ArticleStatistics & probability letters2026
Bandwidth of gamma-distribution-shaped functions via Lambert W function.
Article in Statistics & probability letters, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
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Abstract
The full width at half maximum (FWHM) is a useful quantity for characterizing the bandwidth of unimodal functions. However, a closed-form expression for the FWHM of gamma-shaped functions - i.e. functions that are shaped like the gamma distribution probability density function (PDF) - is not widely available. Here, we derive and present just such an expression. To do so, we use the Lambert W function to compute the inverse of the gamma PDF. We use this inverse to derive an exact analytic expression for the full-width at an arbitrary
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