摘要：In this paper, compared with the results in Janson (2018), we provide some improved explicit bounds for the tail probabilities of the sum of independent geometric variables with their expectations and variances. Particularly, in some cases, we demonstrate that our bounds are sharper than the ones in Janson (2018).