Geodesic
Global approximations for the γ-order Lognormal distribution
Discussiones Mathematicae. Probability and Statistics, Tome 33 (2013) no. 1-2, pp. 99-110

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A generalized form of the usual Lognormal distribution, denoted with _γ, is introduced through the γ-order Normal distribution _γ, with its p.d.f. defined into (0,+∞). The study of the c.d.f. of _γ is focused on a heuristic method that provides global approximations with two anchor points, at zero and at infinity. Also evaluations are provided while certain bounds are obtained.
Keywords: cumulative distribution function, γ-order Lognormal distribution, global Padé approximation 
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     title = {Global approximations for the \ensuremath{\gamma}-order {Lognormal} distribution},
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Toulias, Thomas. Global approximations for the γ-order Lognormal distribution. Discussiones Mathematicae. Probability and Statistics, Tome 33 (2013) no. 1-2, pp. 99-110. http://geodesic.mathdoc.fr/item/DMPS_2013_33_1-2_a6/