Global approximations for the γ-order Lognormal distribution
Thomas L. Toulias (2013)
Discussiones Mathematicae Probability and Statistics
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A generalized form of the usual Lognormal distribution, denoted with , is introduced through the γ-order Normal distribution , with its p.d.f. defined into (0,+∞). The study of the c.d.f. of 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.