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In this paper, a very accurate approximation method for the statistics of thesum of M\'{a}laga-$\mathcal{M}$ random variates with pointing error (MRVs) isproposed. In particular, the probability density function of MRV isapproximated by a Fox's $H$-function through the moment-based approach. Then,the respective moment-generating function of the sum of $N$ MRVs is provided,based on which the average symbol error rate is evaluated for an $N $-branchmaximal-ratio combining (MRC) receiver. The retrieved results show that theproposed approximate results match accurately with the exact simulated ones.Additionally, the results show that the achievable diversity order increases asa function of the number of MRC diversity branches.

On the Distribution of the Sum of M\'{a}laga-$\mathcal{M}$ Random Variables and Applications