Fitting the log-logistic distribution by generalized moments

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Transmuted Log-Logistic Distribution (2013, methodology): “The log-logistic distribution has also been used in hydrology to model stream flow and precipitation [16], and [4], and for modeling flood frequency [1].”
The beta log-logistic distribution (2014, methodology): “It has also been used in hydrology to model stream flow and precipitation (Shoukri et al., 1988; Ashkar and Mahdi, 2006) and for modeling flood frequency (Ahmad et al., 1988).”
The Kumaraswamy-Log-Logistic Distribution (2012, methodology): “If G denotes the cdf of a random variable, Cordeiro and de Castro (2011) defined the Kum-G distribution by F (t) = 1− [1−G(t)], t > 0, (3)”
Marshall-Olkin extended log-logistic distribution and its application in minification processes (2013, methodology): “It has also been used in hydrology to model stream flow and precipitation, see [14] and [6], for modeling flood frequency , see [1].”