Strong law of large numbers for $m$-dependent and stationary random variables under sub-linear expectations

In this paper, we establish the strong law of large numbers (SLLN) of m-dependent random variables under the framework of sub-linear expectations. The SLLN is established for a sequence of independent but not necessarily identically distributed random variables. We further extend the SLLN to an m-dependent and stationary sequence of random variables with the condition that C_widehatmathbbVX_1)<∞ which is also proved to be the necessary condition of SLLN in the m-dependence and identically distribution case.