Some limit theorems for weighted negative quadrant dependent random variables with infinite mean

Abstract

Abstract In the present paper, we will investigate weak laws of large numbers for weighted pairwise NQD random variables with infinite mean. The almost sure upper and lower bounds for a particular normalized weighted sum of pairwise NQD nonnegative random variables are established also.

Keywords

• Strong law
• Weak law of large numbers
• Pairwise negative quadrant dependent sequence