# Global approximations for the γ-order Lognormal distribution

Discussiones Mathematicae Probability and Statistics (2013)

- Volume: 33, Issue: 1-2, page 99-110
- ISSN: 1509-9423

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topThomas L. Toulias. "Global approximations for the γ-order Lognormal distribution." Discussiones Mathematicae Probability and Statistics 33.1-2 (2013): 99-110. <http://eudml.org/doc/271047>.

@article{ThomasL2013,

abstract = {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.},

author = {Thomas L. Toulias},

journal = {Discussiones Mathematicae Probability and Statistics},

keywords = {cumulative distribution function; γ-order Lognormal distribution; global Padé approximation; -order lognormal distribution},

language = {eng},

number = {1-2},

pages = {99-110},

title = {Global approximations for the γ-order Lognormal distribution},

url = {http://eudml.org/doc/271047},

volume = {33},

year = {2013},

}

TY - JOUR

AU - Thomas L. Toulias

TI - Global approximations for the γ-order Lognormal distribution

JO - Discussiones Mathematicae Probability and Statistics

PY - 2013

VL - 33

IS - 1-2

SP - 99

EP - 110

AB - 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.

LA - eng

KW - cumulative distribution function; γ-order Lognormal distribution; global Padé approximation; -order lognormal distribution

UR - http://eudml.org/doc/271047

ER -

## References

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