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This paper discusses antenna sub-set selection in multiple-input multiple-output wireless systems. The antennas are selected so as to maximize the channel capacity. We present a near-optimal selection algorithm that enables tractable statistical analysis of the selection gain. We show that with antenna selection the capacity is statistically lower bounded by the capacity of the set of parallel independent SIMO channels each with selection diversity. We leverage this result to prove the equivalence in diversity order between the full system (all receive antennas) and the system with antenna selection. Simulations validating analysis and illustrating algorithm performance are also presented.