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The frequency scarcity imposed by fast growing demand for mobile data servicerequires promising spectrum aggregation systems. The so-called higher-orderstatistics (HOS) of the channel capacity is a suitable metric on the systemperformance. While prior relevant works have improved our knowledge on the HOScharacterization of spectrum aggregation systems, an analytical frameworkencompassing generalized fading models of interest is not yet available. Inthis paper, we pursue a detailed HOS analysis of $\kappa$-$\mu$ and$\kappa$-$\mu$ shadowed fading channels by deriving novel and exactexpressions. Furthermore, the simplified HOS expressions for the asymptoticallylow and high signal-to-noise regimes are derived. Several important statisticalmeasures, such as amount of fading, amount of dispersion, reliability,skewness, and kurtosis, are obtained by using the HOS results. Moreimportantly, the useful implications of system and fading parameters onspectrum aggregation systems are investigated for channel selection. Finally,all derived expressions are validated via Monte-Carlo simulations.

On High-Order Capacity Statistics of Spectrum Aggregation Systems over $\kappa$-$\mu$ and $\kappa$-$\mu$ shadowed Fading Channels