The Lambert W function, Nuttall’s integral, and the Lambert law

Anthony G. Pakes

Statistics & Probability Letters, 2018, vol. 139, issue C, 53-60

Abstract: This paper offers a new proof that the principal Lambert W-function W(s) is a Bernstein function. The proof derives from a known integral evaluation and leads to a more detailed description of W(s) as a Thorin–Bernstein function with a real-variable description of the Thorin measure, and refinements of some known properties of the Lambert distribution.

Keywords: Lambert W function; Infinite divisibility; Bernstein function (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.spl.2018.03.015

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