H�jek-R�nyi Type Inequalities and Strong Law of Large Numbers for NOD Sequences

In the paper, we get the precise results of H ´ ajek-R´ enyi type inequalities for the partial sums of negatively orthant depende nt 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 o f negatively orthant dependent sequences is discussed.