Global approximations for the γ-order Lognormal distribution
Discussiones Mathematicae Probability and Statistics, Tome 33 (2013) no. 1-2, p. 99.
Voir la notice de l'article dans European Digital Mathematics Library
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.
Classification :
62H10, 62E15, 65C50
Mots-clés : cumulative distribution function, γ-order Lognormal distribution, global Padé approximation, -order lognormal distribution
Mots-clés : cumulative distribution function, γ-order Lognormal distribution, global Padé approximation, -order lognormal distribution
@article{DMPS_2013__33_1-2_271047, author = {Thomas L. Toulias}, title = {Global approximations for the \ensuremath{\gamma}-order {Lognormal} distribution}, journal = {Discussiones Mathematicae Probability and Statistics}, pages = {99}, publisher = {mathdoc}, volume = {33}, number = {1-2}, year = {2013}, zbl = {1315.60024}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/DMPS_2013__33_1-2_271047/} }
TY - JOUR AU - Thomas L. Toulias TI - Global approximations for the γ-order Lognormal distribution JO - Discussiones Mathematicae Probability and Statistics PY - 2013 SP - 99 VL - 33 IS - 1-2 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/DMPS_2013__33_1-2_271047/ LA - en ID - DMPS_2013__33_1-2_271047 ER -
Thomas L. Toulias. Global approximations for the γ-order Lognormal distribution. Discussiones Mathematicae Probability and Statistics, Tome 33 (2013) no. 1-2, p. 99. https://geodesic-test.mathdoc.fr/item/DMPS_2013__33_1-2_271047/