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On estimating the information fraction being induced by a finite sequence of moments

Yishan Zang, Serge B. Provost and Michel Adès

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 20, 6631-6651

Abstract: This article introduces a methodology for quantifying the proportion of information that sets of consecutive moments contain. The proposed approach relates a sequence of moments, up to a given order, to certain points that are deemed representative of the target distribution. It involves the use of Fritsch-Carlson monotonic interpolants in conjunction with the Kullback-Leibler measure of divergence. Four illustrative examples are presented.

Date: 2025
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DOI: 10.1080/03610926.2025.2461605

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