Mathematics, Volume 12, Issue 23
2024 December-1 - 241 articles
Cover Story: 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 on entropy convergence obtained by the authors concerning the indeterminate Stieltjes moment problem, the lognormal distribution is accurately reconstructed by the maximum entropy technique using only its integer moment sequence, although it is not uniquely determined by moments. View this paper - Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
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