On the law of large numbers for weighted sums of pairwise negatively quadrant dependent random variables (Q2712536)

The authors investigate strong and weak laws of large numbers for weighted sums \(b_n^{-1}\displaystyle\sum^n_{i=1} a_iX_i\), \(n\geq 1\), of pairwise negatively quadrant dependent random variables \((X_i\), \(i\geq 1)\), where in particular \(b_n/na_n \to+\infty\), as \(n\to \infty\).NEWLINENEWLINENEWLINEReviewer's remark: The definition of negatively quadrant dependent random variables and reference to Lehmann's paper [8] are absent.