A Simple Derivation of Moments of the Exponentiated Weibull Distribution

61 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

The beta generalized gamma distribution (2013, background): “In fact, the BGG distribution (6) generalizes the Weibull, exponentiated Weibull [15,16,31–34], beta exponential [19] and beta Weibull [24] distributions and other important models.”
Generalized beta-generated distributions (2012, background): “…1, respectively; the exponentiated Weibull (EW) (Mudholkar et al., 1995; Mudholkar et al., 1996; Nassar and Eissa, 2003; Nadarajah and Gupta, 2005; and Choudhury, 2005) and exponentiated exponential (EE) (Gupta and Kundu, 2001) distributions for b = c = 1 and b = c = λ = 1, respectively; and the…”
A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications (2014, background): “Hacettepe Journal of Mathematics and Statistics Volume 44 (6) (2015), 1491 – 1512”
A generalized modified Weibull distribution for lifetime modeling (2008, unknown): “When λ = 0, Choudhury (2005), Nadarajah (2005) and Nadarajah and Kotz (2005) show that the moments of the EW distribution for any r > −γ (both real and integer) are (which follow easily from ( 8)) µ r = E(T r ) = βα −r/γ (r/γ + 1) ∞ i=0 (1 − β) i i!”
The beta exponentiated Weibull distribution (2013, methodology): “The BEW distribution also contains as sub-models the EW 4–6 , 15 , EE 16 , BW 7 and BEE 13 distributions for α= b =1, <inline-graphic xmlns:xlink="http://www.”