Advances in the Statistical Characterization of Fading: From 2005 to Present

Table 1

Relevant statistical information on the novel fading distributions.

Fading distribution
𝜂-μ	The PDF, CDF, and MGF are expressed in closed-form (see [11–13]).
	It does include the one-sided Gaussian, Hoyt, Rayleigh, and Nakagami-𝑚 distributions as particular cases.
	Specifically, it does not include the Rician, Weibull, and Lognormal distributions.
𝜅-𝜇	The PDF, CDF, and MGF are expressed in closed-form (see [11, 12]).
	It does include the one-sided Gaussian, Rayleigh, Rician, and Nakagami-𝑚 distributions as particular cases.
	Specifically, it does not include the Hoyt, Weibull, and Lognormal distributions.
𝛼-𝜇	The PDF, CDF, and MGF are expressed in closed-form (see [16, 17]).
	It does include the one-sided Gaussian, Rayleigh, Nakagami-𝑚, exponential, gamma, and Weibull distributions as particular cases.
	Specifically, it does not include the Hoyt, Rician, and Lognormal distributions.
𝐺	The PDF is expressed in closed-form (see [19]). The CDF and MGF are expressed in closed-form only when the parameter 𝑚 is a natural number (see [19]).
	It does include the one-sided Gaussian, Rayleigh, Nakagami-𝑚, and inverse Gaussian distributions as particular cases.
	Specifically, it does not include the Hoyt, Rician, Weibull, and Lognormal distributions.
𝜅-𝜇 shadowed	The PDF, CDF, and MGF are expressed in closed-form (see [20]).
	It does include the one-sided Gaussian, Rayleigh, Nakagami-𝑚, Rician, Rician shadowed, and 𝜅-𝜇 distributions as particular cases.
	Specifically, it does not include the Hoyt, Weibull, and Lognormal distributions.