Explicit expressions for moments of order statistics

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The exponentiated generalized gamma distribution with application to lifetime data (2011, background): “Now this integral can be obtained from Equations (24) and (25) of Nadarajah [20] in terms of the Lauricella function of type A [21,22] defined by F (n) A (a; b1, . . . , bn; c1, . . . , cn; x1, . . . , xn) = ∞∑ m1=0 · · · ∞∑ mn=0 (a)m1+···+mn(b1)m1 · · · (bn)mn (c1)m1 · · · (cn)mn x m1 1 · · · xmnn ”
The Kumaraswamy generalized gamma distribution with application in survival analysis (2011, background): “(24) and (25) of Nadarajah [33] in terms of the Lauricella function of type A [15,2] defined by F (n) A (a; b1, .”
Closed-form expressions for moments of a class of beta generalized distributions (2011, background): “, we can solve the last integral following equations (9)–(11) of Nadarajah (2008).”
Generalized beta-generated distributions (2012, methodology): “(iii) For the generalized beta Gumbel (GBGu) distribution, say F (x) = 1−exp{− exp (−x−μ σ )} , the moments of Y having the exponentiated-Gumbel(a) can be obtained from Nadarajah and Kotz (2006) as”