For a triangular array {a_ n, k, 1\leqq k\leqq n, n\geqq 1\} an, k, 1≦ k≦ n, n≧ 1 of real numbers and a sequence of random variables {X_ n, n\geqq 1\} X n, n≧ 1 conditions are …
We study the convergence of weighted sums of associated random variables assuming only the existence of moments of order p< 2. We use a truncation technique together with …
We study the almost sure convergence and rates of weighted sums of associated random variables under the classical assumption of existence of Laplace transforms. This …
Sums of random variables have always attracted a lot of interest as their asymptotic behaviour raises relevant theoretical challenges. Moreover, many statistical procedures are …
We study the almost sure convergence and rates of weighted sums of associated random variables under the classical assumption of existence of Laplace transforms. This …