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Indexed by:期刊论文

Date of Publication:2021-01-10

Journal:COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

Volume:49

Issue:22

Page Number:5427-5435

ISSN No.:0361-0926

Key Words:Geometric distribution; tail probability; probability generating function; inequalities

Abstract: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).