### Complete convergence theorems for normed row sums from an array of rowwise pairwise negative quadrant dependent random variables with application to the dependent bootstrap

Let $\{{X}_{n,j},1\le j\le m\left(n\right),n\ge 1\}$ be an array of rowwise pairwise negative quadrant dependent mean 0 random variables and let $0<{b}_{n}\to \infty $. Conditions are given for ${\sum}_{j=1}^{m\left(n\right)}{X}_{n,j}/{b}_{n}\to 0$ completely and for ${max}_{1\le k\le m\left(n\right)}\left|{\sum}_{j=1}^{k}{X}_{n,j}\right|/{b}_{n}\to 0$ completely. As an application of these results, we obtain a complete convergence theorem for the row sums ${\sum}_{j=1}^{m\left(n\right)}{X}_{n,j}^{*}$ of the dependent bootstrap samples $\{\{{X}_{n,j}^{*},1\le j\le m\left(n\right)\},n\ge 1\}$ arising from a sequence of i.i.d. random variables $\{{X}_{n},n\ge 1\}$.