Chover-type Laws of the Iterated Logarithm for Weighted Sums of Na Sequences

CHOVER-TYPE LAWS OF THE ITERATED LOGARITHM FOR WEIGHTED SUMS OF rhoast-MIXING SEQUENCES

We call this a Chover-type LIL (laws of the iterated logarithm). This type LIL has been established by Vasudeva and Divanji [13], Zinchenko [14] for delayed sums, by Chen and Huang [3] for geometric weighted sums, and by Chen [2] for weighted sums. Qi and Cheng [11] extended the Chover-type law of the iterated logarithm for the partial sums to the case where the underlying distribution is in th...

Chover-type laws of the k -iterated logarithm for weighted sums of strongly mixing sequences

This note contains a Chover-type Law of the k -Iterated Logarithm for weighted sums of strong mixing sequences of random variables with a distribution in the domain of a stable law. We show that the upper part of the LIL is similar to other studies in the literature; conversely, the lower half is substantially different. In particular, we show that, due to the failure of the classical version o...

Chover-Type Laws of the Iterated Logarithm for Continuous Time Random Walks

Strong Laws for Weighted Sums of Negative Dependent Random Variables

In this paper, we discuss strong laws for weighted sums of pairwise negatively dependent random variables. The results on i.i.d case of Soo Hak Sung [9] are generalized and extended.

Self-normalized laws of the iterated logarithm

Stronger versions of laws of the iterated logarithm for self-normalized sums of i.i.d. random variables are proved.