Some Inequalities of Partial Sums for Negatively Dependent Random Variables

Abstract:

The main purpose of this paper is to investigate some properties of partial sums for negatively dependent random variables. By using some special numerical functions, and we get some probability inequalities and exponential inequalities of partial sums, which generalize the corresponding results for independent random variables and associated random variables. At last, exponential inequalities and Bernsteins inequality for negatively dependent random variables are presented.

• Periodical: Applied Mechanics and Materials (Volumes 195-196)
• Pages: 694-700
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.195-196.694
• Online since: August 2012
• Authors: Hai Wu Huang, Qun Ying Wu, Guang Ming Deng
• Keywords: Exponential Inequalities, Negatively Dependent Random Variables, Partial Sums, Probability Inequalities

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