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论文类型：期刊论文

发表时间：2016-12-01

发表刊物：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录刊物：SCIE、Scopus

卷号：444

期号：1

页面范围：737-744

ISSN号：0022-247X

关键字：Inverse Gaussian distribution; Completely monotonic functions; Inequality; Lower and upper bounds

摘要：In this note, we prove new complete monotonicity properties of some functions associated with the inverse Gaussian distribution. Based on these properties, we present some lower and upper bounds with explicit expressions for the Mills' ratio of the inverse Gaussian distribution. Finally, for demonstrating the efficiency of our estimates, some numerical computations are provided. (C) 2016 Elsevier Inc. All rights reserved.