Strong laws of large numbers for -mixing random variables

For the sequence of ρ ˜ -mixing identically distributed random variables, we show two general strong laws of large numbers (SLLNs) in which the coefficient of sum and the weight are both general functions, and as a consequence we obtain the Marcinkiewicz SLLN. Finally, we get a Chung type SLLN for ρ ˜ -mixing random variables.