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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1154, author = {Thomas L. Toulias}, title = {Global approximations for the $\gamma$-order Lognormal distribution}, journal = {Discussiones Mathematicae Probability and Statistics}, volume = {33}, year = {2013}, pages = {99-110}, zbl = {1315.60024}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1154} }
Thomas L. Toulias. Global approximations for the γ-order Lognormal distribution. Discussiones Mathematicae Probability and Statistics, Tome 33 (2013) pp. 99-110. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1154/
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