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In this letter, we find cumulative distribution function (CDF) and probability density function (PDF) of the generalized max-min Exponential random variable (RV) in terms of converging power series. By using the PDF of this RV, the average bit error rate (BER) of the max-min criterion based best path selection scheme in multi-hop decode-and-forward (DF) cooperative communication system over Rayleigh fading channels is analyzed. It is demonstrated by the analysis and simulation that max-min criterion based path selection works very well in the multi-hop DF cooperative system.
Date of Publication: December 2012