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

The arm of this paper is to establish the strong law of large numbers (SLLN) of m-dependent random variables under the framework of sub-linear expectations. We establish the SLLN for a sequence of independent, but not necessarily identically distributed random variables. The study further extends the SLLN to m-dependent and stationary sequence of random variables with the condition C ₕ (|X₁|) < which is the sufficient and necessary condition of SLLN in the case of independent and identically distributed random variables.