Using fractional derivatives to derive marginal densities

Clicks: 9
ID: 337325
2026
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Abstract
Abstract This paper presents a novel method for analytical derivations of marginal densities using the fractional derivatives of moment-generating functions. Although the method requires likelihood functions to take specific forms, its assumptions are otherwise modest. It only requires that the prior moment-generating functions exist, are finite, and are continuous and differentiable at certain points. We also present the probabilistic and statistical insights behind this method.
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openalex_W4403706505 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors
Journal jurnal biometrika dan kependudukan
Year 2026
DOI
10.1093/biomet/asag069
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