The Lognormal Distribution Is Characterized by Its Integer Moments

The lognormal moment sequence is considered. Using the fractional moments technique, it is first proved that the lognormal has the largest differential entropy among the infinite positively supported probability densities with the same lognormal-moments. Then, relying on previous theoretical results...

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Bibliographic Details
Main Authors: Pier Luigi Novi Inverardi, Aldo Tagliani
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/12/23/3830
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