H?jek-Rényi Type Inequalities and Strong Law of Large Numbers for NOD Sequences

Authors

Ma Songlin, Department of Mathematics, Chao Hu University, Chaohu, 238000, HeFei, P. R. ChinaFollow

Author Country (or Countries)

P. R. China

Abstract

In the paper, we get the precise results of H´ajek-R´enyi type inequalities for the partial sums of negatively orthant dependent sequences, which improve the results of Theorem 3.1 and Corollary 3.2 in Kim (2006). In addition, the Marcinkiewicz type strong law of large numbers is obtained. At last, the strong stability for weighted sums of negatively orthant dependent sequences is discussed.

Suggested Reviewers

N/A

Recommended Citation

Songlin, Ma (2013) "H?jek-Rényi Type Inequalities and Strong Law of Large Numbers for NOD Sequences," Applied Mathematics & Information Sciences: Vol. 07: Iss. 6, Article 47.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss6/47