Global approximations for the γ-order Lognormal distribution

• Autorzy: Thomas L. Toulias
• Języki publikacji: EN

Abstrakty

EN

A generalized form of the usual Lognormal distribution, denoted with $𝓛𝓝_γ$, is introduced through the γ-order Normal distribution $𝓝_γ$, with its p.d.f. defined into (0,+∞). The study of the c.d.f. of $𝓛𝓝_γ$ 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.

Słowa kluczowe

EN

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

Kategorie tematyczne

• 62E15: Exact distribution theory
• 65C50: Other computational problems in probability
• 62H10: Distribution of statistics
• 60E05: Distributions: general theory

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae Probability and Statistics
• Rocznik: 2013
• Tom: 33
• Numer: 1-2
• Strony: 99-110

Daty

wydano

2013

otrzymano

2013-04-08

poprawiono

2013-09-11

Twórcy

autor

Thomas L. Toulias

• Technological Educational Institute of Athens, 12210 Egaleo, Athens, Greece

Bibliografia

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Identyfikatory

DOI

10.7151/dmps1154