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This paper is concerned with a simple and highly efficient random sequence generator for uncorrelatedα-κ-μandα-η-μvariates. The algorithm may yield an efficiency of almost 100%, and this high efficiency can be reached for all special cases such asα-μ, κ-μ, η-μ, Nakagami-m, Nakagami-q, Weibull, Hoyt, Rayleigh, Rice, Exponential, and the One-Sided Gaussian. This generator is implemented via the rejection technique and allows for arbitrary fading parameters. The goodness-of-fit is measured usingdoi:10.1155/2015/873890 fatcat:5wjxcgolgfezfencvfyyhfxw34