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The purpose of this work is to perform the generalized secrecy capacity (i.e., secrecy rate and secrecy outage capacity) analysis of the scheduled transmit antenna selection scheme over non-identical Nakagami fading channels. Especially, this work considers maximal ratio combining (MRC) and selection combining (SC) at the authorized receiver and eavesdropper. To derive the secrecy capacity, this work derives accurate and asymptotic distribution functions (i.e., probability density function and cumulative distribution function) of the received signal to noise ratio (SNR) of the proposed scheme using MRC and SC receivers over non-identical Nakagami fading channels. Using the accurate distribution functions, this work derives the accurate average secrecy rate and tight average secrecy outage capacity of the proposed scheme for various combining scenarios over non-identical Nakagami fading channels. Using the asymptotic distribution functions, this work derives the asymptotic average secrecy capacity and quantifies the high SNR slope and the high SNR power offset for the average secrecy capacity over non-identical Nakagami fading channels. From numerical results, this work shows that the high SNR slope for the average secrecy capacity is one regardless of combining type. It means that neither the authorized parameters nor the eavesdropper parameters affect the high SNR slope over non-identical Nakagami fading channels. On the contrary, the high SNR power offset improves proportionally to the authorized parameters and inversely proportional to the eavesdropper parameters over non-identical Nakagami fading channels. [ABSTRACT FROM AUTHOR]