Complete convergence for weighted sums of arrays of rowwise ρ ˜ -mixing random variables
Complete convergence for weighted sums of arrays of rowwise ρ ˜ -mixing random variables
Let be an array of rowwise -mixing random variables. Some sufficient conditions for complete convergence for weighted sums of arrays of rowwise -mixing random variables are presented without assumptions of identical distribution. As applications, the Baum and Katz type result and the Marcinkiewicz-Zygmund type strong law of large numbers for …